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Math

Bluegrass Middle School Academic Conference 15 rounds of 35 multiple-choice questions

Copyright © 2014 Academic Hallmarks Math Round 1 Page 1 1. Altitude Measurement 6. Light A glider caught in an extraordinary thermal rose from To the nearest million miles, how far does light travel sea level to an altitude of 27,000 feet. How many feet in 10 seconds? above 5 miles did it travel? A. 1 A. 250 B. 2 B. 600 C. 3 C. 950 D. 4 D. 1100 E. 5 E. 2000

2. 7. Quadrilaterals Congruent figures are of the same size and ... The perimeters of two similar quadrilaterals are 48 A. color and 60. One side of the smaller quadrilateral is 16. B. shape The corresponding side of the larger figure is ... C. weight A. 20 D. texture B. 22 E. opacity C. 24 D. 26 E. 28

3. Sums of 8. Operations What is the sum of the squares of two consecutive even [(25/5) + 3(8/4)](8-3) equals ... whose sum is 26? A. 54 A. 260 B. 55 B. 280 C. 56 C. 300 D. 57 D. 320 E. 58 E. 340

4. Quadrilaterals 9. Averages The perimeter of a rectangle with a width of 9 feet and Determine the average age of 4 sea turtles whose ages a length 2.5 times the width is ---- yards. are 10, 21, 25, and 30? A. 21 A. 20 B. 22 B. 20.5 C. 23 C. 21 D. 24 D. 21.5 E. 25 E. 22

5. Algebraic Applications 10. Paper Folding One is twice another. The larger number is If you fold a piece of paper in half six times, how diminished by 10. The result is 7 more than the many layers do you end up with? smaller number. Find the smaller one. A. 16 A. 13 B. 28 B. 14 C. 32 C. 15 D. 48 D. 16 E. 64 E. 17 Math Round 1 Page 2 11. Proportions 16. Factoring Which is a proportion? The largest prime factor of 360 is ... A. 6 is to 9 as 2 is to 4 A. 2 B. 3 is to 5 as 9 is to 45 B. 3 C. 4 is to 7 as 6 is to 11 C. 5 D. 5 is to 8 as 10 is to 16 D. 7 E. 7 is to 11 as 8 is to 13 E. 11

12. Fine Feathered Friends 17. Mathematical Properties Given the first set, which choice illustrates a disjoint What mathematical property is illustrated in this set, or one with no common elements? equation? (kiwi, hoopoe, dove, eagle, raven) n(q+r) = nq + nr A. (eagle, kiwi, dove) A. reflexive B. (magpie, raven, lark) B. symmetric C. (macaw, thrush, dove) C. associative D. (emu, sparrow, falcon) D. distributive E. (hoopoe, owl, buzzard) E. commutative

13. Gas Mixtures 18. Speed Problems One gallon of gas contains 128 ounces. If the fuel-oil A driver averaging 175 miles per hour in a race is mixture is supposed to be 16 to 1, how many gallons going how many miles per minute? of gas do you need if you have 32 ounces of oil? A. 2.24 A. 2 B. 2.92 B. 4 C. 3.46 C. 6 D. 3.61 D. 8 E. 4.08 E. 10

14. Pollution Math 19. Age Algebra 20 pounds of carbon dioxide result from burning one Little Nell is 5 days old and Dudley is 25 days old. In gallon of gasoline. For an SUV averaging 15 mpg, how many days will Dudley be three times as old as how many pounds of carbon dioxide are produced Nell? during a 120-mile excursion? A. 5 A. 80 B. 10 B. 100 C. 15 C. 120 D. 20 D. 140 E. 25 E. 160

15. Statistics 20. Pressure Each of 8 bunnies weighs 8 pounds while 8 javelina A metallic cube 6 centimeters on an edge weighs 144 weigh 60 pounds each. The mean weight of all these grams. In grams per centimeter, how much animals is ---- pounds. pressure does it exert? A. 30 A. 2 B. 32 B. 4 C. 34 C. 6 D. 36 D. 8 E. 38 E. 10 Math Round 1 Page 3 21. Percent 26. Trail Work If 20 is 40% of a number, what is 60% of that A scout troop rebuilt 90% of a trail 8 miles long. number? How many feet of the trail remain? A. 25 A. 4036 B. 30 B. 4224 C. 35 C. 4440 D. 40 D. 4642 E. 45 E. 4858

22. 27. Mechanical Drawing A 3" by 4" rectangle is inside a triangle with a base of The scale on a drawing says 3 inches equal 1 yard. 8" and a height of 10". How many square inches are The drawing is what of the size of the actual outside of the rectangle but inside the triangle? object? A. 28 A. 1/4 B. 38 B. 1/6 C. 48 C. 1/8 D. 58 D. 1/12 E. 68 E. 1/16

23. Piled Metric Measures 28. LCM and GCF Fifteen identical boxes sit on top of one another in a What is x if two , 16 and x, have a least pile 3 meters high. In millimeters, what is the height common multiple of 48 and a greatest common factor of each box? of 8? A. 50 A. 12 B. 100 B. 16 C. 150 C. 18 D. 200 D. 22 E. 250 E. 24

24. Age Problems 29. Arcs The sum of the ages of Clara's three cats is 18. The Consider an of 144 degrees at the center of a greatest possible product of their ages is ... circle. The arc subtended by this angle is what part of A. 54 the circle's circumference? B. 162 A. .2 C. 216 B. .3 D. 512 C. .4 E. 729 D. .5 E. .6

25. Angle Measures 30. Ballistics How many seconds are there in 1 degree and 6 A missile traveling at 9600 feet per second goes about minutes? how many miles in 15 seconds? A. 3420 A. 21 B. 3600 B. 23 C. 3780 C. 25 D. 3960 D. 27 E. 4140 E. 29 Math Round 1 Page 4 31. Prime Numbers Multiply the first prime number larger than 9 by the first prime number larger than 25. A. 260 B. 286 C. 300 D. 308 E. 319

32. Which number can be expressed as a terminating ? A. 7/9 B. -3/5 C. 25/9 D. -2/11 E. 10/33

33. Syllabication What is the product of the smallest integer with two syllables and the largest integer with one syllable? A. 22 B. 48 C. 66 D. 84 E. 140

34. Leaping Lizards A lizard has a 160-foot head start on a hungry roadrunner. Each second, the roadrunner covers 9 feet while the doomed lizard goes 5 feet. How many seconds will the chase last? A. 35 B. 40 C. 45 D. 50 E. 55

35. Elevator Travel Dal rode an elevator up 5 floors, down 2 floors, down 3 floors, and up 4 floors to the 11th floor where he got off. He started on which floor? A. 6th B. 7th C. 8th D. 9th E. 10th Math Round 1 - Answers 1. B 2. B 3. E 4. A 5. E 6. B 7. A 8. B 9. D 10. E 11. D 12. D 13. B 14. E 15. C 16. C 17. D 18. B 19. A 20. B 21. B 22. A 23. D 24. C 25. D 26. B 27. D 28. E 29. C 30. D 31. E 32. B 33. D 34. B 35. B Math Round 2 Page 1 1. Graphing 6. Primes A pie graph of Maukrosoft expenses shows 12 cents Which is not a prime number? of every dollar goes to research, 9 cents to advertising, A. 47 and 54 cents to anchovy snacks. The arc representing B. 59 the remaining expenses is subtended by an angle of C. 71 ---- degrees. D. 123 A. 50 E. 127 B. 60 C. 70 D. 80 E. 90 2. Metric Prefixes 7. Calculator Notation Ten to the third power may be expressed by what What is the decimal equivalent of a number expressed metric prefix? on a calculator as "3.162e4"? A. mega A. 3,162 B. deka B. 31,620 C. nano C. 316,200 D. giga D. 3,162,000 E. kilo E. 31,620,000

3. Pond Life 8. Light Sixty toads are 1/3 of the amphibians in a pond and Light travels about ---- miles in one millisecond. amphibians are 1/4 of the creatures in the pond. How A. 1.86 many creatures are in the pond? B. 18.6 A. 180 C. 186 B. 240 D. 1,860 C. 360 E. 18,600 D. 540 E. 720

4. Prodigious Producers 9. Percentage In the U.S., five million farmers provide food for 260 Which expression is equal to 6% of 420? million people. So, farmers comprise what percent of A. 420/6 the population? B. 6/420 A. 2 C. 6(420) B. 4 D. 0.6(420) C. 6 E. 0.06(420) D. 8 E. 10

5. Consecutive Integers 10. Rounding What is the largest of four consecutive odd integers The number 0.84 has been correctly rounded from ... with a sum of 64? A. 0.83392 A. 15 B. 0.86003 B. 17 C. 0.84517 C. 19 D. 0.84399 D. 21 E. 0.83442 E. 23 Math Round 2 Page 2 11. Geometric Figures 16. Cubes If all of the sides are 4 inches, the sum of the A cube 14 inches on a side can be divided into how perimeters of a triangle, a pentagon, and a hexagon is many cubes 7 inches on a side? ... A. 2 A. 44 B. 4 B. 48 C. 6 C. 52 D. 8 D. 56 E. 10 E. 60

12. Square Roots 17. Continued Multiply the of 121 by the square root of As a continued , express 1/4 day to 4 hours to 30 64. minutes. A. 70 A. 4 to 2 to 1 B. 77 B. 6 to 2 to 1 C. 80 C. 8 to 4 to 1 D. 88 D. 10 to 6 to 1 E. 90 E. 12 to 8 to 1

13. 18. Sumerian Math 7/8 is the simplest representation of ... The Sumerians stated large numbers in 60s. For A. 2500/4000 example, they stated 120 as two 60s and 180 as three B. 3000/4700 60s. What did they divide into six 60s? C. 4200/4800 A. circles D. 4700/5300 B. triangles E. 5500/6500 C. hexagons D. heptagons E. pentagons

14. Box Bashing 19. High Probability The of the bottom of a topless cubical box is 64 An event certain to occur has a probability of ... square inches. You cut the box edges and flatten it A. 0 into a plus sign shape. Its perimeter is now ---- B. 1 inches. C. 10 A. 72 D. 100 B. 80 E. 1000 C. 88 D. 96 E. 104

15. Tournament Math 20. Stockholder Percentages In a single elimination Ping-Pong tournament 35% of the employees of a company have stock in involving sixteen players, how many games must be Silverado Savings. Employees lacking such stock played to determine the winner? number 923. How many hold stock? A. 7 A. 420 B. 9 B. 436 C. 11 C. 458 D. 13 D. 474 E. 15 E. 497 Math Round 2 Page 3 21. Bullet Velocity 26. Triangles A bullet speeding along at 1320 feet per second The lengths of the sides of a triangle are three covers what fraction of a mile in one second? consecutive integers. If the perimeter is 72 feet, the A. 1/7 length of the longest side is ---- feet. B. 1/6 A. 21 C. 1/5 B. 23 D. 1/4 C. 25 E. 1/3 D. 27 E. 29

22. Volume Measure 27. Alien Probability Mr. Bunyan cut and split 1024 cubic feet of wood or Three out of four Neptunians are eight-legged and how many cords? two out of five have lavender lips. The probability A. 4 that their leader is a lavender-lipped eight-legged B. 5 being is ... C. 6 A. 1 in 2 D. 7 B. 2 in 3 E. 8 C. 3 in 4 D. 5 in 9 E. 3 in 10

23. Half-Life 28. Weight Problems If the radioactive cesium released in the 1986 Every day, Big Bad Boris gains 2 pounds. He will Chernobyl disaster has a half life of 30 years, ---- of it weigh 280 pounds in 7 days if he weighed ... will still be radioactive in 2106. A. 228 pounds 17 days ago A. 50% B. 230 pounds 18 days ago B. 25% C. 232 pounds 19 days ago C. 12.5% D. 234 pounds 20 days ago D. 6.25% E. 236 pounds 21 days ago E. 3.125%

24. Probability 29. Big Addition There is a one-in-six chance that a dropped ... You add 1 billion to the sum of 1 trillion and 1 A. die will come up 4 quadrillion. The sum of these numbers contains how B. coin will come up tails many zeros? C. box will land on an edge A. 13 D. cat will land on its paws B. 15 E. cone will land on its base C. 17 D. 19 E. 21

25. Percents 30. Successions Add these percentages and express the sum as a What is the square of the next number in this decimal number. sequence? .5% 5.55% 55% .55% 55.5% 3, -4, 6, -8, 12, ... A. 1.171 A. 169 B. 1.341 B. 196 C. 1.611 C. 225 D. 1.791 D. 256 E. 1.861 E. 289 Math Round 2 Page 4 31. Age Comparisons Who is oldest if Bob is older than Kent, Kent is older than Slim, Mel is younger than Tim, and Tim is older than Bob? A. Bob B. Mel C. Tim D. Slim E. Kent

32. Number Categories Which is a mixed number? A. 11/5 B. 6.6266 C. LXXIV.II D. 298 3/7 E. 38.5 squared

33. Sequence Arithmetic What is the sum of the next two numbers in this sequence? 15 11.5 8 4.5 ... A. -1.5 B. -2.5 C. -3.5 D. -4.5 E. -5.5

34. Algebraic Speeds A bus takes x hours to cover y miles. How many hours will it take to travel z miles at the same rate? A. xyz B. xz/y C. x/xz D. xy/z E. yz/x

