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IntroductionGT package Math Olympiad
Math Olympiad 1
Math Olympiad 2
Math Olympiad 3
Week 1: Logical MatchingWeek 2: Reverse ThinkingWeek 3: Addition & Subtraction ShortcutsWeek 4: ComparisonWeek 5: Quiz 1Week 6: Number Sequence (1) Week 7: Multiplication & Division Word ProblemsWeek 8: Counting ProblemsWeek 9: Average ProblemsWeek 10: Quiz 2Week 11: Fractions & Decimals (1)Week 12: Word Problem 1Week 13: Shape CountingWeek 14: MeasurementsWeek 15: Quiz 3Week 16: Number Sequence (2)Week 17: 2-Digit Number SenseWeek 18: Sum & DifferenceWeek 19: Pattern ProblemsWeek 20: Quiz 4Week 21: Money ProblemsWeek 22: Age ProblemsWeek 23: Divisibility Problems (1)Week 24: 3-Digit Number SenseWeek 25: Quiz 5Week 26: Mid-Term ExamWeek 27: Calendar ProblemsWeek 28: Proportion & CorrelationWeek 29: Multiplication & Division ShortcutsWeek 30: Make an EquationWeek 31: Quiz 6Week 32: Distribution & Substitution ProblemsWeek 33: Sum,Difference and MultipleWeek 34: Factors & PrimesWeek 35: Roman NumeralsWeek 36: Quiz 7Week 37: Least & MostWeek 38: GeometryWeek 39: CombinationWeek 40: Word Problem 2Week 41: Quiz 8Week 42: Divisibility Problems (2)Week 43: Fractions & Decimals (2)Week 44: Word Problems 3Week 45: Number ThinkingWeek 46: Quiz 9Week 47: Mixed Integer OperationsWeek 48: More Calulation ShortcutsWeek 49: Multiples & LCMWeek 50: Challenging QuestionsWeek 51: Quiz 10Week 52: Final Exam
Math Olympiad 4
Math Olympiad 5
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WeekTopic and action
Week 8
Counting Problems

Example 1.

1.  What is the natural number comes exactly in the middle between 5 and 15?
Your Answer:
[Correct Answer]:10
Hint:
1) 15 − 5 = 10.
2) Half of 10 is 5.
3) The answer then can be obtained by either (5 + 5) or (15 − 5).

Example 2.

2.  Anne has 9 different pairs of socks in a drawer. How many socks will she need to take out from the drawer in order to make sure to find a pair of socks??
Your Answer:
[Correct Answer]:10
Hint:
Counting the extreme case before having a pair. 9 + 1

Example 3.

3.  There are 8 red balls and 12 green balls in a bag. At most how many balls do you need to pick from the bag in order to make sure that you have balls of different colors?
Your Answer:
[Correct Answer]:13
Hint:
Consider the extreme case when picked all green balls before picking the first red ball.

Example 4.

4.  How many knots are needed to make in order to connect 12 short strings into one long string?
Your Answer:
[Correct Answer]:11
Hint:
Starts with two short strings.

Example 5.

5.  A group of students lined up. Counting from left to right, Hillary is the 4th in line; counting from right to left, Hillary is the 3rd. How many students are there in total?
Your Answer:
[Correct Answer]:6
Hint:
4 + 3 − 1