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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 Substitution
PracticeEvaluation
Week 2: Measurements
PracticeEvaluation
Week 3: Sum, Difference & Multiple
PracticeEvaluation
Week 4: Fraction & Decimals
PracticeEvaluation
Week 5: Quiz 1Week 6: Solve Equation
PracticeEvaluation
Week 7: Geometry (1)
PracticeEvaluation
Week 8: Counting Problems
PracticeEvaluation
Week 9: Number Calculation
PracticeEvaluation
Week 10: Quiz 2Week 11: Percentage Problems
PracticeEvaluation
Week 12: Distance, Speed & Time
PracticeEvaluation
Week 13: Work Problems
PracticeEvaluation
Week 14: Divisibility and Remainder
PracticeEvaluation
Week 15: Quiz 3Week 16: Least and Most
PracticeEvaluation
Week 17: Word Problems (1)
PracticeEvaluation
Week 18: Number Thinking (1)
PracticeEvaluation
Week 19: Combination & Probability (1)
PracticeEvaluation
Week 20: Quiz 4Week 21: Algebra
PracticeEvaluation
Week 22: Time Problems
PracticeEvaluation
Week 23: Average Problems
PracticeEvaluation
Week 24: Multiple & Factor
PracticeEvaluation
Week 25: Quiz 5Week 26: Mid-Term ExamWeek 27: Ratio Problems
PracticeEvaluation
Week 28: Number Thinking (2)
PracticeEvaluation
Week 29: Data Analysis
PracticeEvaluation
Week 30: Age Problems
PracticeEvaluation
Week 31: Quiz 6Week 32: Number Sequences
PracticeEvaluation
Week 33: Pattern Problem
PracticeEvaluation
Week 34: "Unsolvable" Equations
PracticeEvaluation
Week 35: Money Problems
PracticeEvaluation
Week 36: Quiz 7Week 37: Geometry(2)
PracticeEvaluation
Week 38: Logical Reasoning
PracticeEvaluation
Week 39: Word Problem (2)
PracticeEvaluation
Week 40: Number Thinking (3)
PracticeEvaluation
Week 41: Quiz 8Week 42: Combination & Probability (2)
PracticeEvaluation
Week 43: Distance, Speed & Time (2)
PracticeEvaluation
Week 44: Challenge Geometry Questions
PracticeEvaluation
Week 45: Sum, Difference & Multiple (2)
PracticeEvaluation
Week 46: Quiz 9Week 47: Probability Problems
PracticeEvaluation
Week 48: Distance, Speed & Time (3)
PracticeEvaluation
Week 49: Price & Cost
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Week 50: Challenge Problems
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Week 51: Quiz 10Week 52: Final Exam
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Math Olympiad 5( Week 5 Quiz 1)
1.  If a♣b = |a − 2b|, what is the value of (9♣10)♣7?
2.  If a♠b = a2 − ab + b2, what is the value of (7♠4)♠5?
3.  If a♥b = a + ab + b2, what is the value of (2♥4)♥5?
4.  Anne is 7 times the age of Kevin who is 3 years older than Nancy. If the total age of the three is 60, how old is Nancy?
5.  Observe that definitions: 1⊞2 = 1+2, 2⊞3 = 2+3+4, 3⊞4 = 3+4+5+6, 4⊞5 = 4+5+6+7+8, and 4⊞2 = 4+5. If x⊞2 = 19, what is x?
6.  There are 24 hours a day, 60 minutes in an hour and 60 seconds in a minute. There are even smaller time units, such as millisecond (10 −3 second), microsecond (10 −6 second), nanosecond (10 −9 second). How many seconds are in 2 hours 16 minutes?
7.  The length of a rectangle is 4.5 times its width. If the perimeter of the rectangle is 154 inches, what is its length (in inches)?
8.  In a 2-hour test of 180 questions, there are 60 questions on math. Each math question is given 3 times as much time to answer as each of the other questions. How much time is allotted to all the math questions (in minutes)?
9.  What is half of 8.04 × 1016?
A) 4.02 × 516
B) 4.02 × 1016
C) 4.02 × 58
D) 4.02 × 108
E) 8.04 × 108
10.  What is half of 1.55 × 1011?
A) 7.75 × 1010
B) 0.775 × 1010
C) 1.55 × 105
D) 7.75 × 511
E) 7.75 × 105
11.  Which of the following is NOT larger than 0.13?
A)
1
6
 
B)
2
14
 
C)
4
30
 
D)
3
22
 
E)
3
24
 
12.  An online store sells a HDTV set with an attractive financial arrangement. A customer only needs to put $140 down and then pays off the balance in 8 months with 8 equal installations of $70.12 each. What is the total cost (in dollars) of the HDTV set?
13.  What fraction of
4
5
  is
2
5
 ?
A)
3
5
 
B)
11
20
 
C)
1
2
 
D)
11
19
 
E)
13
20
 
14.  A watermelon that weighs
101
8
  pounds is cut into 50 equals slices. How much does each slice weigh (in pound)?
A)
81
400
 
B)
29
80
 
C)
129
400
 
D)
13
80
 
E)
49
400
 
15.  
7
8
  − 
4
9
  = ? Please express the fraction in its lowest terms.
 



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