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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.  45 + 45 + 45 + 45
A) 45 − 1
B) 165
C) 44 × 5
D) 45 + 4
E) 45 + 1
2.  What is the value of |A − B| + |B − A| if A = -4 and B = -18?
A) 25
B) 26
C) 28
D) 27
E) 0
3.  If S = 4, T = 2 and U = 3, what is the value of S2 − (T − U)2?
A) 17
B) 14
C) 15
D) 6
E) 12
4.  If x = 5 and y = 6, what is the value of 5x(6y − 5x) ?
A) 279
B) 278
C) 275
D) 274
E) 273
5.  P and Q are natural numbers and P + Q = 5. What is the largest possible value of
1
P
  + 
1
Q
  ?
A)
11
5
 
B)
11
4
 
C)
5
6
 
D)
13
4
 
E)
11
2
 
6.  What is the product of (1 + 
1
6
 )(1 + 
1
7
 )(1 + 
1
8
 )(1 + 
1
9
 )(1 + 
1
10
 )(1 + 
1
11
 )?
A)
25
8
 
B)
21
2
 
C) 2
D)
25
7
 
E)
22
3
 
7.  What is the product of (1 − 
1
6
 )(1 − 
1
7
 )(1 − 
1
8
 )(1 − 
1
9
 )(1 − 
1
10
 )(1 − 
1
11
 )(1 − 
1
12
 )?
A)
5
9
 
B)
5
13
 
C)
5
8
 
D)
5
12
 
E)
1
2
 
8.  Deducting a number by
65
6
  and then adding the result by
73
4
  is equivalent to performing which of the following operations on the number?
A) Deducting by
-11
12
 
B) Deducting by
7
12
 
C) Adding by
-11
12
 
D) Deducting by
 −2
3
 
E) Adding by
11
12
 
9.  What is the sum of all two-digit numbers that have at least one digit being 4?
A) 1151
B) 535
C) 711
D) 975
E) 887
10.  5A77B is a five-digit number in which A and B are digits, and the number is divisible by 36 without remainder. A is 4 less than B. Find the value of A = and the value of B = .



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