35. Multiples 330 is the least common multiple of 6, 15, and ... A. 9 B. 10 C. 11 D. 12 E. 13 Math Round 2 - Answers 1. E 2. E 3. E 4. A 5. C 6. D 7. B 8. C 9. E 10. D 11. D 12. D 13. C 14. D 15. E 16. D 17. E 18. A 19. B 20. E 21. D 22. E 23. D 24. A 25. A 26. C 27. E 28. B 29. A 30. D 31. C 32. D 33. A 34. B 35. C Math Round 3 Page 1 1. Laws of Signs 6. Finance Which is incorrect? When Jean made a down payment of $1500 on a new A. (+)(+) = + $25,000 car, she qualified for a $600 factory rebate. B. (+)(-) = - Her monthly payments will be initially based on a C. (-)(-) = - principal of ... D. (-)/(+) = - A. $22,900 E. (-)/(-) = + B. $23,500 C. $24,400 D. $25,000 E. $25,600

2. Fund Figuring 7. Powers of Erosion George has $24, Glenda has twice as much money as If a river deepens its channel by one tenth of a George, and Goldie has four times as much as Glenda. centimeter annually, in one million years it will What is the average amount? deepen the channel by about one ... A. $80 A. decimeter B. $82 B. meter C. $84 C. dekameter D. $86 D. hectometer E. $88 E. kilometer

3. Mapping 8. Equivalence On a certain map, 1 centimeter equals 3 kilometers. Which is not equivalent to the others? The area of the land represented by a square on that A. 891 map with a perimeter of 20 centimeters is ---- square B. 900 - 9 kilometers. C. (33)(27) A. 9 D. 2773 / 3 B. 25 E. 3 x 3 x 3 x 3 x 11 C. 75 D. 125 E. 225

4. Sail Area 9. Arcs The area of a triangular sail 22 feet long at its base If its vertex is on the circle, how many degrees are in and 73 feet high is ---- square feet. an angle that subtends an arc of 48 degrees? A. 763 A. 12 B. 773 B. 16 C. 783 C. 24 D. 793 D. 48 E. 803 E. 96

5. Algebraic Factoring 10. Gearing Factor x squared - 2xy + y squared. Two gear wheels are meshed. One has 36 teeth and A. (-x)(x+y) the other 8 teeth. How many times must the smaller B. (-y)(x+y) wheel turn before the larger wheel makes a complete C. (x+y)(x-y) revolution? D. (-xy)(-xy) A. 3 E. (x-y)(x-y) B. 3.5 C. 4 D. 4.5 E. 5 Math Round 3 Page 2 11. Measurement Proportions 16. Mathematical Statements On a map, 1 inch represents 4 yards. A bunny moves Which statement is incorrect? 3 feet per hop. How many hops will it need to cover A. a + 0 + 1 = a the distance equal to 15 inches on the map? B. -a + -(-a) = 0 A. 30 C. (a+b) + c = a + (b+c) B. 40 D. if a>b then a+c > b+c C. 50 E. if a > b and b > c then a > c D. 60 E. 70

12. Space Speed 17. Primes How many miles does a spacecraft travel in 8 seconds Multiply the first prime number larger than 5 by the if it is traveling at 18,000 miles per hour? first prime number larger than 27. A. 20 A. 203 B. 40 B. 237 C. 60 C. 271 D. 80 D. 319 E. 100 E. 331

13. Quadrilaterals 18. Networks Angle A in parallelogram ABCD is one fourth as large If you connect telephone lines from each house in a as angle B. How many degrees are in angle B? 4-house town to every other house, how many lines A. 36 are needed? B. 48 A. 4 C. 96 B. 5 D. 112 C. 6 E. 144 D. 7 E. 8

14. Fuel Cost 19. Proportions Your car runs on pure alcohol and gets 20 miles per If Popeye spent $30 for 40 cans of spinach, how much gallon. If 200 gallons of alcohol can be made per would 160 cans of spinach cost? acre of corn and you drive 18,000 miles annually, you A. $110 could make all your fuel for the year from how many B. $120 acres of corn? C. $130 A. 1.5 D. $140 B. 2.5 E. $150 C. 3.5 D. 4.5 E. 5.5 15. Duration Computation 20. Radioactivity Bernice is twice as old as Brunhilde and Brunhilde is After two hours, 1/16 of the original radioactive twice as old as Beulah. How old is Bernice if Beulah is material remains undecayed. The half-life of this 15 years old? substance is --- minutes. A. 30 A. 20 B. 40 B. 30 C. 50 C. 40 D. 60 D. 50 E. 70 E. 60 Math Round 3 Page 3 21. Sets 26. Integers Which are overlapping sets? What is the greatest of five consecutive odd integers A. {5, 7} and {4, 6, 8} whose sum is 175? B. {6, 8, 10} and {7, 9, 11} A. 35 C. {2, 4, 6, 8} and {8, 6, 4, 2} B. 37 D. {1, 2, 3, 4, 5} and {8, 10, 12} C. 39 E. {3, 7, 9, 12, 15} and {1, 4, 8, 9, 12} D. 41 E. 43

22. Faster than a Speeding Bullet 27. Clock About how many seconds does it take light to travel The minute hand of a clock turns through how many 930,000 miles? degrees in 1 hour and 15 minutes? A. 2 A. 390 B. 5 B. 410 C. 8 C. 430 D. 11 D. 450 E. 14 E. 470

23. Garden Problems 28. Graphing Five deer can strip a garden in twelve hours. It would Find the distance between these points. it take ---- hours for six deer to strip it. (-2, -6) and (-2, -21) A. 7 A. 9 B. 8 B. 11 C. 9 C. 13 D. 10 D. 15 E. 11 E. 17

24. Rectangle Areas 29. Interest Problems The rectangle with the greatest area is the one with Ivan invested $3000 at 8% simple annual interest. dimensions of ---- meters. How much interest did he earn after three months? A. 5 by 13 A. $45 B. 6 by 12 B. $50 C. 7 by 11 C. $55 D. 8 by 10 D. $60 E. 9 by 9 E. $65

25. Longer Lives 30. Puppy Partitioning In 1900, the U.S. life expectancy was 49 years. By A crowded humane society divided 800 puppies into 1940, it had increased to 64 years, an increase of three pens. 270 of them went into pen 1. 150 more about ---- percent. were put into pen 2 than into pen 3. How many went A. 17 into pen 2? B. 20 A. 310 C. 26 B. 320 D. 31 C. 330 E. 35 D. 340 E. 350 Math Round 3 Page 4 31. Alien Ratios A trained blue-collar Neptunian can make 300 urldobs per hour. So how many minutes does he require to make 40 urldobs? A. 2 B. 4 C. 6 D. 8 E. 10

32. Missing Number Series Find the missing number in this sequence. 2 9 7 14 12 -- 17 24 22 A. 11 B. 13 C. 16 D. 18 E. 19

33. A Gross Problem There are how many dozen in seven gross? A. 78 B. 80 C. 82 D. 84 E. 86

34. Numbers Which number is not a perfect square? A. 121 B. 144 C. 169 D. 196 E. 220

35. Fuel Usage An airplane consumes fuel at the rate of 12 gallons per hour. 54 gallons remain in the tank. The fuel lasts ---- hours. A. 3.6 B. 4.5 C. 5.2 D. 6.1 E. 7.8 Math Round 3 - Answers 1. C 2. E 3. E 4. E 5. E 6. A 7. E 8. D 9. C 10. D 11. D 12. B 13. E 14. D 15. D 16. A 17. A 18. C 19. B 20. B 21. E 22. B 23. D 24. E 25. D 26. C 27. D 28. D 29. D 30. D 31. D 32. E 33. D 34. E 35. B Math Round 4 Page 1 1. Probability 6. Square Root Problems In a pit are 16 butchers, 12 bakers, and 8 candlestick If the square root of (3x + 1) = x - 3, one possible makers. You hand down a ladder. What is the value of x is ... probability that the first one to climb out will be a A. 4 baker? B. 5 A. 1/3 C. 6 B. 2/3 D. 7 C. 2/9 E. 8 D. 4/9 E. 5/9

2. Clock Angles 7. Serengeti Math In 40 minutes, the second hand of a watch sweeps A hyena chasing a chevrotain with a 45-yard head through an angle of how many degrees? start leaps 9 feet each time the little deer scampers 6 A. 3,600 feet. The hyena will overtake its prey in how many B. 7,200 leaps? C. 10,800 A. 41 D. 14,400 B. 43 E. 16,000 C. 45 D. 47 E. 49

3. Paleolithic Proportions 8. Pony Express Metrics At the same time that a 5' 6" caveman casts a 20' Pony Express riders changed horses every 15 miles. shadow, immediately behind him is a mastodon This equals how many kilometers? casting a 70' shadow. The mastodon is ---- feet tall. A. 18 A. 16.25 B. 24 B. 17.25 C. 29 C. 18.25 D. 35 D. 19.25 E. 41 E. 20.25

4. Calendar Math 9. Rentals What day of the week will it be in 312 hours if it is Office space rents for $485 per month for 400 square now noon on Thursday? feet. What is the monthly rent for 320 square feet? A. Tuesday A. $362 B. Wednesday B. $388 C. Thursday C. $400 D. Friday D. $424 E. Saturday E. $436

5. Fraction Conversion 10. Roman Mathematics Which percentage is not paired with a fraction? How many captives did Julius Caesar have in each A. 3% equals 3/10 group when he divided his MDLVIII captives evenly B. 75% equals 3/4 into two groups? C. 40% equals 2/5 A. MCXC D. 66 2/3% equals 2/3 B. DLCXIV E. 12 1/2% equals 1/8 C. CDLXVII D. DCCLXXIX E. CMXXXVIII Math Round 4 Page 2 11. Roman Numerals 16. Quadrilateral Areas Multiply CLIX by VI. The base of a regular quadrilateral is 20 inches and its A. XLXIV perimeter is 110 inches. Its area is ---- square inches. B. CMLIV A. 250 C. CCCIX B. 400 D. MCVIII C. 550 E. MCCVII D. 700 E. 850

12. Metric Time 17. Metric Measures How many nanoseconds are in one kilosecond? Which is just less than three kilometers long? A. 1,000 A. Grand Canyon B. 1,000,000 B. Space Shuttle C. 1,000,000,000 C. U.S.S. Enterprise D. 1,000,000,000,000 D. Golden Gate Bridge E. 1,000,000,000,000,000 E. Empire State Building

13. Non-Primes 18. Mathematical Sequence The sum of the composite numbers between 5 and 13 What is the seventh term in this sequence? is ... 2 3 5 9 17 ... A. 19 A. 33 B. 27 B. 41 C. 36 C. 59 D. 45 D. 65 E. 52 E. 77

14. Percentage 19. Grids 220 percent of 300 is ... Aukville is laid out on a grid with 31 avenues running A. .66 north to south and 23 streets running east to west. If B. 6.6 there is one traffic light at each intersection, how C. 66 many traffic lights are there? D. 660 A. 635 E. 6600 B. 661 C. 687 D. 713 E. 768

15. Polynomials 20. Fraction Action Simplify this algebraic expression. Which is not equivalent to 4/14? -5x - 7y - 10z - (10x + 2y - 5z) A. 6/21 A. -5x - 5y - 15z B. 8/36 B. -15x + 9y + 15z C. 14/49 C. 5x - 5y - 5z D. 42/147 D. -15x - 9y - 5z E. 50/175 E. 15x - 9y - 15z Math Round 4 Page 3 21. Map Math 26. Sequences On a map, Oslo is 4 inches from Madrid. If the map What number is in both sequences? scale reads 1 3/8 inches equals 500 miles, how many 28, 23, 18, 13, ... miles are between the two cities? 1/4, 1/2, 1, 2, ... A. 1054 A. 4 B. 1154 B. 5 C. 1254 C. 6 D. 1354 D. 7 E. 1454 E. 8

22. Precision 27. Algebraic Expressions Which is the least precise, least specific measurement x/6 could not mean ... unit? A. x divided by 6 A. rod B. one-sixth of x B. drop C. the ratio of x to 6 C. grain D. the product of 6 and x D. carat E. the quotient of x and 6 E. micron

23. Time 28. Some Sums Leap years are evenly divisible by what number? 157 is the sum of squares of which numbers? A. 3 A. 8, 3 B. 4 B. 9, 4 C. 5 C. 10, 5 D. 6 D. 11, 6 E. 7 E. 12, 7

24. Math Operations 29. Liquid Measurement From the sum of (1/8 of 200) and (.70 of 300) Add 3 gallons 1 quart and 1 pint to the sum of 2 subtract (3/8 of 100). gallons 3 quarts plus 6 quarts 1 pint. A. 184.5 A. 8 gallons B. 197.5 B. 9 gallons 1 pint C. 272.5 C. 7 gallons 3 quarts D. 294.5 D. 6 gallons 2 quarts 1 pint E. 304.5 E. 5 gallons 3 quarts 1 pint

25. Installment Purchases 30. Numeration Systems You can buy a boat for $6800 cash or pay $1000 The binary numeral 1001 represents the number of ... down and $270 per month for 24 months. How much A. lines in a limerick will you save by paying cash? B. signs of the zodiac A. $350 C. lives a cat is said to have B. $460 D. players on a basketball team C. $570 E. dwarfs that Snow White lived with D. $680 E. $790 Math Round 4 Page 4 31. Roman Numeration What happened in the year MCMXLI? A. Pearl Harbor attack B. first manned lunar landing C. discovery of the New World D. completion of transcontinental railway E. signing of the Declaration of Independence

