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Bluegrass Conference - Math Bluegrass Conference - Math 9 rounds of 35 multiple-choice questions 2013 Copyright © 2013 Academic Hallmarks Bluegrass Conference - Math Round 1 Page 1 1. Yes We Have No Bananas 6. Cubed Numbers A door-to-door banana salesman sells B bananas at C What is the cube of 1.01? cents each day. He takes in D dollars during P days. A. 1.020201 D equals ... B. 1.030301 A. 100B/CP C. 1.040401 B. BCP/100 D. 1.050401 C. 100/BCP E. 1.060401 D. 100C/BP E. BP/100C 2. Tree Distributions 7. Linear Equations 480 pine seedlings are distributed among three What is the value of y if -2 = 22 - 4y? tree-huggers in the ratio of 2 to 4 to 6. The one A. -8 getting the smallest share will have ... B. -3 A. 40 C. 2 B. 50 D. 4 C. 60 E. 6 D. 70 E. 80 3. Lines 8. GCFs An oblique line is ... The greatest common factor of 18 and 84 is ... A. thick A. 2 B. curved B. 4 C. slanting C. 6 D. parallel to another line D. 8 E. perpendicular to another line E. 12 4. Geologic Time 9. Linear Equations The age of the Earth is estimated to be about 4.6 The sum of three integers is one hundred seventy-five. billion years. In scientific notation, that is 4.6 times The second is ten more than twice the first. The third 10 to the ---- power years. is three times the second. The smallest number is ... A. 6th A. 10 B. 7th B. 15 C. 8th C. 20 D. 9th D. 25 E. 10th E. 30 5. Trial Problems 10. Gift Wrapping Four out of five people failed the trial by fire ordeal You need at least how many square feet of wrapping during the Inquisition. If twenty people failed the paper to completely cover a box, all the edges of ordeal, how many passed it? which are four feet in length? A. 2 A. 90 B. 3 B. 92 C. 4 C. 94 D. 5 D. 96 E. 6 E. 98 Bluegrass Conference - Math Round 1 Page 2 11. High Probability 16. Grading Corrections An event certain to occur has a probability of ... A professor figured his class of 25 averaged 70% on a A. 0 test. But he incorrectly recorded Mo's score as 32 B. 1 when it should have been 82. The correct average for C. 10 the exam is ... D. 100 A. 71 E. 1000 B. 72 C. 73 D. 74 E. 75 12. Gear Trains 17. Mass You have a 20-toothed gear meshed with a 40-toothed Given the density of water is 1000 kg per cubic meter, gear meshed with a 10-toothed gear which is finally the mass of the water in a tank with interior measures meshed with a 5-toothed gear. How many times does of .6 by 1.3 meters filled to a depth of .3 meter is ---- the 5-toothed gear rotate when the 20-tooth gear kilograms. rotates once? A. 117 A. 2 B. 234 B. 4 C. 362 C. 6 D. 468 D. 8 E. 525 E. 10 13. Prime Probability 18. Crate Volume What is the probability of randomly selecting a prime The area of one side of a crate is 120 square inches. number from the whole numbers 20 to 40 inclusive? The area of its other side is 72 square inches. Its top A. 1 in 3 is 60 square inches. The crate's volume is ---- cubic B. 2 in 7 inches. C. 3 in 7 A. 600 D. 4 in 21 B. 720 E. 5 in 21 C. 864 D. 926 E. 1020 14. Sumerian Math 19. Sets The Sumerians stated large numbers in 60s. For What is the intersection of these sets? example, they stated 120 as two 60s and 180 as three {squares of whole numbers from 2 to 9} 60s. What did they divide into six 60s? and {all even numbers} A. circles A. {2, 4, 6, 8} B. triangles B. {3, 5, 7, 9} C. hexagons C. {9, 25, 49, 81} D. heptagons D. {4, 16, 36, 64} E. pentagons E. {22, 44, 66, 88} 15. Population Explosions 20. Venn Diagrams The time for the human population to double is Of the 29 doggies in the window, 17 had waggly tails estimated by dividing 70 by the annual growth rate. and 21 had floppy ears. How many had both At a 2% rate, man's population of 6.5 billion in 2005 characteristics? will be 13 billion in ... A. 1 A. 2030 B. 3 B. 2035 C. 5 C. 2040 D. 7 D. 2045 E. 9 E. 2050 Bluegrass