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7/29/2012 1

Math-tanong CEER 2012 - Set 2

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7/29/2012

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7/29/2012

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MathMathMathMath----tanongtanongtanongtanong PRACTICEPRACTICEPRACTICEPRACTICE

SET 2

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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! ☺☺☺☺

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Question 1

A fruit salad contains a mixture of apples, peaches, and

pineapples in the ratio 5:3:2, respectively, by weight.

What fraction of the entire mixture by weight are apples

and peaches combined?

set 2math-tanong CEER Supplement

( ) ( )

( ) ( )

2 7a c

5 10

3 4b d

10 5

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Question 2

If a, b and c are nonzero real numbers and

a + b = c, which of the following is equal to 1?

− −

set 2math-tanong CEER Supplement

( ) ( )

( ) ( )

a c

b d

a b b a

c c

b c c b

a a

− −

− −

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Question 3

Ruby can roast 9 kamote in 90 minutes, while

Sarah can roast 12 kamote in one hour. If Ruby

and Sarah work together, how many minutes will

it take them to roast two kamote?it take them to roast two ?

set 2math-tanong CEER Supplement

( ) ( )

( ) ( )

1 2a 3 c 6

3 3

b 4 d 8

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Question 4

The first four pentagonal numbers are shown.

The numbers are calculated by counting the dots.

Based on the indicated pattern, what is the sixth

pentagonal number?pentagonal number?

set 2math-tanong CEER Supplement

(a) 35

(b) 51

(c) 70

(d) 92

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Question 6

In the rectangle shown, is of m EAD∠4

5m AED∠

What is ?m ABC m ADC∠ + ∠

set 2math-tanong CEER Supplement

(a) 220°

(b) 230°

(c) 240°

(d) 250°

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Question 7

In the diagram, the length of a side of square ABCD

is 4 units. A circle with center O is inscribed in the

square. What is the area of the shaded region?

( )a 4 − π

set 2math-tanong CEER Supplement

( )

( )

( )

( )

a 4

b 4 4

c 16 4

c 16

− π

− π

− π

π

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9 12 2

90 60

3 2

10

x

x

+ =

=10

3 20

20 26

3 3

x

x

x

=

= =

(a) 121

(b) 151

(c) 181

(d) 211

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END OF PRACTICE SET