32. Number Comparisons Which is largest? A. eight divided by eight B. six to the zero power C. two to the first power D. seven plus negative seven E. the product of nine and zero

33. Quadrilaterals Two consecutive angles in a parallelogram measure x degrees and x plus 30 degrees. How many degrees are in the larger angle? A. 95 B. 105 C. 115 D. 125 E. 135

34. Linear Word Problems 8 is the result when 7 times what number is subtracted from 11 times that same number? A. 2 B. 3 C. 4 D. 5 E. 6

35. Marble Dispensation Don gave Ted half of his marbles. Ted gave Jim half of the marbles he got from Don. Jim kept 8 of those and gave the remaining 10 to Lennie. How many marbles did Don give Ted? A. 24 B. 30 C. 36 D. 42 E. 48 Math Round 4 - Answers 1. A 2. D 3. D 4. B 5. A 6. E 7. C 8. B 9. B 10. D 11. B 12. D 13. D 14. D 15. D 16. D 17. D 18. D 19. D 20. B 21. E 22. B 23. B 24. B 25. D 26. E 27. D 28. D 29. C 30. C 31. A 32. C 33. B 34. A 35. C Math Round 5 Page 1 1. Fishy Ratios 6. Diagonals A trawler's hold contains 420 fish. The ratio of the How many diagonals can be drawn from one vertex of number of tuna to the number of swordfish is 4 to 3. an octagon? How many tuna are there? A. 4 A. 120 B. 5 B. 160 C. 6 C. 180 D. 7 D. 220 E. 8 E. 240

2. Internet Math 7. Perimeters In January of 1996, 202 of the 435 House of The semiperimeter of a regular dodecagon with sides Representatives members had email addresses. What of 6 meters is how many meters? percentage of the House lacked such addresses? A. 12 A. 36 B. 18 B. 41 C. 24 C. 54 D. 36 D. 62 E. 40 E. 73

3. Blueprint Proportions 8. Algebra The width of a house is to be 100 feet. The scale on a What is t if 16 = 2(t+3)? blueprint is 1/4 inch to 1 foot. A line of the blueprint A. 2 representing the width of the house is ... B. 3 A. 2' 1" C. 4 B. 1' 4" D. 5 C. 2' 6" E. 6 D. 1' 8" E. 2' 10"

4. Longitude 9. Vehicle Statistics If the noon meridian sweeps over 360 degrees of On Groundhog Day, 220 cars passed through Big longitude daily, it travels how many degrees every Toe, Montana carrying 836 people. What was the thirty minutes? average number of people per vehicle? A. 5.5 A. 3.0 B. 7.5 B. 3.2 C. 10 C. 3.4 D. 12.5 D. 3.6 E. 15 E. 3.8

5. Camel Calculations 10. Coal Costs At Khalil's Used Camel Lot, a low mileage dromedary Morley bought x tons of coal at y dollars per ton. He that listed at $12,000 was on sale for $10,920, a price gave the mine operator a $1000 bill. How much reduction of ---- percent. change should he receive? A. 7 A. xy/1000 B. 9 B. xy - 1000 C. 11 C. 1000 - xy D. 13 D. x + y - 1000 E. 15 E. 1000 - (x+y) Math Round 5 Page 2 11. Such a Deal! 16. Laps Barry bought a crate of rubber chickens that normally One lap around the Spearfish High School track is sells for $92 for $78.20. This sale price was what 440 yards. How many times would you have to run percent off the retail price? around this track to cover 3 miles? A. 15% A. 4 B. 17% B. 6 C. 19% C. 8 D. 21% D. 10 E. 23% E. 12

12. Rounding 17. Arcs Which value has not been correctly rounded to the What is the major arc of a circle if the measure of the nearest dollar? minor arc is 41 degrees? A. $9.85 - $10.00 A. 289 B. $14.53 - $14.00 B. 299 C. $18.26 - $18.00 C. 309 D. $72.90 - $73.00 D. 319 E. $162.41 - $162.00 E. 329

13. Velocity Problems 18. Solids Mr. Yarborough drove at 200 mph for 2 hours, at 160 Every cross section of a ... mph for the next 2 hours, and at 180 mph for the A. cube is a square final 1 hour. His average speed for the entire race was B. sphere is a circle ---- mph. C. octahedron is a triangle A. 160 D. tetrahedron is a rectangle B. 170 E. dodecahedron is a pentagon C. 180 D. 190 E. 200

14. Chapeau Ratio 19. Feline Frolicking There are 500 hats on Bartholomew's head. 25 are A lion loping along at 5 feet per second will cover 5 derbies and the rest are sombreros. What is the ratio miles in how many minutes? of derbies to sombreros? A. 55 A. 1 to 18 B. 66 B. 1 to 19 C. 77 C. 1 to 20 D. 88 D. 1 to 21 E. 99 E. 1 to 22

15. Mathematical Properties 20. Work Problems What property makes this statement true? Wilbur can build a bike in 6 hours but Orville can do 4(x+y) = 4x + 4y the same job in 4 hours. How many minutes would it A. reflexive take them to build a bike together? B. transitive A. 122 C. associative B. 133 D. distributive C. 144 E. commutative D. 155 E. 166 Math Round 5 Page 3 21. Investment 26. Algebraic Evaluation How much must you invest at the beginning of a year Given that a = 7, b = 4, and y = 8, evaluate this at 6% simple interest to have $6000 total at the end of expression. the year? 7by - 2ay A. $5220 A. 112 B. $5330 B. 124 C. $5440 C. 136 D. $5550 D. 148 E. $5660 E. 152

22. Eagles Percentages 27. Plane Figure Partitions The number of eagles feeding on salmon in a stretch The diagonals from a single vertex in an octagon of river increased from 50 to 60. This is what form how many triangles? percentage of increase? A. 3 A. 16 B. 4 B. 18 C. 5 C. 20 D. 6 D. 22 E. 7 E. 25

23. Sets 28. Find the Number If set G has 19 members, set H has 11 members, and What one-digit number can you multiply by 3, add 8 set G contains 5 of the same members as set H, how to the product, divide the sum by 2, subtract 6 from many members are in the union of sets G and H? the quotient, and end up with the original number? A. 19 A. 1 B. 21 B. 2 C. 23 C. 3 D. 25 D. 4 E. 27 E. 5

24. Air Travel 29. Trinket Trading An airplane that flies 400 mph in calm air has a tail Bonnie gave Beulah half of her baubles. Beulah gave wind of 120 mph. It will travel 2000 miles in about Barb half the baubles she got from Bonnie. Barb kept ---- hours. 8 of those baubles and gave the remaining 10 to her A. 2.6 brother, Bruce. How many baubles did Bonnie have B. 3.0 in the first place? C. 3.4 A. 56 D. 3.8 B. 68 E. 4.2 C. 72 D. 86 E. 94 25. Distance Problems 30. Fishy Finance Something traveling 2000 feet per second goes about Fred went fishing in Alaska. He spent $340 for a how many miles in 11 seconds? plane ticket, $220 for lodging and meals, $180 for a A. 1 boat rental, and $60 for bait. He caught 5 flounders. B. 2 His cost per fish was ... C. 3 A. $140 D. 4 B. $160 E. 5 C. $180 D. $200 E. $220 Math Round 5 Page 4 31. Fractions A governor spent 1/3 of each day sleeping, 1/12 covering up skeletons in his closet, 1/6 arranging junkets and 1/4 at banquets,. How many hours were left daily for campaigning? A. 2 B. 3 C. 4 D. 5 E. 6

32. Measurement Conversions It is meaningless to convert ... A. hectares to acres B. kilograms to gallons C. centiliters to fluid ounces D. kilometers to statute miles E. cubic centimeters to quarts

33. Fractions Given that y is greater than 1,000, which fraction has the smallest value? A. 5/y B. y/5 C. 5/(y-1) D. 5/(y+1) E. (y+1)/5

34. Prevention Proverbs Since an ounce of prevention is worth a pound of cure, how many pounds of prevention are worth 128 pounds of cure? A. 4 B. 6 C. 8 D. 10 E. 12

35. Measurement in Physics Which represents a measure of volume? A. lb B. ft C. cc D. dm E. m/sec Math Round 5 - Answers 1. E 2. C 3. A 4. B 5. B 6. B 7. D 8. D 9. E 10. C 11. A 12. B 13. C 14. B 15. D 16. E 17. D 18. B 19. D 20. C 21. E 22. C 23. D 24. D 25. D 26. A 27. D 28. D 29. C 30. B 31. C 32. B 33. D 34. C 35. C Math Round 6 Page 1 1. Fractional Expressions 6. Ancient Currencies If p equals 4, this expression equals what improper In ancient Egypt, there were 60 grains in 1 shekel, 60 fraction? shekels in 1 great mina, and 60 great minas in 1 talent. 1/(1/p + 1/2) How many grains were in 3 talents? A. 3/2 A. 32,400 B. 4/3 B. 97,200 C. 5/4 C. 291,600 D. 6/5 D. 648,000 E. 7/6 E. 1,080,000

2. Population Reductions 7. Mathematical Statements There were 372 deer in Bigdog County in early 1996 Which sentence is true? and 238 in late 2000. The rate of change per year in A. .5 < 1/3 this population is ... B. 3/5 < .85 A. -24.2 C. 7/8 < 3/4 B. -26.8 D. 128 > (12 x 12) C. -28.4 E. 72 > 10 squared D. -30.6 E. -32.0

3. Seesaws 8. Army-Navy Time If two first-grade dropouts weighing 180 and 200 Which typically occurs at 1700 hours? pounds balance on a seesaw, how many feet from the A. teachers are asleep fulcrum must the heavier one sit if the lighter one is B. laborers get off work five feet from the fulcrum? C. bakers make doughnuts A. 2.5 D. students have breakfast B. 3.0 E. viewers watch the "Tonight Show" C. 3.5 D. 4.0 E. 4.5

4. Number Problems 9. Figuring the Fares If the sum of two numbers is 41 and the larger is one A bus ride to Dallas from the airport costs a total of less than twice the smaller, the larger number is ... $14 for 2 parents and 3 children who go for half the A. 21 adult price. The adult fare is ... B. 23 A. $2.50 C. 25 B. $3.00 D. 27 C. $3.50 E. 29 D. $4.00 E. $4.50

5. Mathematical Statements 10. Lofty Leapers Which is true? Larry can leap higher than Lanny. Len can leap A. -3 < -4 higher than Leland. Lucy can leap higher than Larry. B. .3 < 1/3 Lanny can leap higher than Len. Who can leap C. 7/10 < 20/30 highest? D. 122 < 11 squared A. Len E. 1/4 squared < 1/16 B. Lucy C. Larry D. Lanny E. Leland Math Round 6 Page 2 11. Composite Numbers 16. Lots o' Ice Which is not a composite number? The Antarctic Ice Sheet covers some 5 million square A. 12 miles, making it about how many times larger than the B. 13 Greenland Ice Sheet with its area of 670,000 square C. 14 miles? D. 15 A. 3 E. 16 B. 5 C. 7 D. 9 E. 11

12. Purchasing Perplexities 17. Pie Graphs At Henrietta's Haberdashery, you can have a A pie graph shows that twenty-five percent of half-dozen hopelessly hokey Halloween hats for veeblefetzers have single clags. This part of the graph $4.80. How many could you get for $24? is indicated by an angle of ---- degrees. A. 30 A. 20 B. 32 B. 45 C. 34 C. 70 D. 36 D. 90 E. 38 E. 180

13. Number Relationships 18. Planting Plots If pq equals 1, then q is the ---- of p. Goneril's garden is 20' by 30' while Glenda's is 30' by A. square 30'. The perimeter of Goneril's garden is how many B. reciprocal feet less than Glenda's? C. square root A. 10 D. absolute value B. 20 E. additive inverse C. 30 D. 40 E. 50

14. Sequences 19. Metric Measurement In a row of boxes, if there are 8 beans in the first, 25 Tides in the Bay of Fundy in Nova Scotia may rise in the second, 42 in the third, and 59 in the fourth, and fall 17 meters in a single day, a distance of about how many are in the sixth box? ---- feet. A. 91 A. 22 B. 93 B. 34 C. 95 C. 48 D. 97 D. 56 E. 99 E. 64

15. Measurement Units 20. Mineral Math Which abbreviation does not stand for a unit of A silver compound contains 60% silver by weight. volume? How many grams of silver are in a 2.6 gram sample of A. ml the compound? B. qt A. 1.34 C. kW B. 1.23 D. bbl C. 1.45 E. tsp D. 1.56 E. 1.67 Math Round 6 Page 3 21. Sums 26. Number Conversions How many items are in eleven gross, eleven dozen, Which fraction is incorrectly expressed as a and eleven? percentage? A. 1651 A. 3/5 = 60% B. 1686 B. 7/10 = 70% C. 1711 C. 2/200 = 1% D. 1727 D. 10/40 = 25% E. 1745 E. 12/36 = 30%

22. Fishing Computation 27. A Hunting We Will Go Beulah caught 1/2 as many fish as Ivanna and Ivanna Bill is going to Carlsbad to hunt quail. He will leave at caught 1/2 as many fish as Karlotta. Beulah caught 3 a.m. and drive at 55 miles per hour for 495 miles. how many of the 112 total fish? He will arrive at Carlsbad at ... A. 8 A. 10 a.m. B. 16 B. 11 a.m. C. 24 C. 12 p.m. D. 32 D. 1 p.m. E. 40 E. 2 p.m.

