## 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…

## Operations on Decimals Exercises – Set 2

This is our second set of exercises on operations on decimals.

Perform the indicated operation.

1.) 1.5 + 0.7
2.) 10.5 + 3.08 + 4.026
3.) 0.8 – 0.2
4.) 8.06 – 3.215
5.) 5.7 – 0.9
6.) .22 × .6
7.) 5.02 × 1.2
8.) 8.1 ÷ 0.009
9.) .63 ÷ 30
10.) .7 ÷ .005

## Multiplication and Division of Fractions Exercises – Set 2

Find the product of the following:

1.) $\dfrac{3}{4} \times \dfrac{5}{8}$

2.) $\dfrac{1}{8} \times \dfrac{3}{4} \times \dfrac{2}{3}$

3.) $2 \dfrac{3}{5} \times \dfrac{2}{3}$

4.) $7 \dfrac{5}{6} \times 1 \dfrac{3}{4}$

5.) $7 \times 2 \dfrac{3}{14}$

6.) $\dfrac{2}{3} \div \dfrac{3}{4}$

7.) $15 \div \dfrac{5}{6}$

8.) $\dfrac{3}{8} \div 4$

9.) $1 \dfrac{2}{3} \div \dfrac{4}{5}$

10.) $7 \dfrac{1}{4} \div \dfrac{1}{8}$

## Subtraction of Fractions Exercises – Set 2

Find the difference of the following:

1.) $\dfrac{9}{11} - \dfrac{7}{11}$

2.) $\dfrac{10}{21} - \dfrac{3}{21}$

3.) $\dfrac{40}{15} - \dfrac{10}{15}$

4.) $9 \dfrac{3}{10} - \dfrac{7}{10}$

5.) $\dfrac{1}{2} - \dfrac{1}{5}$

6.) $7 - \dfrac{3}{5}$

7.) $5 \dfrac{7}{8} - \dfrac{3}{4}$

8.) $9 \dfrac{1}{2} - 7 \dfrac{1}{5}$

9.) $6 \dfrac{1}{5} - 2 \dfrac{3}{4}$

10.) $12 \dfrac{1}{6} - 3 \dfrac{1}{2}$

## Addition of Fractions Exercises – Set 2

1.) $\dfrac{1}{7} + \dfrac{2}{7}$

2.) $\dfrac{1}{12} + \dfrac{5}{12}$

3.) $\dfrac{7}{15} + \dfrac{2}{15} + \dfrac{6}{15}$

4.) $\dfrac{1}{3} + \dfrac{1}{4}$

5.) $\dfrac{2}{9} + \dfrac{1}{3}$

6.) $\dfrac{3}{8} + \dfrac{1}{4}$

7.) $8 \dfrac{2}{3} + \dfrac{3}{2}$

8.) $\dfrac{1}{2} + \dfrac{2}{3} + \dfrac{3}{4}$

9.) $7 \dfrac{2}{7} + 6 \dfrac{3}{14}$

10.) $3 \dfrac{1}{4} + 2 \dfrac{1}{8}$

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

2.) $\dfrac{6}{12} = \dfrac{1}{2}$

3.) $\dfrac{15}{15} = 1$

4.) $\dfrac{7}{12}$

Solution:

## LCM and GCD Exercises Set 2

Here are some Civil Service exam exercises on GCD and LCM.

1.) What is the GCD of 8, 20, and 28?

2.) What is the GCD of 21, 35, and 56?

3.) What is 18/54 in lowest terms?

4.) What is 38/95 in lowest terms?

5.) What is the LCM of 6 and 8?

6.) What is the LCM of 5, 6, and 12?

7.) What is the product of the LCM and the GCD of 4, 8, and 20?

8.) There are 18 red marbles and 27 blue marbles to be distributed among children. What is the maximum number of children that can receive the marbles if each kid receives the same number of marbles for each color and no marble is to be left over?

9.) In a school sportsfest, there are 60 Grade 4 pupils, 48 Grade 5 pupils and 36 Grade 6 pupils. What is the largest number of teams that can be formed if the pupils in each Grade level are equally distributed and no pupil is left without a team?

10.) In a disco, the red lights blink every 3 seconds and the blue lights blink every 5 seconds. If the two colored lights blink at the same time if you turn them on, they will blink at the same time every ___ seconds.

## Civil Service Exam Double-word Analogy Reviewer

Here are some multiple-choice Civil Service exam reviewers on Double-word Analogy.

Instruction : Choose the letter that corresponds to the pair of words that is related in the same way as the given pair of words.

1.) buck : doe :: _______ : _______
A.) bitch : pup
B.) grander : duck
C.) bull : cow
D.) boomer : joey

2.) ethics : morality :: _______ : _______
A.) logic : fallacies
B.) biology : animals
C.) apologetics : heresy
D.) epistemology : knowledge

3.) Dante Alighieri : Divina Commedia :: _____ : ______
A.) Charles Darwin : Evolution
B.) Vergil : The Aeneid
C.) Niccolo Machiavelli : The Little Prince
D.) Bram Stoker : Frankenstein

4.) pachyderm : rhinoceros :: _______ : _______
A.) deer : doe
B.) ungulate : yak
C.) elephant : herd
D.) dog : Siberian husky

5.) green : yellow :: _______ : _______
A.) orange : blue
B.) violet : red
C.) brown : purple
D.) gray : orange

## Civil Service Exam Correct Usage Reviewer

Here are some multiple-choice Civil Service exam reviewers on Correct Usage.

Instruction: Choose the letter that corresponds to the word or phrase that will correctly complete each sentence.

1.) The musical play _______ we saw last night was fascinating.
A.) whose
B.) whom
C.) that
D.) since

2.) _______ the four candidates, Margot was chosen to become the school representative.
A.) Between
B.) Among
C.) Meanwhile

3.) I noticed that you don’t look too well. What is it that _______ you?
A.) ails
B.) ales
C.) aisles
D.) isles

4.) My teacher _______ I was absent last time when she _______ the lesson on Tirad Pass.
A.) taught, thought
B.) tot, thawed
C.) thought, taught
D.) thought, teached

5.) The envoy from Latvia handled the affair in a _______ fashion.
A.) discreet
B.) discrete
C.) discretely
D.) discreetly

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