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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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Proportion & Ratio Problems( Week 24 Evaluation)
1.  7 is to 16 as 21 is to .
2.  If
46
8
  =
X
40
 , what is X?
3.  36 gallons of water were poured into an empty tank and filled
1
6
  of the tank. How many gallons does a full tank hold?
4.  Helen is going to take a test including 170 questions. Each question counts the same points. If she wants a grade of 90 over 100, how many correct answers must she get?
5.  A family gives allowance based on the ages of the children each week. The age (years) to the allowance (in dollars) is 4:7. How much allowance would a 8-year old receive each week? $
6.  The ratio of boys to girls in a school is 9:8. If there are 272 children in the school, how many are boys?
7.  A tank full with water weighs 16.6 kilograms. When half of the water in the tank is poured out,the tank and the remaining water weighs 9.7 kilograms. How much does the tank weigh in kilograms?
8.  12 people purchased supplies for a 8-day camping trip to an island. Each of them is assumed to get an equal share of daily supples. They are then joined by another 4 people, whose supplies were lost in the storm on the way to the island. How long will the supplies last if the original daily share for each person is not changed?
9.  A tank is filled with water. When one-half of water is poured out, the tank and the remaining water weigh 10.1 kilograms. When half of the remaining water is poured out, the tank and the remaining water weigh 6.6 kilograms. How much does the tank weigh in kilograms?
10.  A tank is filled with water. When one-half of water is poured out, the tank and the remaining water weigh 8.3 kilograms. When half of the remaining water is poured out, the tank and the remaining water weigh 5.7 kilograms. How much does the tank filled with water weigh in kilograms?



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