23. Denominators 28. Big Numbers What common denominator should be used when you How many zeroes are in the number expressing the add these fractions? sum of one hundred plus one billion plus eleven? 17/26 plus 12/39 A. 6 A. 50 B. 7 B. 64 C. 8 C. 78 D. 9 D. 86 E. 10 E. 92

24. Probability 29. Proportions Sixteen sandpipers, ten turkeys, fourteen flamingoes, At the same time that a tree 20 feet high casts a and twelve toucans are in a cage. If the door should shadow 25 feet long, a nearby plastic statue of Paul fall open, what are the chances that the first bird out Bunyan casts a 50-foot shadow. The statue is ---- feet will be a toucan? tall. A. 1 in 12 A. 35 B. 2 in 11 B. 40 C. 3 in 13 C. 45 D. 5 in 14 D. 50 E. 4 in 15 E. 55

25. Ratios 30. Hexahedra Farmer Al has pheasants, chukars, and quail on his There are 504 cubic units of volume in a box bird farm in the ratio of 2 to 6 to 8. Of his 128 birds, measuring ... how many are chukars? A. 4 x 5 x 6 A. 42 B. 5 x 6 x 7 B. 44 C. 6 x 7 x 8 C. 46 D. 7 x 8 x 9 D. 48 E. 8 x 9 x 10 E. 50 Math Round 6 Page 4 31. Binary Math Which does not go with that with which it is paired? A. 111 - dwarfs of Snow White B. 101 - players on a basketball team C. 1100 - doughnuts in a baker's dozen D. 11010 - letters in the English alphabet E. 1000 - the number on a black ball in pool

32. Picture Power Since a picture is worth a thousand words, how many pictures do you need to express one billion forty thousand words? A. 1,004 B. 14,000 C. 100,400 D. 1,000,040 E. 10,400,000

33. Biological Mathematics To the number of sides on a cell of a honeycomb add the number of legs on one scorpion to the number of teeth of an adult human. A. 28 B. 30 C. 46 D. 54 E. 62

34. Congruence Which are congruent? A. a bowling ball and a tennis ball B. a 747 and a scale model of a 747 C. a planet and one of its satellites D. an Elvis CD and a Dolly Parton CD E. a flower and a photograph of the flower

35. Sets All deceased Asian arthropods comprise which kind of set? A. null B. finite C. empty D. disjoint E. equivalent Math Round 6 - Answers 1. B 2. B 3. E 4. D 5. B 6. D 7. B 8. B 9. D 10. B 11. B 12. A 13. B 14. B 15. C 16. C 17. D 18. B 19. D 20. D 21. D 22. B 23. C 24. C 25. D 26. E 27. C 28. A 29. B 30. D 31. C 32. D 33. C 34. D 35. B Math Round 7 Page 1 1. Perimeters 6. Speed Conversions The length of the perimeter of a square five If you travel 3.6 miles in 18 minutes, what is your centimeters on a side is the same as the perimeter of a speed in miles per hour? rectangle with sides of ---- centimeters. A. 10 A. 5 and 4 B. 12 B. 6 and 3 C. 14 C. 7 and 5 D. 16 D. 8 and 2 E. 18 E. 9 and 6

2. Numbers 7. Fractions Which number is not a perfect square? What is the value of (1/x + 1/y) divided by (1/xy) when A. 25 x=2 and y=3? B. 49 A. 2 C. 81 B. 3 D. 102 C. 4 E. 121 D. 5 E. 6

3. Consecutive Integers 8. Algebraic Expressions What is the largest of three consecutive even integers The Bonano family saves n dollars per year. The whose sum is 216? number of dollars saved in five months is ... A. 70 A. 5n B. 72 B. n/5 C. 74 C. 5n/12 D. 76 D. 12n/5 E. 78 E. 12/5n

4. Fractions 9. Quadrilateral Areas What is the sum of just the improper fractions? The area of a square 10 inches on a side is how many 3/5 9/4 2/7 3/2 1/3 10/5 times greater than that of a 4 by 5 inch rectangle? A. 3 1/8 A. 2 B. 4 1/4 B. 3 C. 5 3/4 C. 4 D. 6 5/8 D. 5 E. 7 1/2 E. 6

5. Mucho Meteorites 10. Map Proportions If astronomers' estimates are correct that one million A map has a scale in which 1 inch represents 50 miles. meteors enter Earth's atmosphere every hour, how 450 miles are represented by how many inches? many enter every three minutes? A. 4 1/2 A. 10,000 B. 6 B. 30,000 C. 7 1/2 C. 50,000 D. 9 D. 70,000 E. 10 1/2 E. 90,000 Math Round 7 Page 2 11. Trapezoids 16. Roman Division Which formula computes the area of a trapezoid? Divide CML by XXV. A. A = bh A. XL B. A = ((a+b)h)/2 B. DIV C. A = s squared C. VII D. A = 2lw + 2lh + 2wh D. LXIX E. A = (radius squared) E. XXXVIII

12. Triangles 17. Weed Control How many square units are in a triangle measuring 12 Farmer Ron is spraying herbicide on a field 600 yards by 16 by 20 units? wide and 1100 yards long. What are the fewest passes A. (12)(20)(8) he makes if his sprayer covers a 40-foot strip? B. 1/2 (12)(16) A. 45 C. 1/2 (12)(20) B. 50 D. 1/2 (16)(20) C. 55 E. 12 + 16 + 20 D. 60 E. 65

13. LCMs 18. Geometric Formulas Find the least common multiple of 81 and 54. Which formula can be used to calculate volume? A. 27 A. square of one side B. 36 B. pi times the radius squared C. 135 C. 1/2 the base times the height D. 162 D. 2 times length + 2 times width E. 189 E. length times width times height

14. Lines 19. Metric Measures An oblique line is ... In one-fourth square meter there are twenty-five A. thick square ... B. curved A. millimeters C. slanting B. decimeters D. parallel to another line C. nanometers E. perpendicular to another line D. centimeters E. micrometers

15. As Time Goes By 20. Measurement Conversions How many hours occur between 9 p.m. on Tuesday You can multiply millimeters by 0.04 to find a close and 11 p.m on the following Monday? approximation of ... A. 132 A. rods B. 146 B. feet C. 154 C. yards D. 160 D. inches E. 178 E. meters Math Round 7 Page 3 21. Rounding 26. Algebraic Applications The square of which number on the left was not If the sum of four times a number and negative seven correctly rounded to the 10s place on the right? is increased by eight, the result is sixteen greater than A. 11 - 120 the original number. Find the first number. B. 12 - 140 A. 5 C. 13 - 160 B. 7 D. 14 - 200 C. 9 E. 15 - 230 D. 11 E. 13

22. Decimals 27. Time Translation Express the quotient of 2 2/5 divided by 6 as a There are 2100 seconds in how many minutes? decimal number. A. 20 A. .2 B. 25 B. .3 C. 30 C. .4 D. 35 D. .5 E. 40 E. .6

23. Sets 28. Electric Charges Which number is in the intersection of whole numbers You have a 150-watt light on for 1 hour every day for from 11 to 52 evenly divisible by 3 and whole a year. At 9 cents per kilowatt-hour, what does the numbers between 1 and 100 evenly divisible by 4? power to run this light cost? A. 28 A. $2.57 B. 30 B. $3.86 C. 32 C. $4.93 D. 34 D. $5.51 E. 36 E. $6.13

24. Factoring 29. Town Statistics If x is a prime number greater than 5, factors of 10x In a picturesque New England town with a population do not include ... of 22,000, there are 440 real estate agents. What is the A. 2x number of agents per capita? B. 5x A. .02 C. x squared B. .04 D. x to the first power C. .06 E. the square root of 25 D. .08 E. .10

25. Ratios 30. Fishy Ratios What is the simplest ratio form for these Ned hooked 80 fish but only netted 16 of them. The measurements? ratio of the fish hooked to the fish lost is ... 5 minutes to 40 seconds A. 4 to 3 A. 7 to 1 B. 5 to 4 B. 9 to 4 C. 6 to 5 C. 13 to 3 D. 7 to 6 D. 15 to 2 E. 8 to 7 E. 30 to 5 Math Round 7 Page 4 31. Roman Numerals Subtract CLXXIV from M. A. LVI B. DXXVI C. CCCVI D. CDXXXVI E. DCCCXXVI

32. Emu Cookery Emu roasting takes 20 minutes per pound at 350 degrees. To serve it at 7 PM Saturday, you start cooking a 120-pound bird at ---- AM Friday. A. 1 B. 3 C. 5 D. 7 E. 9

33. Numbers Which is an ordinal number? A. 8250 B. 41st C. 14/7 D. .66666 ... E. 30 degrees Celsius

34. Geometric Formulas Which could not be the formula for a perimeter? A. s(4) B. 2L + 2W C. a + b + c D. s squared E. pi times the diameter

35. Sets The set of all numbers that are multiples of nine is the same type as the set of all ... A. points on a line B. pentagons with six sides C. living insects in the Amazon D. prime numbers less than five billion E. consonants in the English language Math Round 7 - Answers 1. D 2. D 3. C 4. C 5. C 6. B 7. D 8. C 9. D 10. D 11. B 12. B 13. D 14. C 15. B 16. E 17. A 18. E 19. B 20. D 21. C 22. C 23. E 24. C 25. D 26. A 27. D 28. C 29. A 30. B 31. E 32. B 33. B 34. D 35. A Math Round 8 Page 1 1. Number Problems 6. Bad Songs Six consecutive numbers are given. The sum of the Catfish Bob writes 7 bad country and western songs first three is 36. What is the sum of the last three? every 10 days. The number of bad songs he writes in A. 42 any given September is ... B. 45 A. 15 C. 48 B. 17 D. 51 C. 21 E. 54 D. 23 E. 25

2. Multiples 7. Liquid Measurement Between 1 and 1000, there are how many multiples of Three quarts of lime-flavored capybara oil sell for 15? $9.00. What is the cost per pint of this oil? A. 22 A. $1.00 B. 33 B. $1.25 C. 44 C. $1.50 D. 55 D. $1.75 E. 66 E. $2.00

3. Linear Equations 8. Statistics If -2(Q+9) = 40, what is the value of -4Q? About 8% of men are colorblind, or about one in ... A. 29 A. 8 B. 44 B. 10 C. 58 C. 12 D. 92 D. 14 E. 116 E. 16

4. Monster Math 9. Lightning The head of a griffin makes up one fourth of its Lightning strikes 1.5 kilometers from you. If that weight. One-eighth of its weight is accounted for by sound travels at 343 meters per second, you will hear its wings. The rest weighs 400 pounds. The total the thunder in ---- seconds. weight of the beast is ---- pounds. A. 2.13 A. 480 B. 3.43 B. 560 C. 4.37 C. 640 D. 5.19 D. 720 E. 6.32 E. 800

5. Mathematical Analogies 10. Continued Ratios Square is to cube as circle is to ... Which expression of this continued ratio is in lowest A. cone terms? B. sphere 2 tons to 400 pounds to 80 ounces C. radius A. 200 to 20 to 1 D. diameter B. 400 to 40 to 1 E. circumference C. 600 to 60 to 1 D. 800 to 80 to 1 E. 500 to 50 to 1 Math Round 8 Page 2 11. Old Guys 16. Fractions If Ron is older than George, Bill is older than Al, Jesse Which fraction is not equivalent to the others? is older than Ron, and George is older than Bill, who is A. 4/6 oldest? B. 8/12 A. Al C. 12/18 B. Ron D. 18/24 C. Bill E. 20/30 D. Jesse E. George

12. Scientific Notation 17. Perimeter Problems 6.2 times 10 to the fourth power equals what decimal Your rectangular lot includes 12,600 square feet. One numeral? side is 90 feet. The lot's perimeter is ---- feet. A. 62 A. 420 B. 620 B. 440 C. 6,200 C. 460 D. 62,000 D. 480 E. 620,000 E. 500

13. Numbers 18. Geometric Journeys What is the digital root of 54,825? You go 10 miles N, 10 miles W, 8 miles N, 20 miles E, A. 3 18 miles S, and W to your starting point. The area of B. 4 the enclosed figure is ---- square miles. C. 5 A. 180 D. 6 B. 220 E. 7 C. 260 D. 300 E. 340

14. Cube Calculation 19. Prime Numbers If the volume of a cube is 343 cubic inches, the length How many primes are between 20 and 40? of any of its edges is ---- inches. A. 2 A. 5 B. 3 B. 6 C. 4 C. 7 D. 5 D. 8 E. 6 E. 9

15. Linear Equations 20. Consecutive Integers Solve this equation for z. Determine three consecutive odd integers whose sum 2z - 6 = 7z + 14 is half of 186. A. -1 A. 23, 25, 31 B. -2 B. 25, 27, 29 C. -3 C. 27, 29, 31 D. -4 D. 29, 31, 33 E. -5 E. 31, 33, 35 Math Round 8 Page 3 21. Square Root 26. Rounding What is x if the square root of (x-6) equals 8? Which numeral on the left has been incorrectly A. 42 rounded to the numeral on the right? B. 55 A. 96.621 - 97 C. 62 B. 46.289 - 47 D. 70 C. 419.906 - 420 E. 87 D. 634.181 - 634.2 E. 228.346 - 228.35

