This article will discussed on the Numerical category of the Civil Service Exam. You will be provided with sample Numerical Reasoning practice test and Math Word Problems in the next post.
The Civil Service exam also involves logical sequence in the Numerical category. The key to getting good score in this type of test is to find the correct pattern and determine the next number in the sequence. Commonly this test involves the basic mathematical operations such as addition, subtraction, multiplication and/or division, but not limited to those operations.
DIRECTION: Each item section contains a series of numbers arranged according to a certain rule or order. Study the series and determine which number is next. You may use the margin of the page for your computations. On your Answer Sheet, shade completely the box that corresponds to your answer.
1) 1 3 6 10 15 21 28 __.
1. 32
2. 33
3. 35
4. 36
Answer: [4] : 1+2 = 3+3 = 6+4 = 10+5 = 15+6 = 21+7 = 28+8 = 36
2) 97 16 81 12 69 8 61 __.
1. 2
2. 8
3. 6
4. 4
Answer: [4] : 16 - 4 = 12 - 4 = 8 - 4 = 4
3) 200 20 220 22 242 24.2 __.
1. 248
2. 252.2
3. 256.2
4. 260
5. 266.2
Answer: [5] : 200 + 20 = 220 + 22 = 242 + 24.2 = 266.2
4) 1.21 1.44 1.69 1.96 2.25 2.56 __.
1. 2.89
2. 2.95
3. 3.12
4. 3.24
5. 4.28
Answer: [1] : (1.1)^2=1.21 , (1.2)^2=1.44 , (1.3)^2=1.69 , ... , (1.7)^2=2.89
Note: The caret symbol (^) denotes exponentiation. For example: (2)^2 means 2 square or 2 to the power of 2.
5) 128 320 64 160 32 80 16 __.
1. 20
2. 30
3. 40
4. 50
5. 60
Answer: [3] : 320/2 = 160, 160/2 = 80, 80/2 = 40
6) 4/5 1 1/4 3/5 12/3 2/5 2 1/2 1/5 __.
1. 1 1/2
2. 3
3. 4 1/4
4. 5
5. 5 1/5
Answer: [1]
7) 15 51 16 61 19 91 24 42 31 __.
1. 13
2. 27
3. 32
4. 49
5. 52
Answer: [1]
8) 1 1/4 4/16 16/64 __.
1. 64/192
2. 64/256
3. 32/130
4. 64/512
5. 60/102
Answer: [2]
9) 7 14 41 82 28 56 __.
1. 59
2. 63
3. 65
4. 69
5. 75
Answer: [3]
10) 1 1 2 8 3 27 4 64 5 __.
1. 75
2. 105
3. 125
4. 235
5. 250
Answer: [3]
11) 9 6 18 15 45 42 126 __.
1. 123
2. 129
3. 375
4. 378
5. 420
Answer: [1]
12) 1/3 1/6 3/6 3/12 9/12 __.
1. 9/18
2. 12/18
3. 9/24
4. 13/24
5. 11/24
Answer: [3]
13) 0.456 0.228 0.114 0.057 __.
1. 0.0285
2. 0.0460
3. 0.0740
4. 0.0872
5. 0.0960
Answer: [1]
14) 2 3 9 4 5 25 6 7 __.
1. 9
2. 49
3. 27
4. 53
5. 43
Answer: [2]
15) 3/7 8/4 5/9 7/11 12/8 __.
1. 9/13
2. 12/8
3. 14/10
4. 12/9
5. 11/15
Answer: [1]
Answer: [2]
Answer: [5]
Answer: [5]
Answer: [3]
1. 3750
Answer: [2]
Answer: [4]
Answer: [3]
Answer: [3]
Read also the post on Civil Service Exam Reviewer for Mathematics (Word Problems).
However, bear in mind that the use of calculator is not allowed during the exam, so you better practice and enhance your basic mathematical skills, such as addition, subtraction, multiplication and division, which involves integers (whole numbers i.e., -2, 0, 5), decimals (i.e., 0.1, -3.04) and fractions (1/2 , -2/3 , 2 3/4).
With respect to the math word problems, it is tackled in the next post.
Number Sequence
The Civil Service exam also involves logical sequence in the Numerical category. The key to getting good score in this type of test is to find the correct pattern and determine the next number in the sequence. Commonly this test involves the basic mathematical operations such as addition, subtraction, multiplication and/or division, but not limited to those operations.
DIRECTION: Each item section contains a series of numbers arranged according to a certain rule or order. Study the series and determine which number is next. You may use the margin of the page for your computations. On your Answer Sheet, shade completely the box that corresponds to your answer.
1) 1 3 6 10 15 21 28 __.
1. 32
2. 33
3. 35
4. 36
Answer: [4] : 1+2 = 3+3 = 6+4 = 10+5 = 15+6 = 21+7 = 28+8 = 36
2) 97 16 81 12 69 8 61 __.
1. 2
2. 8
3. 6
4. 4
Answer: [4] : 16 - 4 = 12 - 4 = 8 - 4 = 4
3) 200 20 220 22 242 24.2 __.
1. 248
2. 252.2
3. 256.2
4. 260
5. 266.2
Answer: [5] : 200 + 20 = 220 + 22 = 242 + 24.2 = 266.2
4) 1.21 1.44 1.69 1.96 2.25 2.56 __.
