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3Rd 9Wks Math Problems

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3Rd 9Wks Math Problems PROBLEMS & TASKS 4 DISTANCE, RATE, & TIME Where am I? DISTANCE-1 (A-34): From the dock, Tommy paddled his canoe upstream against the current at 3 miles per hour for 40 minutes. Then Tommy paddled downstream for 36 minutes at 5 miles per hour. Where was he in relation to the dock? ============================================================== ==== DISTANCE-2 (A-41): The distance from Hillpoint to Plain is 148 miles. It is 115 miles from Jonestown to Plain. Smallville is 123 miles from Hillpoint. How far is it from Jonestown to Smallville? ============================================================== ==== DISTANCE-3 (C-33): A helicopter flies 16 miles from the airport to a downtown hotel in 10 minutes. At this rate, how far could the helicopter fly in 2 hours? =============================================================== === DISTANCE-4 (C-41): It is 85 miles from Kansas City to Camden. The distance from Camden to Bern is 40 miles. If Bern is on the road between Kansas City and Camden, how far is it from Kansas City to Bern? =============================================================== === DISTANCE-5 (D-32): Tony did 150 push-ups in 10 minutes. Eric can do push-ups at a rate of 2 every 10 seconds. How long, would it take Eric to do as many push-ups as Tony? =============================================================== === DISTANCE-6 (71-AA): A truck and a car are each traveling 60 miles per hour. About 5 how far apart will they be in 5 minutes? =============================================================== === DISTANCE-7 (88-BB): It takes Misty 12 minutes to walk the 0.7 of a mile from her house to the school. How long would it take Misty to walk a mile at the same speed? =============================================================== === DISTANCE-8 (148-BB): How long will it take a train 1 mile long traveling 60 miles per hour to go through a tunnel 1/2 mile long? =============================================================== === DISTANCE-9 (151-BB): When Mr. Abshire was painting the gutters of his house, he found that he could paint about 25 feet in 1 hour. At this rate, how long would it take Mr. Abshire to paint 185 feet of gutter? DISTANCE-10 (162-BB): The distance between two airports is 18 miles. A helicopter flies the distance in 10 minutes. At this rate, how many miles could the helicopter fly in 1 hour? =============================================================== ===DISTANCE-11: A freight train and a passenger train are stopped on adjacent tracks. The engine of the freight train is 1000 yards ahead of the engine of the passenger train. The end of the caboose of the freight train is 400 yards ahead of the end of the caboose of the passenger train. The freight train is three times as long as the passenger train. How long are the trains? =============================================================== === DISTANCE-12: How long will it take a person to make a journey of 50 miles if he rides half of the time at the rate of 9 miles an hour and walks the rest of the time at 3 1/2 miles an hour? =============================================================== === DISTANCE-13: On no! Buzzy’s powerboat is caught in the current and is being sucked towards the waterfall. The boat can run at 16 mph, but the current is pulling him towards the falls at 9 mph. Buzzy’s motor uses 5 gallons of gas an hour, he has 16 gallons left and the first safe landing is 21 miles back up river. Will he make it? =============================================================== === DISTANCE-14: In my driver’s education class last week, my teacher was talking about driving on the freeway. He said that you should stay 1 car length behind the car in front of you for every 10 miles per hour that you drive. (So if you were driving 60 miles per hour, you should be 6 car lengths behind.) I went home and told my dad, and he said that his driver education teacher told him that he should stay 2 seconds behind the car in front of him. Assuming that a car length is 20 feet and you are traveling 60 miles per hour, how many car lengths behind should you stay, using dad’s 2-second rule? =============================================================== === DISTANCE-15: An outdoor grill uses its gas in 195 minutes when it is on low. It uses 6 about 7 1/2 times as much gas when it is on high. The stove was on low for 30 minutes. How much time remains if the stove must be run on high to boil water? =============================================================== ===DISTANCE-16: Two candles are lit at the same time. One is 12-inches tall and burns 1/2 inch per hour and the other is 6 inches tall and burns 1/4 inch per hour. Which candle will burn down first? Explain your