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IntroductionGT package Math Olympiad
Math Olympiad 1
Math Olympiad 2
Math Olympiad 3
Math Olympiad 4
Math Olympiad 5
Week 1: Number SubstitutionWeek 2: MeasurementsWeek 3: Sum, Difference & MultipleWeek 4: Fraction & DecimalsWeek 5: Quiz 1Week 6: Solve EquationWeek 7: Geometry (1)Week 8: Counting ProblemsWeek 9: Number CalculationWeek 10: Quiz 2Week 11: Percentage ProblemsWeek 12: Distance, Speed & TimeWeek 13: Work ProblemsWeek 14: Divisibility and RemainderWeek 15: Quiz 3Week 16: Least and MostWeek 17: Word Problems (1)Week 18: Number Thinking (1)Week 19: Combination & Probability (1)Week 20: Quiz 4Week 21: AlgebraWeek 22: Time ProblemsWeek 23: Average ProblemsWeek 24: Multiple & FactorWeek 25: Quiz 5Week 26: Mid-Term ExamWeek 27: Ratio ProblemsWeek 28: Number Thinking (2)Week 29: Data AnalysisWeek 30: Age ProblemsWeek 31: Quiz 6Week 32: Number SequencesWeek 33: Pattern ProblemWeek 34: "Unsolvable" EquationsWeek 35: Money ProblemsWeek 36: Quiz 7Week 37: Geometry(2)Week 38: Logical ReasoningWeek 39: Word Problem (2)Week 40: Number Thinking (3)Week 41: Quiz 8Week 42: Combination & Probability (2)Week 43: Distance, Speed & Time (2)Week 44: Challenge Geometry Questions Week 45: Sum, Difference & Multiple (2)Week 46: Quiz 9Week 47: Probability ProblemsWeek 48: Distance, Speed & Time (3)Week 49: Price & CostWeek 50: Challenge ProblemsWeek 51: Quiz 10Week 52: Final Exam
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Number Calculation( Week 9 Evaluation)
1.  36 + 36 + 36
A) 36 + 1
B) 36 + 3
C) 96
D) 33 × 6
E) 36 − 1
2.  What is the value of |A − B| + |B − A| if A = -6 and B = -11?
A) 10
B) 0
C) 8
D) 7
E) 9
3.  If S = 2, T = -1 and U = -3, what is the value of S2 − (T − U)2?
A) -7
B) 2
C) -3
D) 0
E) -1
4.  If x = 4 and y = 3, what is the value of 4x(4y − 5x) ?
A) -124
B) -125
C) -128
D) -129
E) -130
5.  P and Q are natural numbers and P + Q = 15. What is the largest possible value of
1
P
  + 
1
Q
  ?
A)
11
16
 
B)
15
14
 
C)
11
13
 
D)
15
56
 
E)
11
14
 
6.  What is the product of (1 + 
1
5
 )(1 + 
1
6
 )(1 + 
1
7
 )(1 + 
1
8
 )(1 + 
1
9
 )(1 + 
1
10
 )?
A)
21
5
 
B)
22
3
 
C)
27
9
 
D)
26
7
 
E)
21
8
 
7.  What is the product of (1 − 
1
5
 )(1 − 
1
6
 )(1 − 
1
7
 )(1 − 
1
8
 )(1 − 
1
9
 )(1 − 
1
10
 )(1 − 
1
11
 )?
A)
4
15
 
B)
1
3
 
C)
2
7
 
D)
4
13
 
E)
4
11
 
8.  Deducting a number by
93
4
  and then adding the result by
105
6
  is equivalent to performing which of the following operations on the number?
A) Deducting by
7
12
 
B) Adding by
11
12
 
C) Deducting by
11
12
 
D) Adding by
 −1
2
 
E) Adding by
11
12
 
9.  What is the sum of all two-digit numbers that have at least one digit being 8?
A) 1279
B) 1406
C) 1660
D) 1025
E) 1787
10.  1A73B is a five-digit number in which A and B are digits, and the number is divisible by 36 without remainder. A is 3 more than B. Find the value of A = and the value of B = .



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