Conference - Math Round 1 Page 3 21. Numbers 26. Algebraic Transformations Which number is not a perfect square? What is W given that P = 2(L+W)? A. 25 A. 2/LP B. 49 B. PL -2 C. 81 C. (L-2)/P D. 102 D. 2P - 2L E. 121 E. (P-2L)/2 22. Algebraic Expressions 27. Mathematical Sets x/6 could not mean ... The set of all even numbers illustrates a(n) ---- set. A. x divided by 6 A. null B. one-sixth of x B. empty C. the ratio of x to 6 C. infinite D. the product of 6 and x D. disjoint E. the quotient of x and 6 E. overlapping 23. Late for Work 28. Card Probability The guy who hit his snooze alarm every five minutes, If you randomly pull one card from a standard deck, 864 times in a row, went to work how many days late? what are the chances that it is either a black queen or a A. 1 red seven? B. 2 A. 1 in 11 C. 3 B. 1 in 13 D. 4 C. 1 in 18 E. 5 D. 1 in 22 E. 1 in 26 24. Sets 29. GCFs Which is a disjoint set in relation to this set? The greatest common factor of 24 and 60 is ... (kangaroo, opossum, lemur, aardvark, wapiti) A. 2 A. (hare, lemur, coyote) B. 4 B. (seal, whale, opossum) C. 6 C. (wallaby, mink, leopard) D. 8 D. (wolf, pronghorn, aardvark) E. 12 E. (opossum, wapiti, kangaroo) 25. Auto Averages 30. Mechanical Drawing Nell's odometer said 86,350 miles when she began a The scale on a drawing says 3 inches equal 1 foot. trip at 3:20 p.m. At 4:50 p.m., it read 86,437 miles. The drawing is what fraction of the size of the actual Her average speed was ---- mph. object? A. 50 A. 1/8 B. 52 B. 1/6 C. 54 C. 1/4 D. 56 D. 1/3 E. 58 E. 1/2 Bluegrass Conference - Math Round 1 Page 4 31. Area Plotting You draw a line 5' north, 6' east, 4' north, 4' east, 9' south, and 10' west. The area of the enclosed figure is ---- square feet. A. 33 B. 44 C. 55 D. 66 E. 77 32. Binary Biology Using the binary system, which creature is not correctly paired with its number of legs? A. primate - 10 B. insect - 110 C. canine - 100 D. spider - 1100 E. octopus - 1000 33. Sets Which is a subset of this set? {papayas, kiwis, figs, mangoes, chokecherries) A. {mangoes, kiwis} B. {figs, tangerines} C. {papayas, guavas} D. {pineapples, pomegranates} E. {huckleberries, loganberries} 34. Clock Angles A minute hand initially pointing at 12 will point to what number on the clock after rotating through 180 degrees? A. 3 B. 6 C. 8 D. 9 E. 12 35. Rhinoceros Washing Tom can wash a rhinoceros in four hours while Jenny can wash the same rhino in two hours. It will take them ---- minutes to wash a rhino if they work together. A. 50 B. 80 C. 105 D. 120 E. 140 Bluegrass Conference - Math Round 1 - Answers 1. B 2. E 3. C 4. D 5. D 6. B 7. E 8. C 9. B 10. D 11. B 12. B 13. D 14. A 15. C 16. B 17. B 18. B 19. D 20. E 21. D 22. D 23. C 24. C 25. E 26. E 27. C 28. B 29. E 30. C 31. D 32. D 33. A 34. B 35. B Bluegrass Conference - Math Round 2 Page 1 1. Number Problems 6. Integer Relationships Three times the sum of two consecutive odd numbers What can be said about these numbers? is 132. What is the smaller number? 5211 2466 9423 3330 9531 A. 21 A. They are primes. B. 19 B. They are multiples of 9. C. 23 C. Their reciprocals are odd. D. 25 D. They are evenly divisible by 11. E. 27 E. The sums of their digits are even. 2. Birthday Calculations 7. Marine Soup What birthday will be celebrated in 2016 by someone If the number of clams is five times greater than the born in 1947? number of oysters, how many clams are in this soup A. 63rd containing 360 mollusks? B. 65th A. 260 C. 67th B. 280 D. 69th C. 300 E. 71st D. 320 E. 340 3. Probability 8. Time Angles Jennifer's practice tennis ball bag contained 22 yellow How many degrees does a minute hand move in 40 balls, 7 red balls, and 20 white balls. What is the minutes? probability that the first ball she randomly pulled A. 200 from the bag was red? B. 210 A. 1 in 7 C.
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