answer? =============================================================== === DISTANCE-17 (CP-91): Colonel Crackham says that his friend, Mr. Wilkinson, walks from his country house into the neighboring town at the rate of five miles per hour, and, because he is a little tired, he makes the return journey a the rate of three miles per hour. The double journey takes him exactly seven hours. Can you tell the distance from his house to the town? RATIONAL NUMBERS CONCEPTS What part of know don’t you understand? FRACTIONS-1 (54-AA): What fraction can you multiply times 2/3 and get an answer of 1? =============================================================== === FRACTIONS-2 (63-AA): One-fourth of the garden was filled with rose bushes. The remaining 12 square feet of the garden were filled with mums. What is the area of the garden? =============================================================== === FRACTIONS-3 (70-AA): One-third of my number is 12. One-fourth of my number is 9. What's my number? =============================================================== === FRACTIONS-4 (74-AA): A dining room has 27 tables. Two-thirds of the tables each have 4 chairs. There are 6 chairs at each of the remaining tables. What is the greatest number of people that can be seated at tables in the dining room? =============================================================== === FRACTIONS-5 (75-AA): What fraction of the perfect squares less than 100 are odd numbers? =============================================================== === FRACTIONS-6 (82-AA): One-seventh of what number is the same as two-thirds of 24? =============================================================== === FRACTIONS-7 (84-AA): Rita's car holds 21 gallons of gasoline when full and 7 averages 16 miles per gallon. The gas tank is 3/4 full. Is there enough gasoline for Rita to drive the 188 miles from Chicago to Indianapolis? =============================================================== === FRACTIONS-8 (94-AA): The number of hours that were left in the day was one- third of the number of hours that had already passed. How many hours were left in the day? =============================================================== === FRACTIONS-9 (72-BB): Mr. and Mrs. Green received a discount of $87 on a new electric stove. The discount was the result of a 1/4 off sale. What was the sale price of the stove? =============================================================== === FRACTIONS-10 (74-BB): There are about 3/4 as many calories in a piece of lemon pie as in a piece of apple pie. If there are 120 more calories in a piece of apple pie, how many calories are in a piece of lemon pie? =============================================================== === FRACTIONS-11 (77-BB): Cut a cake into fourths. Now cut each fourth into three equal pieces. Each piece is what fraction of the cake? =============================================================== === FRACTIONS-12 (88-BB): A recipe for meatloaf serves eight people and uses 3 1/2 pounds of ground meat. How many pounds of ground meat are needed for a meatloaf that will serve twelve people? FRACTIONS-13 (97-BB): A rubber ball is dropped from a height of 100 meters. Each time it hits the ground, it bounces up 3/4 of the height it dropped. How many meters will the ball have traveled when it hits the ground for the fourth time? =============================================================== === FRACTIONS-14 (98-BB): A pizza is cut into five pieces. Four of the pieces are the same size, and the fifth piece is 1/2 the size of each of the others. What fraction of the pizza is the smallest piece? =============================================================== === FRACTIONS-15 (110-BB): Five-eighths of the cars that started the race finished the race. Twenty cars finished. How many cars started the race? =============================================================== === FRACTIONS-16 (126-BB): Ellen said she spent half her money for lunch and half of what was left for a movie. She now has $1.20. How much did she spend for lunch? =============================================================== === FRACTIONS-17 (127-BB): We drove 240 miles in 4 1/3 hours, stopped for 40 minutes for lunch, and then drove 170 miles in 3 1/4 hours. What was our average speed for the total time of the trip? =============================================================== === FRACTIONS-18 (178-BB): The sum of two rational numbers is 25. Their difference is 6. What are the two numbers? =============================================================== 8 === FRACTIONS-19 (185-BB): The sum of two number is 21. The product of the numbers is 110. What is the sum of their reciprocals? =============================================================== === FRACTIONS-20 (A-28): Susan's age this year is a multiple of 3. Next year her age will be a multiple of 4. If
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