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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
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Week 4: Fraction & Decimals
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Week 5: Quiz 1Week 6: Solve Equation
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Week 7: Geometry (1)
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Week 8: Counting Problems
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Week 9: Number Calculation
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Week 10: Quiz 2Week 11: Percentage Problems
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Week 12: Distance, Speed & Time
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Week 13: Work Problems
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Week 14: Divisibility and Remainder
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Week 15: Quiz 3Week 16: Least and Most
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Week 17: Word Problems (1)
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Week 18: Number Thinking (1)
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Week 19: Combination & Probability (1)
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Week 20: Quiz 4Week 21: Algebra
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Week 22: Time Problems
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Week 23: Average Problems
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Week 24: Multiple & Factor
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Week 25: Quiz 5Week 26: Mid-Term ExamWeek 27: Ratio Problems
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Week 28: Number Thinking (2)
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Week 29: Data Analysis
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Week 30: Age Problems
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Week 31: Quiz 6Week 32: Number Sequences
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Week 33: Pattern Problem
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Week 34: "Unsolvable" Equations
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Week 35: Money Problems
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Week 36: Quiz 7Week 37: Geometry(2)
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Week 38: Logical Reasoning
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Week 39: Word Problem (2)
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Week 40: Number Thinking (3)
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Week 41: Quiz 8Week 42: Combination & Probability (2)
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Week 43: Distance, Speed & Time (2)
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Week 44: Challenge Geometry Questions
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Week 45: Sum, Difference & Multiple (2)
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Week 46: Quiz 9Week 47: Probability Problems
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Week 48: Distance, Speed & Time (3)
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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 15 Quiz 3)
1.  Michael agreed to paint a room for $300 and a new bike. After he painted a half of the room, he got $60 and the bike. What is the value (in dollars) of the bike?
2.  Alice rides a bicycle to school at the speed of 4 miles per hour (MPH). When returning, she rides at 6 MPH for the same route. What is the average speed in MPH for the round trip?
A) 4.8
B) 6.4
C) 5
D) 2.2
E) 4
3.   A man made a 3-hour up-hill trip at 32 mph (miles per hour). On the return down-hill trip, he traveled at 48 mph. What was the his average speed in mph for the entire trip?
4.  In the final chemistry exam of the semester, 51 of the 60 students received less than 95%. What percentage of students received 95% or greater?
A) 11%
B) 16%
C) 15%
D) 17%
E) 12%
5.  When a whole number is divided by 8, the quotient is 15 and the remainder is 4. What is the whole number?
A) 120
B) 124
C) 127
D) 122
E) 123
6.  If M is divisible by 5 and N is divisible by 7, then their product MN MUST be divisible by each of the following EXCEPT
A) 5
B) 1
C) 7
D) 15
E) 35
7.  A and B are positive integers with A > B. When A is divided by 9, the remainder is 4. When B is divided by 9, the remainder is 2. What is the remainder when A − B is divided by 9?
A) 6
B) 2
C) 3
D) 5
E) 4
8.  S and T are positive integers. When S is divided by 8, the remainder is 4. When T is divided by 8, the remainder is 5. What is the remainder when the product ST is divided by 8?
A) 6
B) 7
C) 5
D) 0
E) 4
9.  How many integers from -900 to 100, inclusive, are divisible by 9?
A) 46
B) 134
C) 200
D) 68
E) 112
10.  A man painted
7
13
  of a house in 3 days. If he continues to work at the same rate, how much more time (in days) will he need to finish painting the rest of the house?
A)
15
7
 
B) 3
C)
12
7
 
D)
24
7
 
E)
6
7
 
11.  Smith is a truck driver. His truck fuel tank was only
1
8
  full when he started to pump gas into the fuel tank. After 155 gallons of gas were pumped into the tank, the fuel tank was
9
10
  full. What is the capacity (in gallons) of the fuel tank?
A) 360
B) 280
C) 200
D) 160
E) 320
12.  If the result of increasing M by 700% of M is N, then M is what percentage of N?
A) 6.5%
B) 20.5%
C) 10.5%
D) 12.5%
E) 8.5%
13.  After a 12% price hike, a popular MP3 is now priced at $84.00. What was he original price of the MP3?
A) $120
B) $45
C) $75
D) $90
E) $135
14.  A store offers a 5% discount in the weekend. If price of an item is $29.45 after discount in the weekend, what is the price of the item in the weekdays?
A) $6.20
B) $18.60
C) $12.40
D) $37.20
E) $31.00
15.  Some roses are put into vases. If each vase holds 5 roses, 3 roses are left. If each vase holds 6 roses, 6 more roses are needed. How many vases are there?



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