22. Ore Calculations 27. Painting Problems If 0.3% of the ore extracted from the Ampheta Mine Painter Paul can paint a barn in 12 hours while painter is platinum, how many ounces of platinum are there Penelope can do it in 8 hours. Working together, they per ton of ore? can complete the job in just under how many hours? A. 88 A. 5 B. 90 B. 6 C. 92 C. 7 D. 94 D. 8 E. 96 E. 9

23. Currency Exchange 28. Percentage If 1 shekel equals .2 euros and 1 euro equals 130 yen, 120 is what percent of 300? then 15 shekels equals how many yen? A. 28 A. 240 B. 32 B. 390 C. 40 C. 460 D. 46 D. 520 E. 54 E. 600

24. Setting Up a Meet 29. Fowl Ratios Sixteen players enter a single-elimination racquetball How many pheasants are in a pen of 400 birds tournament. To determine a winner, the total number containing only pheasants, chukkars, and quail in the of games played is ... ratio of 5 to 3 to 2? A. 11 A. 160 B. 13 B. 180 C. 15 C. 200 D. 17 D. 220 E. 19 E. 240

25. Exponents 30. Sunscreen It is not true that the ... If you normally start to sunburn after about 20 A. cube of 2 equals 8 minutes in the sun, an SPF 2 sunscreen will protect B. cube of 3 equals 9 you for about 40 minutes. An SPF 18 sunscreen will C. cube of 4 equals 64 protect you for about ---- hours. D. square of 12 equals 144 A. 2 E. square of 29 equals 841 B. 4 C. 6 D. 8 E. 10 Math Round 8 Page 4 31. Seesaw Math Big Bertha who weighs 280 pounds is on a teeter-totter 6 feet from the fulcrum while Little Lulu is balancing her by sitting 20 feet from the fulcrum. She weighs ---- pounds. A. 76 B. 78 C. 80 D. 82 E. 84

32. Grade Averages What grade must Igor receive on his fourth test to raise his average to 80 if his scores on his first three tests were as follows? 69 81 74 A. 84 B. 88 C. 92 D. 96 E. 98

33. Sets Which is the best-defined set? A. female judges in the U.S. B. neurotics in San Francisco C. odoriferous men in Missoula D. qualified candidates for president E. reliable cars manufactured by Ford

34. Piles of Money A dollar bill is 4/1000 of an inch thick. If you were to stack 1 billion dollar bills on top of one another, the pile would be about ---- miles. A. 23 B. 33 C. 43 D. 53 E. 63

35. Percentage Which statement is untrue? A. 5% of 80 = 4 B. 20% of 25 = 5 C. 80% of 20 = 16 D. 30% of 300 = 90 E. 40% of 600 = 200 Math Round 8 - Answers 1. B 2. E 3. E 4. C 5. B 6. C 7. C 8. C 9. C 10. D 11. D 12. D 13. D 14. C 15. D 16. D 17. C 18. C 19. C 20. D 21. D 22. E 23. B 24. C 25. B 26. B 27. A 28. C 29. C 30. C 31. E 32. D 33. A 34. E 35. E Math Round 9 Page 1 1. Triangle Angles 6. Christmas Songs If the largest angle in a triangle is 75 degrees and the In the "12 Days of Christmas," if you subtract the smallest angle is 3/5 that size, the remaining angle is number of turtle doves from the number of drummers ---- degrees. drumming, you get the number of ... A. 60 A. calling birds B. 70 B. pipers piping C. 80 C. lords a-leaping D. 90 D. maids a-milking E. 100 E. swans a-swimming

2. Metric Paper 7. Sets Which has a standard page size of 38 by 58 An infinite set is illustrated by the set of ... centimeters? A. facets in an eye of a fly A. almanacs B. Asians who are adolescents B. wallpaper C. millimeters in a million miles C. newspapers D. atoms in ten tons of tungsten D. movie tickets E. fractions smaller than one fifth E. paperback novels

3. Coin Ratios 8. Office Area Express this ratio in lowest terms. Bruce Wayne has a 10' by 15' dressing room in his 5 quarters to 15 nickels 2000 square foot underground office. What A. 2 to 3 percentage of the area of the office is taken up by the B. 4 to 3 dressing room? C. 5 to 3 A. 5.5 D. 7 to 3 B. 7.5 E. 8 to 3 C. 9.5 D. 11.5 E. 13.5

4. Driving 9. Divisibility Gus burned 18.5 gallons of gas during the time that If you rearrange the digits in any whole number with his odometer changed from 35,225 to 35,484. What at least 2 digits, the difference between the original was his mpg? number and the new number will always be divisible A. 13 by ... B. 14 A. 2 C. 15 B. 4 D. 16 C. 5 E. 17 D. 7 E. 9

5. Reciprocals 10. Decimal Operations Which decimal is closest in value to the reciprocal of The conversion of which fraction into a decimal does 7? not result in a ? A. .0142 A. 5/6 B. .1429 B. 1/9 C. .0125 C. 2/3 D. .1667 D. 3/5 E. .1111 E. 2/11 Math Round 9 Page 2 11. Magic Squares 16. Cheap Land What is the first line of a magic square if line 2 is 5, At about 3 cents per acre, the U.S. paid $15 million to 10, 11, 8, line 3 is 9, 6, 7, 12, and line 4 is 4, 15, 14, 1? France for approximately how many acres in the A. 12, 2, 5, 15 Louisiana Purchase? B. 16, 3, 2, 13 A. 500,000 C. 9, 13, 8, 11 B. 5,000,000 D. 10, 4, 6, 17 C. 50,000,000 E. 8, 11, 7, 12 D. 500,000,000 E. 5,000,000,000

12. Variables 17. Algebraic Expressions When q is divided by 2/5, it changes from 80 to 200 Evaluate this expression given or from ---- to 40. that w = 3, x = 2, y = 1, and z = 5. A. 8 w(yz - xy) B. 10 A. 3 C. 12 B. 6 D. 14 C. 9 E. 16 D. 12 E. 15

13. Yes We Have No Bananas 18. Algebraic Expressions A door-to-door banana salesman sells B bananas at C In 24 hours, Zeke spends 1/2 of the time sleeping and cents each day. He takes in D dollars during P days. 1/4 of the time slopping the pigs. How much of the D equals ... day does Zeke spend doing other stuff? A. 100B/CP A. 1/2 / 1/4 B. BCP/100 B. 1/4 / 1/2 C. 100/BCP C. 1/2 + 1/4 D. 100C/BP D. 1 + 1/2 + 1/4 E. BP/100C E. 1 - (1/2 + 1/4)

14. Rational Repetition 19. Algebraic Expressions Express the repeating decimal .222222 as a rational Nine subtracted from the quotient of what number number. divided by 6 equals 3? A. 2/3 A. 58 B. 2/7 B. 62 C. 2/9 C. 68 D. 2/11 D. 72 E. 2/13 E. 78

15. Areas 20. Products You connect the midpoints of a square to form a What is the largest possible product for two odd diamond. The area of half that diamond is what integers whose sum equals 52? fraction of the area of the square? A. 575 A. 1/2 B. 625 B. 1/4 C. 650 C. 1/8 D. 675 D. 1/16 E. 783 E. 1/32 Math Round 9 Page 3 21. Tests 26. Consumer Math Eighteen percent of the students who took the How many pounds of potatoes at five pounds for $3 apprentice ditch digging test failed the exam. Ninety could be purchased for the same price as one hooded students failed. How many passed? floral dress worn by Cher in 1969 that sold at auction A. 260 for $4,800? B. 305 A. 6,000 C. 410 B. 8,000 D. 640 C. 10,000 E. 816 D. 12,000 E. 14,000

22. Gears 27. Triangles If the driver in a gear train has 18 teeth, and the The first side of a triangle is 3 centimeters less than follower has 8 teeth, for every 12 turns of the driver, the second and the third is 14 centimeters greater than the follower makes how many complete revolutions? the second. How long is the longest side if the A. 12 perimeter is 71 centimeters? B. 18 A. 30 C. 21 B. 32 D. 27 C. 34 E. 36 D. 36 E. 38

23. Trading Math 28. Stocks In Kapooie, a land with no money, 40 figs equal 8 boa Lynne bought a stock for $40 per share. She sold it skins, 16 boa skins equal 10 baubles, and 100 baubles six months later for $61 per share. By what percent equal 2 J-Lo posters. How many figs equal 1 J-Lo did its value increase? poster? A. 51.5 A. 300 B. 52 B. 400 C. 52.5 C. 500 D. 53 D. 600 E. 53.5 E. 700

24. Temperature Conversions 29. Gift Wrapping What is the Celsius equivalent of 50 degrees F? You need at least how many square feet of wrapping A. 10 paper to completely cover a box, all the edges of B. 12 which are four feet in length? C. 14 A. 90 D. 16 B. 92 E. 18 C. 94 D. 96 E. 98

25. History and Fractions 30. Proportions Express as an improper fraction with a denominator Which is not a valid proportion? of 2 the number of years cited in Lincoln's Gettysburg A. 3/5 = 9/15 Address. B. 4/7 = 16/28 A. 68/2 C. 5/9 = 30/54 B. 87/2 D. 6/11 = 36/66 C. 98/2 E. 7/13 = 42/91 D. 126/2 E. 174/2 Math Round 9 Page 4 31. Alien Averages Each of half-dozen Martians is 4 feet tall, two Venusians are each 8 feet tall and a Vogon is 14 feet tall. What is their average height? A. 4 1/2' B. 5' C. 5 1/2' D. 6' E. 6 1/2'

32. LCMs 132 is the least common multiple of 4, 6, and ... A. 7 B. 8 C. 9 D. 10 E. 11

33. Fractions What is the sum of just the improper fractions in this list? 19/45 9/4 6/15 12/6 3/5 A. 3.65 B. 3.85 C. 4.15 D. 4.25 E. 5.05

34. Perimeter Problems A rectangular lot includes 8800 square feet. If one side of the lot is 110 feet, its perimeter is ---- feet. A. 360 B. 380 C. 400 D. 420 E. 440

35. Island Economics On Kabonga, an island with no currency, 40 bananas equal 8 conch shells, 16 conch shells equal 10 fish, and 100 fish equal 1 Elvis record. How many bananas equal 1 Elvis record? A. 500 B. 600 C. 700 D. 800 E. 900 Math Round 9 - Answers 1. E 2. C 3. C 4. B 5. B 6. C 7. E 8. B 9. E 10. D 11. B 12. E 13. B 14. C 15. B 16. D 17. C 18. E 19. D 20. D 21. C 22. D 23. B 24. A 25. E 26. B 27. C 28. C 29. D 30. E 31. D 32. E 33. D 34. B 35. D Math Round 10 Page 1 1. Slab Spacing 6. Light Speed On an 89-foot-long slab, you place eight equally sized It takes light about ---- minutes to travel 45 million cubes one foot apart with one-foot margins on both miles. sides. The cubes measure how many feet on each A. 4 side? B. 6 A. 8 C. 8 B. 9 D. 10 C. 10 E. 12 D. 11 E. 12

2. Restaurant Math 7. Areas The tab at the Ulcer Gulch Cafe was $14.00 plus a The rectangle with the greatest area is the one that is 10% tip. You should get how much change from a ---- feet. $20 bill? A. 11 by 13 A. $4.40 B. 12 by 12 B. $4.60 C. 14 by 10 C. $4.80 D. 15 by 9 D. $5.00 E. 16 by 8 E. $5.20

3. Distance Problems 8. Proportions A motorcycle that travels 600 yards in 20 seconds A 5-eared Chernobyl rabbit casts a shadow 60 feet travels how many feet in 1/5th of a second? long at the same time a 2-foot high 3-tailed dog casts A. 16 a shadow of 5 feet. The rabbit is ---- feet tall. B. 18 A. 6 C. 20 B. 12 D. 22 C. 18 E. 24 D. 24 E. 32

4. Mesopotamian Measures 9. Multiplication Since each of their hours was 120 minutes long, how Which is not true? many hours were in a Babylonian week? A. -5 x 0 = -5 A. 40 B. -7 x -1 = 7 B. 52 C. 3 x -2 = -2 x 3 C. 68 D. (2 x -3) x -5 = 2 x (-3 x -5) D. 84 E. 2 + (-3 + 5) = (2 x -3) + (2 x 5) E. 92

5. Choo Choos 10. Massive Egg Consumption A one-half mile long coal train moving at thirty miles Luke ate one hundred eggs in five days. Each day he per hour takes how many minutes to go entirely consumed six more than the day before. How many through a tunnel five miles long? eggs did he down on day one? A. 6.5 A. 2 B. 8 B. 4 C. 9.5 C. 6 D. 11 D. 8 E. 12.5 E. 10 Math Round 10 Page 2 11. Puppy Percentages 16. Progressions 40% of the huskies finished the Iditarod Trail Sled Determine the value of x for which this sequence Dog Race and 24 did not. How many dogs started the forms an arithmetic progression. race? 27, x, 37 A. 40 A. 29 B. 50 B. 30 C. 60 C. 31 D. 70 D. 32 E. 80 E. 33

12. Angles 17. Time One of two complementary angles is five degrees less Multiply 4 hours 15 minutes and 20 seconds by 6. than four times the other. The larger angle is ---- A. 25 hours 32 minutes degrees. B. 26 hours 10 seconds A. 71 C. 25 hours 1 minute 15 seconds B. 73 D. 26 hours 2 minutes 20 seconds C. 75 E. 24 hours 6 minutes 30 seconds D. 77 E. 79

