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OLSAT B
Reasoning Knowledge
Math Olympiad
Math Olympiad 1
Math Olympiad 2
Math Olympiad 3
Math Olympiad 4
Math Olympiad 5
Week 1: Number Substitution
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Evaluation
Week 2: Measurements
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Evaluation
Week 3: Sum, Difference & Multiple
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Week 4: Fraction & Decimals
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Evaluation
Week 5: Quiz 1
Week 6: Solve Equation
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Evaluation
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 2
Week 11: Percentage Problems
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Week 12: Distance, Speed & Time
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Evaluation
Week 13: Work Problems
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Week 14: Divisibility and Remainder
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Evaluation
Week 15: Quiz 3
Week 16: Least and Most
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Evaluation
Week 17: Word Problems (1)
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Week 18: Number Thinking (1)
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Evaluation
Week 19: Combination & Probability (1)
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Evaluation
Week 20: Quiz 4
Week 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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Evaluation
Week 25: Quiz 5
Week 26: Mid-Term Exam
Week 27: Ratio Problems
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Evaluation
Week 28: Number Thinking (2)
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Evaluation
Week 29: Data Analysis
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Week 30: Age Problems
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Week 31: Quiz 6
Week 32: Number Sequences
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Evaluation
Week 33: Pattern Problem
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Evaluation
Week 34: "Unsolvable" Equations
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Evaluation
Week 35: Money Problems
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Evaluation
Week 36: Quiz 7
Week 37: Geometry(2)
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Evaluation
Week 38: Logical Reasoning
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Week 39: Word Problem (2)
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Evaluation
Week 40: Number Thinking (3)
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Evaluation
Week 41: Quiz 8
Week 42: Combination & Probability (2)
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Evaluation
Week 43: Distance, Speed & Time (2)
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Evaluation
Week 44: Challenge Geometry Questions
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Week 45: Sum, Difference & Multiple (2)
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Evaluation
Week 46: Quiz 9
Week 47: Probability Problems
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Evaluation
Week 48: Distance, Speed & Time (3)
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Week 49: Price & Cost
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Evaluation
Week 50: Challenge Problems
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Week 51: Quiz 10
Week 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
(3♣5)♣6
?
2.
If
a♠b
=
a
2
− ab +
b
2
, what is the value of
(4♠9)♠5
?
3.
If
a♥b
= a + ab +
b
2
, what is the value of
(3♥2)♥4
?
4.
David is 3 times the age of Susan who is 3 years older than Eric. If the total age of the three is 42, how old is Eric?
5.
Observe that definitions:
1⊞2
= 2+3,
2⊞3
= 3+4+5,
3⊞4
= 4+5+6+7,
4⊞5
= 5+6+7+8+9, and
4⊞2
= 5+6. If
x⊞4
= 30, 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 9 hours 8 minutes?
7.
The length of a rectangle is 3 times its width. If the perimeter of the rectangle is 200 inches, what is its length (in inches)?
8.
In a 2-hour test of 210 questions, there are 30 questions on math. Each math question is given 4 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 6.77 ×
10
18
?
A) 3.385 ×
10
9
B) 3.385 ×
10
18
C) 3.385 ×
5
9
D) 6.77 ×
10
9
E) 3.385 ×
5
18
10.
What is half of 1.74 ×
10
13
?
A) 1.74 ×
10
6
B) 8.7 ×
10
6
C) 8.7 ×
10
12
D) 0.87 ×
10
12
E) 8.7 ×
5
13
11.
Which of the following is NOT larger than 0.31?
A)
4
12
B)
3
9
C)
2
7
D)
1
2
E)
2
6
12.
An online store sells a HDTV set with an attractive financial arrangement. A customer only needs to put $100 down and then pays off the balance in 6 months with 6 equal installations of $108.66 each. What is the total cost (in dollars) of the HDTV set?
13.
What fraction of
5
6
is
7
11
?
A)
8
11
B)
39
55
C)
42
55
D)
43
54
E)
41
55
14.
A watermelon that weighs
9
2
3
pounds is cut into 40 equals slices. How much does each slice weigh (in pound)?
A)
7
60
B)
17
60
C)
13
40
D)
49
120
E)
29
120
15.
6
8
−
1
7
= ? Please express the fraction in its lowest terms.
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