1. 2.89
2. 2.95
3. 3.12
4. 3.24
5. 4.28
Answer: [1] : (1.1)^2=1.21 , (1.2)^2=1.44 , (1.3)^2=1.69 , ... , (1.7)^2=2.89
Note: The caret symbol (^) denotes exponentiation. For example: (2)^2 means 2 square or 2 to the power of 2.
5) 128 320 64 160 32 80 16 __.
1. 20
2. 30
3. 40
4. 50
5. 60
Answer: [3] : 320/2 = 160, 160/2 = 80, 80/2 = 40
6) 4/5 1 1/4 3/5 12/3 2/5 2 1/2 1/5 __.
1. 1 1/2
2. 3
3. 4 1/4
4. 5
5. 5 1/5
Answer: [1]
7) 15 51 16 61 19 91 24 42 31 __.
1. 13
2. 27
3. 32
4. 49
5. 52
Answer: [1]
8) 1 1/4 4/16 16/64 __.
1. 64/192
2. 64/256
3. 32/130
4. 64/512
5. 60/102
Answer: [2]
9) 7 14 41 82 28 56 __.
1. 59
2. 63
3. 65
4. 69
5. 75
Answer: [3]
10) 1 1 2 8 3 27 4 64 5 __.
1. 75
2. 105
3. 125
4. 235
5. 250
Answer: [3]
11) 9 6 18 15 45 42 126 __.
1. 123
2. 129
3. 375
4. 378
5. 420
Answer: [1]
12) 1/3 1/6 3/6 3/12 9/12 __.
1. 9/18
2. 12/18
3. 9/24
4. 13/24
5. 11/24
Answer: [3]
13) 0.456 0.228 0.114 0.057 __.
1. 0.0285
2. 0.0460
3. 0.0740
4. 0.0872
5. 0.0960
Answer: [1]
14) 2 3 9 4 5 25 6 7 __.
1. 9
2. 49
3. 27
4. 53
5. 43
Answer: [2]
15) 3/7 8/4 5/9 7/11 12/8 __.
1. 9/13
2. 12/8
3. 14/10
4. 12/9
5. 11/15
Answer: [1]
16) 9.12 18.13 16.15 13.18 9.22 __________
1. 3.25
2. 4.27
3. 5.23
4. 6.29
5. 5.26
Answer: [2]
17) 1 4 13 40 121 364 __________
1. 623
2. 719
3. 865
4. 997
5. 1093
Answer: [5]
18) 5 17 19 6 14 16 7 10 12 8 _________
1. 17
2. 15
3. 11
4. 9
5. 5
Answer: [5]
19) 795 2611 684 2722 573 2833 __________
1. 543
2. 484
3. 462
4. 446
5. -426
Answer: [3]
20) -6 30 -150 750 __________
1. 3750
2. 2250
3. -1500
4. -2250
5. -3750
Answer: [5]
21. 1/3 3/9 5/15 7/21 9/27 __________
1. 11/35
2. 11/33
3. 9/29
4. 8/25
5. 4/13
Answer: [2]
22) 4 16 8 40 20 120 60 420 __________
1. 480
2. 360
3. 240
4. 210
5. 140
Answer: [4]
23) 2 5 8 10 4 17 5 26 6 __________
1. 40
2. 38
3. 37
4. 35
5. 33
Answer: [3]
24) .02 .06 .12 .20 .30 __________
1. 0.36
2. .40
3. .42
4. .46
5. .48
Answer: [3]
25) 2 5 12.5 31.25 __________
1. 33.75
2. 43.25
3. 50.75
4. 78.125
5. 82.125
Answer: [4]
26) AZ CX EV GT __________
1. IR KP
2. IR KQ
3. IP KO
4. IS KO
Answer: [4]
26) AZ CX EV GT __________
1. IR KP
2. IR KQ
3. IP KO
4. IS KO
5. IS KP
Answer: [1]
27) A5 D25 G125 J625 M3125 __________
1. P15525
2. P15625
3. O15525
4. O15625
Answer: [1]
27) A5 D25 G125 J625 M3125 __________
1. P15525
2. P15625
3. O15525
4. O15625
5. O16525
Answer: [2]
28) 16 is multiplied by 10 to the fifth power is?
1. 1,600,000
2. 160,000
3. 16,000
4. 0.000016
28) 16 is multiplied by 10 to the fifth power is?
1. 1,600,000
2. 160,000
3. 16,000
4. 0.000016
5. 0.0000016
Answer: [1]
29) If x=4, find the value of y in the equation: 4y – 2x = 16.
1. -6
2. -9
3. 4
4. 9
5. 6
Answer: [5]
30) Find the value of x if y= 6 in the equation: 2x + 4y = 30 + y
1. 5
2. 3
3. 6
4. -5
Answer: [1]
29) If x=4, find the value of y in the equation: 4y – 2x = 16.
1. -6
2. -9
3. 4
4. 9
5. 6
Answer: [5]
30) Find the value of x if y= 6 in the equation: 2x + 4y = 30 + y
1. 5
2. 3
3. 6
4. -5
5. -6
Answer: [3]
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Read also the post on Civil Service Exam Reviewer for Mathematics (Word Problems).
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