## Civil Service Math Practice Exercise

1.) Which of the following fractions is smaller than $\dfrac {3}{8}$?

a.) $\dfrac {3}{7}$

b.) $\dfrac {4}{8}$

c.) $\dfrac {3}{9}$

d.) $\dfrac {4}{9}$

2.) What is the value of 1.01 + 0.005 + .08?

a.) 1.14

b.) 1.095

c.) 2.4

d.) 1.0014

3.) Which of the following fractions is equivalent to 37.5%?

a.) $\dfrac {3}{7}$

b.) $\dfrac {3}{8}$

c.) $\dfrac {2}{9}$

d.) $\dfrac {4}{9}$

4.) In the sequences below, 36 and 72 are common numbers to both sequences.

Sequence 1: 12, 24, 36, 48, 60, 72

Sequence 2: 18, 36, 54, 72…

Which of the following numbers are not common to both sequences?

a.) 288

b.) 324

c.) 396

d.) 434

5.) If 2x – 3 = 5, what is the value of 2x – 8?

a.) -10

b.) 0

c.) 5

d.) 10

6.) The sum of five consecutive numbers is 100. What is their average?

a.) 18

b.) 19

c.) 20

d.) 21

7.) What is $-2[(5)^2 - (-3)]$?

a.) -44

b.) 44

c.) -56

d.) 56

8.) Which of the following numbers is not included in the sequence 8, 15, 22, 29, …?

a.) 57

b.) 78

c.) 99

d.) 105

9.) Joan is five times as old as Josie.  In three years, the sum of their ages will be 48. How old is Josie?

a.) 6

b.) 12

c.) 30

d.) 35

10.) There are 35 boys in a class.  This is 3 more than 4 times the number of girls. How many girls are there in a class?

a.) 8

b.) 11

c.) 16

d.) 32

11.) A tarpaulin 4 feet wide by 6 feet high is enlarged such that the new width is 12. What should be the height of the new poster to maintain the ratio?

a.) 10

b.) 12

c.) 16

d.) 32

12.) In the figure below, what is the area of the shaded region if the dimensions of the rectangle are 2 by 8 centimetres?

a.) $16 - 2\pi$

b.) $12 - 2\pi$

c.) $8 - 2\pi$

d.) $8 - \pi$

13.) Five times a number divided by three is equal to 8 more than that number. What is the number?

a.) 8

b.) 11

c.) 12

d.) 16

14.) Which of the following fractions is equal to 0.875?

a.) $\dfrac {4}{5}$

b.) $\dfrac {5}{6}$

c.) $\dfrac {5}{8}$

d.) $\dfrac {7}{8}$

15.) In a Student Council election in Kalayaan High School, 30% of the students voted for Michael as president, while 25% voted for Hannah. If there are 2300 students in the school, how many students did not vote for Michael and Hannah?

a.) 575

b.) 690

c.) 1035

d.) 1265

16.) What is $\dfrac {2}{5}$ of $\dfrac {3}{4}$ of 100?

a.) 25

b.) 30

c.) 40

d.) 75

17.) A rectangular box has dimensions 12 by 8 by 10. What is the total length in units of its edges?

a.) 30

b.) 60

c.) 120

d.) 960

18.) Arman bought a t-shirt for P 336.00 for a 30% discount. What is the original price of the t-shirt?

a.) P144.00

b.) P235.20

c.) P436.80

d.) P480.00

19.) What is 2 – [3 – ( 5)]?

a.) -16

b.) -6

c.) 4

d.) 6

20.) The length of a rectangle is 5 more than twice its width. If the perimeter is 136 centimeter, what is it length?

a.) 21

b.) 25

c.) 42

d.) 47

1.) c

2.) b

3.) b

4.) c

5.) b

6.) c

7.) c

8.) d

9.) d

10.) a

11.) d

12.) a

13.) c

14.) c

15.) c

16.) b

17.) c

18.) d

19.) b

20.) d

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