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IntroductionGT package Math Olympiad
Math Olympiad 1
Math Olympiad 2
Math Olympiad 3
Math Olympiad 4
Math Olympiad 5
Week 1: Number SubstitutionWeek 2: MeasurementsWeek 3: Sum, Difference & MultipleWeek 4: Fraction & DecimalsWeek 5: Quiz 1Week 6: Solve EquationWeek 7: Geometry (1)Week 8: Counting ProblemsWeek 9: Number CalculationWeek 10: Quiz 2Week 11: Percentage ProblemsWeek 12: Distance, Speed & TimeWeek 13: Work ProblemsWeek 14: Divisibility and RemainderWeek 15: Quiz 3Week 16: Least and MostWeek 17: Word Problems (1)Week 18: Number Thinking (1)Week 19: Combination & Probability (1)Week 20: Quiz 4Week 21: AlgebraWeek 22: Time ProblemsWeek 23: Average ProblemsWeek 24: Multiple & FactorWeek 25: Quiz 5Week 26: Mid-Term ExamWeek 27: Ratio ProblemsWeek 28: Number Thinking (2)Week 29: Data AnalysisWeek 30: Age ProblemsWeek 31: Quiz 6Week 32: Number SequencesWeek 33: Pattern ProblemWeek 34: "Unsolvable" EquationsWeek 35: Money ProblemsWeek 36: Quiz 7Week 37: Geometry(2)Week 38: Logical ReasoningWeek 39: Word Problem (2)Week 40: Number Thinking (3)Week 41: Quiz 8Week 42: Combination & Probability (2)Week 43: Distance, Speed & Time (2)Week 44: Challenge Geometry Questions Week 45: Sum, Difference & Multiple (2)Week 46: Quiz 9Week 47: Probability ProblemsWeek 48: Distance, Speed & Time (3)Week 49: Price & CostWeek 50: Challenge ProblemsWeek 51: Quiz 10Week 52: Final Exam
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Distance, Speed & Time( Week 12 Evaluation)
1.  Eric took a 22.5-mile biking trip in 1.5 hours. What was his average speed in feet per minute? Note that 1 mile = 5280 feet.
2.  Kevin rode his bike to a baseball practice at 15 mph. On his way home, he only pedaled at 10 mph. What was his average speed (in mph) for the entire trip?
3.  A police officer is chasing a speeding driver who is driving at 85 MPH. The officer is 1.5 miles behind the speeding car and he travels at 89 MPH. How many minutes will it take for the officer to catch up the speeding car?
4.  Helen and her father rode a tandem bicycle in a trail. In the first half of the distance, she pedaled, her dad rest, and the tandem bicycle traveled at 8 MPH. In the second half of the distance, she rest, her dad pedaled, and the tandem bicycle traveled at 12 MPH. How much was the average speed (in MPH) for the entire distance?
5.  Helen and Emily compete in a 7.5-mile bicycle trail. Helen bikes at 12.5 MPH, and Emily bikes at 11.5 MPH. How far (in miles) is Emily behind Helen when Helen reaches the finish line?
6.  Nick runs 4 meters every second. Nancy runs 3.5 meters every second. Nick let Nancy start a race 25 meters ahead of him, and reached the finish line 9 seconds before Nancy did. How many meters did Nick run in the race?
7.  Two cars started from the same place at the same time, but they headed in opposite directions. The faster car traveled 10 miles per hour faster than the slower car. At the end of 3 hours, they were 270 miles apart. How many miles had the faster car traveled by the end of 3 hours?
8.  In an one-mile running race, Jennifer was able to run at 7 MPH for the 1st half, but was only able to run at 3 MPH for the remaining half. What was her average speed (in MPH) for the entire race?
9.  A faster train travels at 47 meters per second, and its length is 390 meters. A slower train travels at 37 meters per second, and its length is 480 meters. If they both start head by head in the same direction, how long will it take for the faster train to completely pass the slower train? Fill your answer (in seconds) in the following blank: seconds. If they both start tail by tail at the same direction, how long will it take for the faster train to completely pass the slower train? Fill your answer (in seconds) in the following blank: seconds.
10.  There is a circular running track which is 414 meters long. Michael and Niconia started out at the same time from the same place on the track but ran in opposite directions. After 1 minute, they met for the first time. If they start out from the same place at the same time in the same direction, they will meet for the first time after 9 minutes. Michael is faster than Niconia, and both run at constant speeds. What is the speed of Michael? meter/minute. What is the speed of Niconia? meter/minute.



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