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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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Division & Divisibility (2)( Week 34 Evaluation)
1.  Determine which of the following number(s) are divisible by 9. Type the number(s) in the blank, and separate each number with a comma if necessary.
  25918140324647111366
2.  X and Y are positive integers and X is larger than Y. If the remainder of (X ÷ Y) is 8, what is the smallest possible dividend X?
3.  What is the multiple of 11 between 400 and 499 inclusively with the largest digits sum?
4.  What is the multiple of 11 between 500 and 599 inclusively with the smallest digits sum?
5.  Determine which of the following number(s) are divisible by 7. Type the number(s) in the blank, and separate each number with a comma if necessary.
  14757806041141751079
6.  ( ) ÷ 3 = 2...R( ). A natural number(dividend) is divided by 3 with a quotient of 2 and a remainder. What is the smallest possible dividend in the expression?
7.  Which of the following whole numbers is divisible by 441?
A) A whole number that is divisible by 7 and 63;
B) A whole number that is divisible by 49 and 9;
C) A whole number that is divisible by 3 and 147;
D) A whole number that is divisible by 21 and 22;
8.  The school bought a large number of pencils and distributed 6 to each of the students in the school with no pencil left. Which of the following could be the number of the pencils?
A) 1577
B) 1576
C) 1584
D) 1585
E) 1582
9.  If T − 14 is a common multiple for both 9 and 6, what is the next larger common multiple for both 9 and 6?
A) T + 4
B) T − 8
C) T + 1
D) 36
E) T − 5
10.  A certain number of pencils are distributed to students. If each student is given 5 pencils, 3 pencils are left. If each student is given 6 pencils, 6 more pencils are needed. How many pencils are there?



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