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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(2)( Week 47 Evaluation)
1.  A map has a scale of 1 cm = 200 km. If two cities are 700 km apart, what is the distance (in cm) on the map between the two cities?
2.  The weight of a box is the same as 6 pounds plus the weight of
1
7
  of the box. How many pounds does the box weigh?
3.  A broken clock loses 10 minutes every hour. If the broken clock and a normal clock are both set at 00:00, what time will the normal clock show when the broken clock reads 00:15 for the 1st time? Express your answer in the format of HH:MM.
4.  There are 16 cars for sale. One half of the cars are red. One fourth of the cars are black. The rest are green. How many cars are green?
5.  A model of a town is 35 inches across. The scale of the model is 3 inches for 502 yards. How many feet is the town across?
6.  16 is to 32 as 18 is to ?
7.  A model race car is 4.8 inches long. It is modeled after a real race car with a scale of 0.4 inch for 1 foot. How long is the real race car (in feet)?
8.  Compare the value of following column A and B:
AB
6 × 105 + 8 × 104 + 1 × 103 + 6 × 1016 × 105 + 8 × 104 + 7 × 103 + 9 × 102 + 9 × 101
1) A > B2) A = B3) A < B4) Unknown
9.  Nancy is making drinks for a party by blending lemonade, orange, and apple juice in a ratio of 9:8:11. If she wants to make a total of 280 cups of the drink, how many cups of orange will be needed?
10.  Helen beats Emily by 5 yards in a 50-yard walk. If they both walk at the same paces, how many yards behind would Emily be in a 300-yard race?



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