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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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Average Problems( Week 21 Evaluation)
1.  The average of a list of 4 numbers was 22. After two numbers were added to the list, the average became 25. What was the average of the two numbers that were added to the list?
2.   Find the sum of 1 + 2 + 3 + 4 + ... + 74 + 75 =?
3.  The average of 8 numbers is 13. Suppose 22 is added the group. What is the new average of all the numbers?
4.  In a group of 10 students with 4 boys and 6 girls, the average weight of the boys is 110 pounds, while the average weight of the girls is 90 pounds. What is the average weight (in pounds) of all the students in the group?
5.   There are 30 marbles in a red bag and 30 marbles in a blue bag. How many marbles need to be moved from the red bag to the blue bag, so that there will be twice as many marbles in the blue bag as in the red bag?
6.  Jessica's average score for the first 4 math exams is 88. The average for all 5 math exams is 90. What is the score of her last math exam?
7.  480 apples are packed in bags. There are 10 apples in each bag. Equal numbers of bags are then put into boxes. If 12 boxes are needed, how many bags are there in each box?
8.  There are 60 people in a group, and there are just enough balloons to distribute 5 balloons to each of them. 30 people want 4 balloons each. How many balloons can be given to each of the remaining people if each of them gets the same number of balloons?
9.  Tom's average score for the first 4 math tests is 87. In order to bring his average up to at least a 90, what will be the lowest possible average of the next 6 tests? Express your answer as a whole number.
10.  Susan's average score in English, math, and science is 65. Her math score is 6 points higher than her English score. Her English score is 3 points higher than her science score. What is her score for math?



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