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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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Work Problem( Week 43 Evaluation)
1.  Ben and his brother made some money by working during the summer. Ben earned $10 more than 3 times of what his brother earned. If the total amount they earned was $410, how much money did Ben earn (in dollars)?
2.  George was paid $8 per hour plus a bonus of $10.50 per day. On a certain day George was paid $66.50. How many hours did he work on that day?
3.  John was paid $8.50 per hour plus a bonus of $19.50 a day if he works more than 3 hour for the day. On a certain day John was paid $70.50. How many hours did he work on that day?
4.   George can mow 576 square feet of grass in 12 minutes. At this rate, how many hours would it take for him to mow 480 square yards of grass?
5.  A team of 20 people completed half of a task in 28 days. How many days will it take a team of 8 people to complete the remaining half of the task? Assume that each person works at the same rate.
6.  Tom planned to work after school. If he worked 10 weeks, he would earn $226 and a trip to Disney. If he worked 6 weeks at the fixed weekly rate, he would earn $110 and the trip. What was the fixed weekly rate (in dollars) for the job?
7.   Water flows from a faucet at a constant flow rate. It took 2 seconds for the faucet to fill a 6-liter tank. How many minutes will it take to fill a 9-cubic-meter tank?
8.  Alice and Michael each wanted to buy the same kind of bike. After they checked their allowance, they found that Alice still needed $26 and Michael still needed $12. If they combined their allowance together, they still do not have enough. What is the maximum possible cost of the bike in dollars?
9.  Tom can paint a room in 4 hours, and his sister Alice can paint it in 5 hours. If both of them paint together, how many hours will it take them to paint the room? (Express your answer as a mixed number in the lowest terms).
 
10.  Kevin needs 1 hour to do a certain job while David can do the same job in
1
2
  hour. How many minutes will it take them to do the job together?



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