13. Population Prediction 18. Triangle Areas Today just 6 people live in Greenscum. But if the The triangle with the greatest area is the one with population doubles every 10 years, how many people which base and height? will live in Greenscum 70 years from now? A. 9 by 8 A. 96 B. 10 by 7 B. 192 C. 11 by 6 C. 184 D. 12 by 5 D. 768 E. 13 by 4 E. 1536

14. Paper Folding 19. Percentage If a single piece of paper was folded so there were Which statement is not true? sixteen layers, how many times was it folded in half? A. .5% of 60 = 3 A. 4 B. 40% of 40 = 16 B. 5 C. 20% of .30 = .06 C. 6 D. 1/5% of 40 = .08 D. 7 E. X% of Y = (XY)/100 E. 8

15. Reciprocals 20. Fishy Math 0.0250 is the reciprocal of ... Don got 40 pounds of fillets on his fishing trip. He A. 25 spent $80 for a license, $340 for the plane trip, $60 to B. 40 ship the fish home, and $120 for incidentals. The C. 58 fillets cost ---- per pound. D. 65 A. $15 E. 90 B. $20 C. $25 D. $30 E. $35 Math Round 10 Page 3 21. Polygon Perimeters 26. Spinning Shafts The base of an equilateral triangle is placed against The shaft of an electric motor running at 6,600 rpm is one side of a regular pentagon. If every side of these turning how many revolutions per second? figures is 4 inches, the perimeter of the combined A. 100 figure is ---- inches. B. 110 A. 24 C. 120 B. 28 D. 130 C. 32 E. 140 D. 36 E. 40

22. Snake Speed 27. Not So Speedy A sidewinder slithered 490 yards in 3.5 hours. What Mr. Tortoise runs 1/20 as fast as Mr. Rabbit and Mr. is its rate of speed in feet per hour? Rabbit runs 1/4 as fast as Mr. Cheetah. If Mr. Cheetah A. 380 runs a mile in 3 minutes, Mr. Tortoise needs ---- B. 420 hour(s) to run this distance. C. 460 A. 1 D. 500 B. 2 E. 540 C. 3 D. 4 E. 5

23. Equivalent Fractions 28. Consecutive Integers The fraction 3/9 has an equivalent fraction for which What is the smallest of three consecutive integers the sum of the numerator and the denominator is 300. whose sum is 39? What is the numerator of that fraction? A. 11 A. 45 B. 12 B. 55 C. 13 C. 65 D. 14 D. 75 E. 15 E. 85

24. Baseball Statistics 29. Birthrates If Poison Ivy Macgruder got 42 hits in 210 times at The daily natality rate for a flock of sheep producing bat, what was her batting average? 120 new lambs annually is approximately ... A. .200 A. .1 B. .210 B. .3 C. .220 C. .5 D. .230 D. .5 E. .240 E. .9

25. Averages 30. Weighty Math 17 accountants counted 21,420 beans in 10 minutes. Subtract 3 pounds 12 ounces from 8 pounds 10 How many beans were counted per accountant per ounces. minute? A. 4 pounds 2 ounces A. 94 B. 5 pounds 2 ounces B. 112 C. 4 pounds 8 ounces C. 126 D. 5 pounds 12 ounces D. 132 E. 4 pounds 14 ounces E. 144 Math Round 10 Page 4 31. Travel Problems A bus leaves Hereville for Thereville traveling at 60 miles per hour. Simultaneously, another bus leaves Thereville heading to Hereville at 50 miles per hour. If it is 605 miles between the towns, how many hours will it be until the buses meet? A. 5 B. 5.5 C. 6 D. 6.5 E. 7 32. Factoring Which number is not paired with its prime factors? A. 58 2 x 29 B. 92 2 x 2 x 23 C. 66 2 x 3 x 13 D. 84 2 x 2 x 3 x 7 E. 48 2 x 2 x 2 x 2 x 3

33. Square Sides What is the length of one side of a square that has an area of 196 square centimeters? A. 12 cm B. 14 cm C. 16 cm D. 19 cm E. 20 cm

34. Racing Statistics In a bike race, Ned peddled 24 mph for the first 3 hours, 22 mph for the next 3 hours, 18 mph for the next hour, and 16 mph for the final hour. His average speed for the race was ---- mph. A. 20.5 B. 21.5 C. 22.5 D. 23.5 E. 24.5

35. GCFs What is the greatest common factor of 42 and 105? A. 3 B. 6 C. 18 D. 21 E. 32 Math Round 10 - Answers 1. C 2. B 3. B 4. D 5. D 6. A 7. B 8. D 9. A 10. D 11. A 12. A 13. D 14. A 15. B 16. D 17. A 18. A 19. A 20. A 21. A 22. B 23. D 24. A 25. C 26. B 27. D 28. B 29. B 30. E 31. B 32. C 33. B 34. B 35. D Math Round 11 Page 1 1. Improper Fractions 6. Card Probability What is the cube of 28/7? If you randomly pull one card from a standard deck, A. 36 what are the chances that it is either a black queen or a B. 49 red seven? C. 64 A. 1 in 11 D. 81 B. 1 in 13 E. 100 C. 1 in 18 D. 1 in 22 E. 1 in 26

2. Anthropological Math 7. Averages Man, in the genus Homo, appeared about 2 million What is the mean of 5/8 and 0.085? years ago. If the Earth is 4.6 billion years old, man is A. .245 about ---- as old as the planet. B. .355 A. 1/23 C. .465 B. 1/230 D. .575 C. 1/2,300 E. .685 D. 1/23,000 E. 1/230,000

3. Inequalities 8. Rounding If 3x - 4 > 14, what is x? Which number has not been correctly rounded to the A. >2 nearest multiple of 25? B. >3 A. 266 - 250 C. >4 B. 312 - 300 D. >5 C. 446 - 450 E. >6 D. 528 - 525 E. 638 - 650

4. Algebraic Transposition 9. Ratios a = b/cd. What is d? Express this continued ratio in lowest terms. A. abc 4 tons to 1500 pounds to 50 pounds B. ac/b A. 140 to 20 to 1 C. b/ac B. 160 to 30 to 1 D. ab/c C. 180 to 40 to 1 E. c/ba D. 200 to 50 to 1 E. 220 to 60 to 1

5. Mixed Numbers 10. Geometric Solids Which mixed number is not paired with its Add the number of faces on a cone, a cube, a corresponding fraction? triangular pyramid, and a cylinder. A. 20 4/5 - 104/5 A. 11 B. 1 31/64 - 95/64 B. 13 C. 2 7/12 - 31/12 C. 15 D. 12 7/11 - 129/11 D. 17 E. 8 2/25 - 202/25 E. 19 Math Round 11 Page 2 11. Pressure 16. Binary Biology There are pressures of 1 atmosphere at sea level, 2 Using the binary system, which creature is not atmospheres at a depth of 33 feet, 3 at 66 feet, and 8 correctly paired with its number of legs? atmospheres at ---- feet. A. primate - 10 A. 132 B. insect - 110 B. 165 C. canine - 100 C. 198 D. spider - 1100 D. 231 E. octopus - 1000 E. 264

12. Filling a Tank 17. Pizza Portions If you had a water tank 4 meters by 4 meters by 4 To partition a pepperoni pizza from Pavarotti's meters, then water flowing into it at a rate of .5 cubic Pizzeria into fifteen equal pieces, each slice must be meters per second would fill it in ---- seconds. cut at an angle of ---- degrees. A. 64 A. 12 B. 96 B. 15 C. 128 C. 18 D. 160 D. 21 E. 192 E. 24

13. Meat Measurement 18. Shadows How many two-ounce meatballs can be made from The shadow of a 6-foot-tall lady cast by a street lamp four pounds of burger? 10 feet behind her is 12 feet in length. The lamp is A. 16 ---- feet above the ground. B. 24 A. 9 C. 32 B. 10 D. 48 C. 11 E. 60 D. 12 E. 13

14. Cross Sections 19. Square Roots What is the shape of a cross section that cuts through Which square root is not correct? five faces of a cube? A. 1 = square root of 2 A. triangle B. 4 = square root of 16 B. hexagon C. 8 = square root of 64 C. septagon D. 11 = square root of 121 D. pentagon E. 15 = square root of 225 E. quadrilateral

15. Trial Problems 20. Paper Piling Four out of five people failed the trial by fire ordeal A Great Auk poster .02 millimeters thick is cut in half during the Inquisition. If twenty people failed the and one piece is placed on the other. This is repeated ordeal, how many passed it? 9 more times, leaving a pile of poster pieces how A. 2 many centimeters high? B. 3 A. 1.024 C. 4 B. 2.048 D. 5 C. 3.072 E. 6 D. 4.096 E. 5.120 Math Round 11 Page 3 21. Divisors 26. Farmer Statistics The square root of 152 is between ... Al planted 20 acres Monday, 14 acres Tuesday, 24 A. 9 and 10 acres Wednesday, and a total of 52 acres on Thursday B. 10 and 11 and Friday. What is the average number of acres he C. 11 and 12 planted each day? D. 12 and 13 A. 18 E. 13 and 14 B. 22 C. 26 D. 30 E. 32

22. Fractions and Decimals 27. Intersections Which number is not equal in value to the others? Within a circle, there are four horizontal chords and A. .75% three vertical chords. What is the total number of B. .0075 intersections of the lines with each other and with the C. 3/4% circle? D. 75/10000 A. 24 E. 30000/40000 B. 26 C. 28 D. 30 E. 32

23. Algebraic Expressions 28. Time Reckoning Which algebraic representation is not paired with its After September 30, ---- of the year remains. meaning? A. .15 A. y/5 is a number divided by 5 B. .2 B. 8/(2n) is 8 halves times a number C. .25 C. 2xy is the product of 2 and x and y D. .3 D. 4n is the product of 4 and a number E. .35 E. 5(x+6) is 5 times the sum of x and 6

24. Installment Purchases 29. Scientific Notation Instead of paying $5800 cash for an engine, you paid Five and one-half million equals 5.5 times ten to what $1000 down and $230 per month for 2 years. You power? would have saved ---- by paying cash. A. 5th A. $610 B. 6th B. $640 C. 7th C. $690 D. 8th D. $720 E. 9th E. $750

25. Fractions and Decimals 30. Surface Area Which decimal is not equivalent to the fraction with A box measures 2 by 4 by 4 feet. Its total surface which it is paired? area is ---- square feet. A. .7500 = 3/4 A. 24 B. .1429 = 1/7 B. 36 C. .3750 = 3/8 C. 48 D. .2755 = 1/9 D. 52 E. .7000 = 7/10 E. 64 Math Round 11 Page 4 31. Sets What is the intersection of these sets? {squares of whole numbers from 2 to 9} and {all even numbers} A. {2, 4, 6, 8} B. {3, 5, 7, 9} C. {9, 25, 49, 81} D. {4, 16, 36, 64} E. {22, 44, 66, 88}

32. Areas All of these rectangles have perimeters of 36 but which has the greatest area? A. 5 x 13 B. 6 x 12 C. 7 x 11 D. 8 x 10 E. 9 x 9

33. Expectation Calculation In his sector, Hector the egg director expects to reject 4% of the eggs he inspects through imperfection detection. Out of 2000 eggs, how many do you suspect he will select as perfect? A. 1860 B. 1880 C. 1900 D. 1920 E. 1940

34. Proportion At the same time that a 5' deer hunter casts a 20' shadow, immediately behind him stood a grizzly bear casting a 45' shadow. The bear was ---- feet tall. A. 9.75 B. 10.5 C. 11.25 D. 12.5 E. 13

35. Algebraic Evaluation Given that m = 7 and b = 13, evaluate this expression. 7m + 3(b+4) A. 92 B. 94 C. 96 D. 98 E. 100 Math Round 11 - Answers 1. C 2. C 3. E 4. C 5. D 6. B 7. B 8. A 9. B 10. C 11. D 12. C 13. C 14. D 15. D 16. D 17. E 18. C 19. A 20. B 21. D 22. E 23. B 24. D 25. D 26. B 27. B 28. C 29. B 30. E 31. D 32. E 33. D 34. B 35. E Math Round 12 Page 1 1. Mathematical Principles 6. Shopping If p+r = q+r, we know that ... Which is the best buy on chicken livers? A. p = r A. 1 pound for $.65 B. p = q B. 2 pounds for $.96 C. p = r/q C. 4 pounds for $2.00 D. q = r/p D. 10 pounds for $6.00 E. pq = r/p E. 20 pounds for $11.20

2. Oxen Sales Tax 7. Time Mr. Monger buys a used pump for $98.50. After How many decades are in three millenniums? paying a sales tax of 3%, the total cost is ... A. 3 A. $100.45 B. 30 B. $101.46 C. 300 C. $106.52 D. 3000 D. $114.40 E. 30000 E. $124.26

3. Circles 8. Plane Figures In a circle in which the longest possible chord is ten The more sides a regular polygon has, the greater ... inches, the radius is ---- inches. A. its area A. 3 B. its perimeter B. 4 C. its number of midpoints C. 5 D. the length of its diagonals D. 6 E. the sum of its interior angles E. 7

4. Prospectors 9. Triangle Sides Last summer, some guys went mining in Alaska and The lengths of the three sides of a are sluiced five pounds of gold. If the price of gold is consecutive even whole numbers. What are the $1700 per ounce, how much is their gold worth? lengths of the three sides? A. $102,000 A. 4, 6, 8 B. $114,000 B. 2, 3, 4 C. $128,000 C. 6, 8, 10 D. $136,000 D. 8, 10, 12 E. $140,000 E. 10, 12, 14

