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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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Week 3: Sum, Difference & Multiple
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Week 4: Fraction & Decimals
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Week 5: Quiz 1
Week 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 2
Week 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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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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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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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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Week 34: "Unsolvable" Equations
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Week 35: Money Problems
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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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Week 40: Number Thinking (3)
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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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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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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♣7)♣6
?
2.
If
a♠b
=
a
2
− ab +
b
2
, what is the value of
(3♠2)♠1
?
3.
If
a♥b
= a + ab +
b
2
, what is the value of
(4♥3)♥2
?
4.
Jane is 6 times the age of Ben who is 6 years older than Jennifer. If the total age of the three is 66, how old is Jennifer?
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⊞3
= 24, 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 1 hour 45 minutes?
7.
The length of a rectangle is 5 times its width. If the perimeter of the rectangle is 300 inches, what is its length (in inches)?
8.
In a 3-hour test of 255 questions, there are 15 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 4.7 ×
10
18
?
A) 2.35 ×
5
18
B) 2.35 ×
10
9
C) 2.35 ×
10
18
D) 2.35 ×
5
9
E) 4.7 ×
10
9
10.
What is half of 1.45 ×
10
9
?
A) 1.45 ×
10
4
B) 7.25 ×
10
4
C) 0.725 ×
10
8
D) 7.25 ×
10
8
E) 7.25 ×
5
9
11.
Which of the following is NOT larger than 0.18?
A)
1
5
B)
3
16
C)
4
21
D)
2
12
E)
2
10
12.
An online store sells a HDTV set with an attractive financial arrangement. A customer only needs to put $150 down and then pays off the balance in 10 months with 10 equal installations of $69.20 each. What is the total cost (in dollars) of the HDTV set?
13.
What fraction of
4
5
is
2
5
?
A)
1
2
B)
11
19
C)
13
20
D)
2
5
E)
9
20
14.
A watermelon that weighs
9
1
5
pounds is cut into 40 equals slices. How much does each slice weigh (in pound)?
A)
11
40
B)
23
100
C)
8
25
D)
41
100
E)
19
200
15.
7
11
−
4
12
= ? Please express the fraction in its lowest terms.
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