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IntroductionGT package Math Olympiad
Math Olympiad 1
Math Olympiad 2
Math Olympiad 3
Math Olympiad 4
Week 1: 7-Segment Display ProblemsWeek 2: Matchstick ProblemsWeek 3: Division & Divisibility (1)Week 4: Caculation ShortcutsWeek 5: Quiz 1Week 6: Word Problem (1)Week 7: Multiples & FactorsWeek 8: Fractions & DecimalsWeek 9: Distance Problems (1)Week 10: Quiz 2Week 11: Roman NumeralsWeek 12: MeasurementWeek 13: Sum, Difference & Multiple (1)Week 14: Least & MostWeek 15: Quiz 3Week 16: Number Sense Week 17: Shape CountingWeek 18: Counting ProblemWeek 19: Fraction & Decimals (2)Week 20: Quiz 4Week 21: Average ProblemsWeek 22: Purchase & Sale Problems Week 23: Number Thinking(1)Week 24: Proportion & Ratio ProblemsWeek 25: Quiz 5Week 26: Mid-Term ExamWeek 27: Number PatternWeek 28: Calendar ProblemWeek 29: Number SequencesWeek 30: Pattern ProblemsWeek 31: Quiz 6Week 32: Age ProblemsWeek 33: Money ProblemWeek 34: Division & Divisibility (2)Week 35: GeometryWeek 36: Quiz 7Week 37: Sum, Difference & Multiple (2)Week 38: Calculation Shortcuts (2)Week 39: Combination ProblemsWeek 40: Percentage ProblemWeek 41: Quiz 8Week 42: Number SubstitutionWeek 43: Work ProblemWeek 44: Word Problems (2)Week 45: Number Thinking2Week 46: Quiz 9Week 47: Proportion & Ratio Problems(2)Week 48: Distance Problems (2)Week 49: Probability & CombinationsWeek 50: Challenge ProblemsWeek 51: Quiz 10Week 52: Final Exam
Math Olympiad 5
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Distance Problems (2)( Week 48 Evaluation)
1.   The length of a train is 210 meters. It is driven at the speed of 30 meters per second. How many seconds will it take for the train to pass a 180-meter long tunnel (from entering to completely exiting from the tunnel)?
2.  Mary starts out at the starting point of a trail at 6 meters per second, and 3 seconds later Tom starts out at the same point at the speed of 9 meters per second. In how many seconds will Tom catch up with Mary?
3.  Tom and Alice start together and race their bikes around a circular trial at constant speeds. It will take Tom 6 minutes to go 1 lap, and it will take Alice 4 minutes for a lap. How long will it take Alice to be exactly 1 lap ahead of Tom (in minutes)?
4.  The length of a bridge is 650 meters. A train crossed the bridge at 300 meters per minute. It took the train 3.5 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters?
5.  Jane was riding her bike to school at 9 MPH. Exactly half way, she got a flat tire on her bike and had to walk to the school for the remaining distance. If she was able to walk at 1 MPH, what was her average speed (in MPH) for the entire trip from home to school?
6.  George and Kevin are biking around a round trail which is 10 miles long. George bikes at 12 mph and Kevin bikes at 10 mph. If both start from the same place and ride in the same direction, how long (in hours) will it take for them to meet again?
7.  Anne and Nancy are biking around a round trail which is 12 miles long. Anne bikes at 11 mph and Nancy bikes at 9 mph. If both start from the same place but ride to different directions, how many minutes will it take for them to meet again?
8.  A train traveling at 40 miles per hour reaches a tunnel which is 8 times as long as the train. If the train takes
111
16
  minutes to completely clear the tunnel, how long is the train in miles? Express your answer as a fraction in lowest terms.
 
9.  If Helen can bike 81 feet in 9 seconds, how many minutes will it take her to bike 1800 yards?
10.  Eric drove his car at 56 mph for the same number of hours as that Richard drove his car at 46 mph. If Eric ended up driving 60 miles more than Richard, how many hours did they drive?



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