5. Stucco Math 10. Drafting Rocco charges $14 per square yard for his work. If 1/4 inch represents 1 foot on a blueprint, how many What would he charge to stucco both sides of a wall inches on the drawing represent 8 yards? 10 feet high and 90 feet long? A. 3 A. $2700 B. 4 B. $2800 C. 5 C. $2900 D. 6 D. $3000 E. 7 E. $3100 Math Round 12 Page 2 11. Volume 16. Percentage A rectangular box 10 inches long and 6 inches high 18 is what percent of 53? contains 300 cubic inches. Its width is ---- inches. A. 33 A. 3 B. 34 B. 5 C. 35 C. 8 D. 36 D. 11 E. 37 E. 15

12. Probability 17. Percentages The odds are highest of rolling which number with a Which percentage is not paired with its decimal value? pair of dice? A. 6%, .6 A. 2 B. 3.5%, .035 B. 5 C. 1/5%, .002 C. 7 D. 1/10%, .001 D. 10 E. 205%, 2.05% E. 12

13. Inequalities 18. Decimal Metamorphosis The length of Gwendolyn's garden is 12 meters. If Which is equivalent to .4375? the area of the garden is at least 96 square meters, the A. 3/16 smallest width the garden could have is ---- meters. B. 5/16 A. 2 C. 7/16 B. 4 D. 9/16 C. 6 E. 11/16 D. 8 E. 10

14. Plane Problems 19. Time and Speed Problems Boeing's crew can build a plane in 8 months. The A plane that averages 500 mph leaves Seattle for Airbus crew can build it in 6 months. If both crews Boston at the same time a plane that averages 650 work together, what fraction of the plane is still mph leaves Honolulu for Phoenix 3000 miles away. incomplete after 2 months? They will meet in ---- hours. A. 3/5 A. 2.0 B. 4/9 B. 2.2 C. 5/12 C. 2.4 D. 6/13 D. 2.6 E. 7/15 E. 2.8

15. Sequences 20. Squares What is the sum of the two missing numbers in this As the side of a square changes from 6 to 7, the area sequence? of the square changes from 36 to ... 2 9 7 ------19 17 24 22 A. 42 A. 12 B. 45 B. 16 C. 49 C. 20 D. 52 D. 26 E. 56 E. 32 Math Round 12 Page 3 21. Polygons 26. Signed Numbers If all the sides are 3 inches long, the sum of the From (-5)(-2)(3) subtract (7)(-2). perimeters of a hexagon and two octagons is ---- A. 16 inches. B. 21 A. 66 C. 30 B. 68 D. 44 C. 70 E. 56 D. 72 E. 74

22. Radiocarbon Dating 27. A Gas Problem Because of its short half-life of 5730 years, Your tank holds twenty gallons and your gas gauge is radiocarbon dating is useful only in dating things and halfway between the three-fourths and the events back to about 50,000 years or about ---- seven-eighths full marks. To the nearest gallon, how half-lives. many gallons are in the tank? A. 3 A. 13 B. 6 B. 14 C. 9 C. 15 D. 12 D. 16 E. 15 E. 17

23. Equivalence 28. Number Equivalents Which is not equivalent to the others? Which percent is not paired with its decimal form? A. 99.96 A. 5% - .5 B. 100 - .04 B. 96% - .96 C. (9.8)(10.2) C. 1/2% - .005 D. 10 squared D. 3 3/4% - .0375 E. (10 - .2)(10 + .2) E. 134.7% - 1.347

24. Sales 29. Linear Equations In January, 200 Acme portable holes were sold. Sales If the difference between two positive integers is 38 doubled every month through July. How many and one of them is three times larger than the other, portable holes were sold in July? what is the larger integer? A. 1600 A. 51 B. 3200 B. 53 C. 6400 C. 55 D. 12,800 D. 57 E. 25,600 E. 50

25. Multifarious Measures 30. Salmon Sequences Wild Eddie said he was heading off on an extended Sam snagged 7 salmon on Saturday, 11 on Sunday, trip for two score fortnights. How many days will he and 15 on Monday. If this trend continues, how be gone? many will he get on Thursday? A. 400 A. 23 B. 440 B. 25 C. 480 C. 27 D. 520 D. 29 E. 560 E. 31 Math Round 12 Page 4 31. Linear Equations 5.2 is the result when 8.8 is subtracted from twice the value of what number? A. 3 B. 4 C. 5 D. 6 E. 7

32. Percentage What percent of 50 is 12.5? A. 15 B. 20 C. 25 D. 30 E. 35

33. A Gross Math Problem Egbert Eggleston has 84 z eggs. How many gross of eggs does he have? A. 6 B. 7 C. 8 D. 9 E. 10

34. Possible Products What is the largest possible product for two even integers whose sum is 54? A. 624 B. 680 C. 704 D. 728 E. 840

35. Treasure Piles The Lost Dutchman divided his 80 bags of gold dust into a large and small pile. How many bags were in the small pile if the large pile had 18 more than the small pile? A. 17 B. 24 C. 31 D. 38 E. 43 Math Round 12 - Answers 1. B 2. B 3. C 4. D 5. B 6. B 7. C 8. E 9. C 10. D 11. B 12. C 13. D 14. C 15. D 16. B 17. A 18. C 19. D 20. C 21. A 22. C 23. D 24. D 25. E 26. D 27. D 28. A 29. D 30. C 31. E 32. C 33. B 34. D 35. C Math Round 13 Page 1 1. Fish Calculations 6. Ratios Some guys were fishing. As usual, Bill caught most of 3/8 is a simplified way of expressing the ratio of 42 to the fish, Ron caught 7 less than Bill, and Dallas caught ... 4 more than Ron. If Dallas caught 14, how many did A. 108 they catch altogether? B. 112 A. 41 C. 116 B. 43 D. 120 C. 45 E. 124 D. 47 E. 49

2. Graphing 7. Other Bases A slice on a pie graph has an arc of 72 degrees. That The base 2 numeral 11000 is equivalent to the ... slice equals what percent of the whole? A. number of blackbirds in a pie A. 42 B. title of a novel by George Orwell B. 25 C. years in the Gettysburg Address C. 66 D. number of wise monkeys of Nikko D. 20 E. number of lives a cat is said to have E. 35

3. Decimals 8. Consecutive Integers Which is a repeating decimal? If X is smallest, you can represent the sum of 3 A. .57557555755557 ... consecutive odd integers as 3X + ... B. 3.1415926535897 ... A. 3 C. .00600660066600 ... B. 4 D. .40414243444546 ... C. 5 E. .39993999399939 ... D. 6 E. 7

4. Pressure 9. Collectible Computations A 200-pound cube with a volume of 125 cubic feet Lou has three times as many kachinas as Kim. Kim exerts how many pounds per square foot on the has two-thirds as many kachinas as Meg. Meg has 27 surface upon which it rests? kachinas. How many does Lou have? A. 2 A. 50 B. 4 B. 52 C. 6 C. 54 D. 8 D. 56 E. 10 E. 58

5. Triangles 10. Math Statements Consider two similar right triangles. The shortest side Which statement is false? of the smaller triangle is 6 and its is 8. If A. xy + (-xy) = 0 the shortest side of the larger triangle is 18, what is its B. mx + my = m(x+y) hypotenuse? C. 12 + 15 = 15 + 12 A. 24 D. (5+3) + n = 5 + (3+n) B. 26 E. 3 + (5(9)) = (3+5)(3+9) C. 28 D. 32 E. 34 Math Round 13 Page 2 11. Mathematical Sets 16. Notation The set of all even numbers illustrates a(n) ---- set. There are 16 symbols in the hexadecimal system A. null including 0-9 followed by A, B, C, D, E, and F. So B. empty what is the decimal value of B times C? C. infinite A. 110 D. disjoint B. 121 E. overlapping C. 132 D. 156 E. 182

12. Mathematical Relations 17. Card Probability Which equation defines the relationship between X In a regular deck of playing cards, what is the and Y in this table? probability of randomly pulling a black face card? X 1, 2, 3, 4, 5, 6 A. 1 in 18 Y 1, 4, 7, 10, 13, 16 B. 2 in 13 A. Y = 2 - X C. 3 in 26 B. Y = 3X - 2 D. 4 in 11 C. Y = 4 - 3X E. 5 in 21 D. Y = 3X + 1 E. Y = x squared -2

13. Probability 18. Triangles In a box in a dark room are 6 black and 4 green Which are the sides of a right triangle? buttons. How many must be randomly drawn to A. 6, 9, 12 absolutely guarantee you have two black and two B. 8, 10, 12 green buttons? C. 9, 12, 15 A. 5 D. 7, 14, 21 B. 6 E. 13, 14, 15 C. 7 D. 8 E. 9

14. Fraction Comparisons 19. Fish Averages Which is smallest? One morning, Ike caught fish weighing 9, 14, 22, 18, A. 5/8 and 6 ounces. The next fish must weigh ---- ounces B. 3/4 for all of them to average 16 ounces. C. 11/16 A. 21 D. 45/64 B. 23 E. 23/32 C. 25 D. 27 E. 29

15. Circles 20. Linear Equations 40 degrees is what fraction of one revolution? 3 times a number is increased by 6. The result is the A. 1/5 same was when 5 times the number is decreased by B. 1/7 24. What is the number? C. 1/9 A. 11 D. 1/11 B. 12 E. 1/13 C. 13 D. 14 E. 15 Math Round 13 Page 3 21. Large Numbers 26. Garden Math When you multiply fifty thousand by two million, how Mr. Boyardie has garlic and onion plants in his many zeroes are in the product? garden in the ratio of 2 to 3. Of the 60 plants in the A. 9 garden, how many are onions? B. 10 A. 18 C. 11 B. 24 D. 12 C. 30 E. 13 D. 36 E. 42

22. Metric Approximations 27. Mechanical Drawing Five cubic centimeters just about equals the volume of The scale on a drawing says 3 inches equal 1 foot. one ... The drawing is what fraction of the size of the actual A. shoe box object? B. teaspoon A. 1/8 C. billiard ball B. 1/6 D. kernel of corn C. 1/4 E. paperback book D. 1/3 E. 1/2

23. Wormy Math 28. Mixture Problems The price of fishing worms dropped from $3 for 2 What is the total value of a mixture of herbs consisting pounds to $3 for 6 pounds. How many more pounds of 20 pounds of basil worth 65 cents per pound and of worms can now be bought for $12? 10 pounds of sage at 75 cents per pound? A. 12 A. $15.60 B. 14 B. $18.40 C. 16 C. $20.50 D. 18 D. $22.20 E. 20 E. $24.10

24. Percentage Problems 29. Canine Ages Last year, Willy's Widget Works manufactured 8,300 At Priscilla's Puppy Parlor, a baby spaniel is 18 days widgets, but this year, it produced 5 percent less. How old and baby poodle is 3 days old. In how many days many were made this year? will the spaniel be exactly twice as old as the poodle? A. 6,640 A. 6 B. 6,690 B. 8 C. 7,358 C. 10 D. 7,737 D. 12 E. 7,885 E. 14

25. Multiplication of Fractions 30. Bird Beaks What is the product expressed in lowest terms? An Auk has polished 46% of its grand fourteen-inch 6/7 x 3/4 x 2/3 beak. How many inches does he still have to polish? A. 2/5 A. 6.44 B. 3/7 B. 7.12 C. 5/9 C. 5.76 D. 7/12 D. 7.56 E. 9/14 E. 6.84 Math Round 13 Page 4 31. Circle Centers If the line of centers of two circles is 16 centimeters and their diameters are 4 and 10 centimeters respectively, then the circles are separated by how many centimeters? A. 5 B. 6 C. 7 D. 8 E. 9

32. Levers A 20-pound weight 18 inches from the fulcrum balances a 36-pound weight how many inches from the fulcrum? A. 8 B. 10 C. 12 D. 14 E. 16

33. Metric Cuts From a rope 2x meters long, a piece 8x centimeters was removed. What fraction of the original rope remains? A. 7/8 B. 24/25 C. 49/50 D. 15/16 E. 99/100

34. Cube Constructions If you had to paint the exposed sides of a stack of cubes 8 cubes long and 5 cubes high, how many faces of the cubes would have to be painted? A. 90 B. 94 C. 96 D. 98 E. 100

35. Number Problems Three times the sum of two consecutive odd numbers is 132. What is the smaller number? A. 21 B. 19 C. 23 D. 25 E. 27 Math Round 13 - Answers 1. A 2. D 3. E 4. D 5. A 6. B 7. A 8. D 9. C 10. E 11. C 12. B 13. D 14. A 15. C 16. C 17. C 18. C 19. D 20. E 21. C 22. B 23. C 24. E 25. B 26. D 27. C 28. C 29. D 30. D 31. E 32. B 33. B 34. D 35. A Math Round 14 Page 1 1. Probability 6. Dimensions A bag contains 12 brass, 6 aluminum, and 8 steel If three faces of a rectangular crate have areas of 60, keys. What is the probability that the first key drawn 40, and 24 square centimeters, what are its randomly will be steel? dimensions? A. 3 in 13 A. 4 x 6 x 6 B. 4 in 13 B. 4 x 4 x 7 C. 5 in 13 C. 4 x 7 x 8 D. 6 in 13 D. 4 x 5 x 9 E. 7 in 13 E. 4 x 6 x 10

