math-tanong ceer 2012 - set 1

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7/24/2012 1

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Set 1 of the Math Supplement for CEER 2012 participants

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Page 1: Math-tanong CEER 2012 - Set 1

7/24/2012

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Page 2: Math-tanong CEER 2012 - Set 1

7/24/2012

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MathMathMathMath----tanongtanongtanongtanong PRACTICEPRACTICEPRACTICEPRACTICE

SET 1

Page 3: Math-tanong CEER 2012 - Set 1

7/24/2012

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How to use this practice setHow to use this practice setHow to use this practice setHow to use this practice set

This set contains ten (10) multiple choice questions. To

make full use of the practice set, do the following;

1. Be ready with your pen and paper.

2. Give yourself FIFTEEN (15) minutes to answer the

entire practice set, with no breaks in between.entire practice set, with no breaks in between.

3. Do not use a calculator or any computing device.

Also, do not skim your reviewers for answers (well,

it will NOT work, anyway).

4. After the time is up, check your answers. The

answers with solutions will be posted the next day.

RELAX… AND GOOD LUCK! ☺☺☺☺

Page 4: Math-tanong CEER 2012 - Set 1

7/24/2012

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Question 1

What is the smallest three-digit number that

leaves a remainder of 1 when divided by 2,

3, and 5?

set 1math-tanong CEER Supplement

(a) 121

(b) 151

(c) 181

(d) 211

Page 5: Math-tanong CEER 2012 - Set 1

7/24/2012

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Question 2

The pie chart above shows the distribution of DVD

rentals from Dibidi Doo Bee shop for a single night. If

250 DVDs were rented that night, how many more

action movies were rented than horror movies?

set 1math-tanong CEER Supplement

(a) 10

(b) 20

(c) 22

(d) 25

Page 6: Math-tanong CEER 2012 - Set 1

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Question 3

Suppose that n and p are integers greater than 1. If 5n is

a perfect square and 75np is a perfect cube, what is the

smallest value of n + p?

set 1math-tanong CEER Supplement

(a) 5 (c) 8

(b) 6 (d) 15

Page 7: Math-tanong CEER 2012 - Set 1

7/24/2012

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Question 4

For real numbers a and b, define the operation

3 2a b b a∗ = −

If , what is the value of X? 2 3 3 X∗ = ∗

set 1math-tanong CEER Supplement

If , what is the value of ? 2 3 3 X∗ = ∗

( ) ( )

( ) ( )

11a 2 c

3

9b d 4

2

Page 8: Math-tanong CEER 2012 - Set 1

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Question 5

A test is composed of 25 questions. The score of an

examinee is obtained by giving him 4 points for each

correct answer and deducting 1 point for each wrong

answer. If an examinee answered all the questions and

obtained a score of 70, how many questions did he obtained a score of 70, how many questions did he

answer correctly?

set 1math-tanong CEER Supplement

(a) 17 (c) 19

(b) 18 (d) 20

Page 9: Math-tanong CEER 2012 - Set 1

7/24/2012

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Question 6

In the figure below, . What is the

value of x?1 2� � �

(a) 40

set 1math-tanong CEER Supplement

(a) 40

(b) 50

(c) 60

(d) 70

Page 10: Math-tanong CEER 2012 - Set 1

7/24/2012

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Question 7

If , what is the value of ? 6 5.43x− = 6 x+

(a) 6.43

set 1math-tanong CEER Supplement

(a) 6.43

(b) 6.57

(c) 17.43

(d) 17.51

Page 11: Math-tanong CEER 2012 - Set 1

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Question 9

Erin calculated the average of 5 numbers to be 38. Then

she found out that she had made an error and had

written 40 for one of the numbers when she should have

written 30. What is the average of the correct 5 numbers?

set 1math-tanong CEER Supplement

(a) 32

(b) 34

(c) 36

(d) 38

Page 12: Math-tanong CEER 2012 - Set 1

7/24/2012

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Question 10

In the diagram, FDCB is a rectangle. Segment ED is 6

units long, segment AB is 10 units long, and the measure

of angle ECD is 60°.What is the length of segment AE?

set 1math-tanong CEER Supplement

( ) ( )

( ) ( )

3a 20 c 20

2

3b d 20 4 3

2

Page 13: Math-tanong CEER 2012 - Set 1

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END OF PRACTICE SET