2. Consecutive Integers 7. Campaign Promises What is the sum of two consecutive odd integers if After months on the campaign trail, a candidate was their product is 143? able to make two empty promises every fifteen A. 22 seconds. How many such promises could he make in B. 24 five minutes? C. 26 A. 30 D. 28 B. 40 E. 30 C. 50 D. 60 E. 70

3. Pressure 8. Number Magnitudes In grams per square centimeter, how much pressure is Which is smallest? exerted by a cube weighing 324 grams with edges of A. 3/5 six centimeters? B. 6/10 A. 7 C. 8/15 B. 9 D. 11/20 C. 11 E. 13/25 D. 13 E. 15

4. Circles 9. Exponents The length of a 45-degree arc on a circle with a What is the value of the quantity (2 to the third power) circumference of 32 inches is ---- inches. squared? A. 2 A. 28 B. 4 B. 36 C. 6 C. 48 D. 8 D. 56 E. 10 E. 64

5. Polygon Perimeters 10. Linoleum Area 162 cm is the perimeter of which regular polygon How many square feet of linoleum are needed to whose sides measure 18 cm? cover the floor of both a 6' by 5' bathroom and a 3' A. pentagon by 9' hallway? B. hexagon A. 47 C. septagon B. 57 D. octagon C. 67 E. nonagon D. 77 E. 87 Math Round 14 Page 2 11. Martian Math 16. Algebraic Expressions On Mars, there are 3 auuks in 6 bauuks. 12 bauuks Killer tomatoes cost X cents per pack. What is the cost equal 1 dauuk. How many auuks are there in 6 of Z cases of these tomatoes if there are 10 packs to dauuks? the case? A. 36 A. 10XZ B. 48 B. (XZ)/10 C. 64 C. (10X)/Z D. 72 D. (10Z)/X E. 96 E. 10/(XZ)

12. Drip - Drip - Drip 17. Statistics Your kitchen faucet dribbled one-half pint of water What is the range of these scores? between 7 a.m. and 3 p.m. How many gallons does it 914, 439, 528, 123, 611, 714, 802 leak in 4 weeks? A. 471 A. 2.75 B. 561 B. 3.25 C. 681 C. 4.75 D. 791 D. 5.25 E. 841 E. 6.75

13. Orbits 18. Mathematical Sets The Earth orbits the Sun at 18.5 miles per second, or The first set includes pythons, tarantulas, centipedes, about what fraction of the speed of light? and stingrays. The second set is disjoint if it includes A. 1/100 ... B. 1/1,000 A. pythons, tarantulas, and stingrays C. 1/10,000 B. brown recluses, stingrays, and fleas D. 1/100,000 C. black widows, sidewinders, and ticks E. 1/1,000,000 D. sea urchins, scorpions, and centipedes E. copperheads, boa constrictors, and pythons

14. Numbers 19. Numbers Which is a mixed number? Which is an ordinal number? A. 28/5 A. 92 B. 7.5774 B. 3 pi C. MCXXIV C. 725th D. 563 3/5 D. 24 3/7 E. 14.6 squared E. 8 squared

15. Roman Math 20. Probability Multiply the Roman numeral XIV by L. Jennifer's practice tennis ball bag contained 22 yellow A. CM balls, 7 red balls, and 20 white balls. What is the B. DCC probability that the first ball she randomly pulled C. DCIX from the bag was red? D. LDXX A. 1 in 7 E. MCXV B. 2 in 7 C. 3 in 7 D. 4 in 7 E. 5 in 7 Math Round 14 Page 3 21. Cubed Numbers 26. Birthday Calculations What is the cube of 1.01? What birthday will be celebrated in 2016 by someone A. 1.020201 born in 1947? B. 1.030301 A. 63rd C. 1.040401 B. 65th D. 1.050401 C. 67th E. 1.060401 D. 69th E. 71st

22. Flight Math 27. Algebraic Expressions An airplane flying at 4.2 miles per minute covers how Mr. Wong has x aliens in a closet. 1/3 are many miles in 5 hours? green-lipped while 1/4 of the remainder are toothy. A. 1220 The rest are unusual. How many of the aliens are B. 1230 unusual? C. 1240 A. 1/2x D. 1250 B. 3/5x E. 1260 C. 2/3x D. 1/4x E. 5/6x

23. Magnetic Levitation 28. Avian Assemblages The maximum recorded speed of a maglev train is How many hawks are in a group of 400 birds if there 581 kilometers per hour or about ---- miles per hour. are only hawks and doves in the group, and the ratio A. 250 of hawks to doves is 3 to 1? B. 280 A. 150 C. 320 B. 200 D. 360 C. 250 E. 390 D. 300 E. 350

24. Points in a Row 29. Flow Figuring Since x and y and z are collinear points and xz + xy = A pond can be filled in 3 hours with one hose or in 6 yz, therefore ... hours with a smaller one. Using both hoses, the pond A. xy is greater than yz can be filled in how minutes? B. x is between y and z A. 100 C. y is between x and z B. 120 D. z is the midpoint of yx C. 140 E. y is the midpoint of xz D. 160 E. 180

25. Pi 30. Binary Brainwork What digit occupies the thousandths place in the What is next in this sequence of binary numerals? number "pi"? 10 100 110 1000 A. 1 A. 1001 B. 3 B. 1010 C. 5 C. 1011 D. 7 D. 1100 E. 9 E. 1110 Math Round 14 Page 4 31. Bird Ratios A pen contains 20 quail, some of which are bobwhites and some of which are Gambel's. The ratio of the two species of birds could not be ... A. 1 to 1 B. 4 to 1 C. 6 to 4 D. 8 to 2 E. 10 to 1

32. Fraction Conversion What fraction equals 62.5%? A. 5/6 B. 5/7 C. 5/8 D. 5/9 E. 5/11

33. Circles The circumference of a circle includes how many arcs of 7.5 degrees? A. 24 B. 32 C. 36 D. 42 E. 48

34. Cubes The sum of the volumes of a cube with two-inch sides and another cube each face of which contains sixteen square inches is ---- cubic inches. A. 18 B. 38 C. 72 D. 108 E. 214

35. Number Sequences What is the next number in this sequence? 10 7 4 1 ... A. 0 B. -1 C. -2 D. -3 E. -4 Math Round 14 - Answers 1. B 2. B 3. B 4. B 5. E 6. E 7. B 8. E 9. E 10. B 11. A 12. D 13. C 14. D 15. B 16. A 17. D 18. C 19. C 20. A 21. B 22. E 23. D 24. B 25. A 26. D 27. A 28. D 29. B 30. B 31. E 32. C 33. E 34. C 35. C Math Round 15 Page 1 1. Algebraic Simplification 6. Lines of Symmetry Simplify this expression. Which figure has the greatest number of lines of -3(x+y) - 2(2x-y) symmetry? A. 2x-y A. circle B. x-2y B. square C. 7x-y C. octagon D. -x+y D. pentagon E. -7x-y E. dodecagon

2. An Odd Math Question 7. Travel Problems Given that x is an even number, which choice must A speedy amoeba travels 2 centimeters in .4 day. This result in an odd number? is how many centimeters per day? A. 2x + 3 A. 4 B. 2x + x B. 5 C. x cubed C. 6 D. x squared - 4 D. 7 E. 2x - (x to the first power) E. 8

3. Signed Number Averages 8. Voter Demographics What was the average noontime temperature at In the elections of 1867, official figures for Frostbite Falls Minnesota during a six-day period reconstructed states showed 700,000 black voters and given these official readings? 627,000 white voters. Black voters made up what -10 +2 -6 -14 0 +4 about percentage of the total? A. -3 A. 28 B. -4 B. 34 C. -5 C. 47 D. -6 D. 53 E. -7 E. 69

4. Time Between Dates 9. Taxi Fare How much time has elapsed between the 25th of Rawahl's elephant taxi service charges 28 rupees for December 1952 and the 4th of January 1988? the first quarter mile and 12 rupees for each A. 28 Yr., 4 Mo., 12 Da. additional quarter mile. A four-mile trip costs ---- B. 35 Yr., 0 Mo., 9 Da. rupees. C. 42 Yr., 11 Mo., 6 Da. A. 176 D. 32 Yr., 5 Mo., 0 Da. B. 180 E. 44 Yr., 10 Mo., 10 Da. C. 192 D. 208 E. 214

5. Money Exchanges 10. Fractions If you get 2,368 Colombian pesos for 74 Pakistani Which choice is not an equivalent fraction of the rupees, the exchange rate is ... others? A. 30 to 1 A. 2/3 B. 32 to 1 B. 4/6 C. 34 to 1 C. 9/15 D. 36 to 1 D. 12/18 E. 38 to 1 E. 16/24 Math Round 15 Page 2 11. Protester Probability 16. Linear Equations A group of protesters at the Seattle WTO conference What is the value of q in 5q - 4 = 3q + 18? included 60 dockworkers, 40 tree huggers, 30 A. 3 save-the-turtlers, and 10 aged hippies. What is the B. 5 probability that the first person arrested in this group C. 7 is a tree hugger? D. 9 A. 1 in 5 E. 11 B. 2 in 7 C. 3 in 8 D. 4 in 9 E. 5 in 11 12. Squares 17. Polygons Which is not a perfect square? How many more degrees are in the interior angles of a A. 144 square than in a triangle? B. 169 A. 30 C. 196 B. 45 D. 225 C. 60 E. 262 D. 90 E. 180

13. Teeter-totter Math 18. Scientific Notation Big Bob weighs 260 pounds and is on a teeter-totter 4 What number divided by 10,000 equals 10 to the feet from the fulcrum while Little Linda Lou is second power? balancing him by sitting 16 feet from the fulcrum. A. one million She weighs ---- pounds. B. ten million A. 65 C. one billion B. 70 D. one hundred million C. 75 E. one hundred thousand D. 80 E. 85

14. Solutions 19. Test Results To make a saline solution of .75 grams per 100 If Ginger got six times as many right as she got wrong milliliters, how many grams of salt should be added to on a 140-question civics test, how many did she get one liter of pure water? right? A. .075 A. 80 B. .75 B. 90 C. 7.5 C. 100 D. 75 D. 110 E. 750 E. 120

15. Ballistics 20. Percentage A missile traveling at 3100 feet per second goes about If 18 is 15% of a number, 40% of the number is ... how many miles in 12 seconds? A. 40 A. 6 B. 42 B. 7 C. 44 C. 8 D. 46 D. 9 E. 48 E. 10 Math Round 15 Page 3 21. Binary System 26. Proportions Express as a binary numeral the number of U.S. states Which proportion is incorrect? bordering the Pacific Ocean. A. 3/7 = 9/21 A. 10 B. 6/12 = 4/8 B. 11 C. 5/8 = 10/16 C. 100 D. 4/5 = 14/20 D. 101 E. 7/9 = 56/72 E. 111

22. Ridiculous Raises 27. Reasoning Mr. Gates just gave himself an $8 million raise. If that Which statement is true? is a 25% pay increase, his new annual salary is ---- A. 36 > 63 million. B. 12(2) = 12/2 A. $34 C. 6 + 9 = 14 or 8 - 3 = 5 B. $36 D. 8/4 = 2 and 12 + 2 = 16 C. $38 E. If 18/2 = 9 then 18(2) = 34 D. $40 E. $42

23. Linear Equations 28. Triangles In which equation must n be something other than 4? Which could be the lengths of the sides of an isosceles A. 28/n = 7 triangle? B. 32n = 128 A. 14, 18, 16 C. n - 20 = -16 B. 20, 18, 20 D. 3n - 4n = -4 C. 14, 12, 25 E. 1/2(n + 6) = 8 D. 12, 14, 16 E. 13, 25, 43

24. Chaos Calculation 29. Number Palindromes A 1923 earthquake in Tokyo caused fires that Which choice does not produce a numeric destroyed 360,000 houses or 71% of those in the city. palindrome? About how many were not destroyed? A. 11 squared A. 131,000 B. 22 squared B. 147,000 C. 26 squared C. 155,000 D. 33 squared D. 163,000 E. 101 squared E. 178,000

25. Mass 30. Fractions of Fractions The mass of a quart of milk is about 1 ... A leaky barrel loses half its contents every hour. If it A. gram is filled to capacity, what fraction of its original B. kilogram volume has leaked out after 5 hours? C. decigram A. 3/4 D. dekagram B. 7/8 E. hectogram C. 15/16 D. 31/32 E. 63/64 Math Round 15 Page 4 31. Shack Sizes Henrietta's hut is 12' by 12' while Harry's is 22' by 22'. How many more square feet are in Harry's? A. 260 B. 280 C. 300 D. 320 E. 340

32. Roman Numerals Multiply XVII by IX. A. MCVIV B. CLIII C. XCVII D. DCXIV E. XXXII

33. Numbers What is the sum of the squares of the composite numbers between 3 and 3 squared? A. 56 B. 18 C. 74 D. 83 E. 116

34. Numbers The square root of which number is rational? A. 2 B. 3 C. 5 D. 9 E. 11

35. Length Ratios Restate in simplest form the ratio of 3 inches to 2 feet. A. 1 to 2 B. 1 to 4 C. 1 to 6 D. 1 to 8 E. 1 to 10 Math Round 15 - Answers 1. E 2. A 3. B 4. B 5. B 6. A 7. B 8. D 9. D 10. C 11. B 12. E 13. A 14. C 15. B 16. E 17. E 18. A 19. E 20. E 21. D 22. D 23. E 24. B 25. B 26. D 27. C 28. B 29. D 30. D 31. E 32. B 33. E 34. D 35. D