1
FRACTION/DECIMAL/PERCENT/BASIC OPERATIONS
1. Common Fraction/Decimal/Percent
1/4
1/2
3/4
1/3
2/3
0.25`
0.5
0.75
0.333
0.666
25%
50%
75%
33.3%
66.6%
1/5
2/5
3/5
4/5
2. Lowest Term
3. Conversion – Fraction to Decimal
4. Conversion – Decimal to Percent
5. Conversion – Percent to Decimal
6. Conversion – Percent to Fraction
7. Conversion of Improper Fraction to Mixed Number
8. Conversion of Mixed Number to Improper Fraction
9. Least Common Denominator
0.2
0.4
0.6
0.8
20%
40%
60%
80%
2
10. Addition/Subtraction of Fraction
11. Multiplication of Fraction
12. Division of Fraction
RATIO AND PROPORTION (Past Civil Service Exam)
1.0.75 is to ¾ as 0.8 is to _________
1. 2/3
2. 4/5
3. 5/6
4. 6/7
5. 3/5
2. 2 is to 8 as 4 is to ________
1. 18
2. 32
4. 66
5. None
3. 0.25 is to 0.125 as to 1.25 is to ________
1. 0.625
2. 1.125
3. 1.625
4. 2.125
5. 6.250
4. 2 is to 2.5 as 4 is to ________
1. 3
2. 5
3. 7
4. 9
5. 6
5. 14 is to 28 as 5 is to _________
1. 7
2. 8
3. 9
4. 10
5. 15
3. 36
3
6. 1 is to 1/4 as 5/25 is to ________
1. 1/16
2. 1/18
3. 2/6
4. 3/4
5. 1/20
7. 0.35 is to 7 as 0.45 is to ________
1. 8
2. 9
3. 12
4. 14
5. 0.9
8. 1/3 is to 2/18 as 1/12 is to ________
1. 2/72
2. 2/48
3. 3/36
4. 3/25
5. 1/72
9. 3/8 is to 12/32 as 2/5 is to ________
1. 8/20
2. 10/23
3. 6/13
4. 4/6
5. 5/6
10. 1/3 is to 3/7 as 1/6 is to ________
1. 3/14
2. 1/5
3. 1/4
4. 1/3
5. ½
11. 0.4 is to 2/5 as 0.6 is to ________
1. 20
2. 4/5
3. 3/10
4. 3/5
5. 1/5
12. 0.2 is to 0.4 as 0.3 is to ________
1. 0.009
2. 0.0009
3. 0.09
4. 0.9
5. 9.0
13. 8 is to 23 as 27 is to ________
1. 33
2. 53
4. 39
5. 43
3. 93
4
14. 1/3 is to 3 as 2/8 is to ________
1. 2
2. 4
3. 6
4. 8
5. 10
15. 0.30 is to 0.075 as 0.15 is to ______
1. 0.000375 2. 0.00375
3. 0.0375
4. 0.375
5. None
ACTUAL PAST CIVIL SERVICE EXAM: Ratio and Proportion
1. 32 is to 9 as 92 is to __________
1. 18
2. 27
3. 72
4. 81
5. 90
2. 30% is to 3/5 as 60% is to __________
1. 1 1/5
2. 1 ¼
3. 3 ½
4. 2 1/3
5. 2 ¾
3. 0.25 is to 0.125 as 1.25 is to __________
1. 6.250
2. 2.125
3. 1.625
4. 1.125
5. 0.625
4. 12.5 is to 1/8 as 20 is to __________
1. 1/6
2. 1/5
3. ¼
4. 1/3
5. ½
5. 6 is to 15 as 36 is to ___________
1. 90
2. 82
3. 75
4. 72
5. 60
NUMBER SERIES
1. ADDITION/SUBTRACTION (Continuous)
3
6
9
12
15
________
5
6
8
11
15
________
64
62
60
58
56
54
14
11
7
2
-4
________
________
5
2. ADDITION/SUBTRACTION (Alternate)
\
1
13
2
12
3
11
4
________
30
7
34
9
38
11
42
13
________
3. ADDITION/SUBTRACTION (Double Alternate)
2
4
6
6
8
12
10
12
1
2
75
74
3
4
73
72
5
________
4. DECIMALS (Not as Decimals)
20.17
17.20
14.23
11.26
5. NUMBERS (Not as Numbers, by Digits)
307
426
545
664
__________
6. FRACTION (As Fractional Value, Increase/Decrease)
1/2
3/4
1
5/4
3/2
7/4
4/12
___________
___________
7. FRACTION (Equivalent)
3/9
1/3
6/18
8. FRACTION (Not as Fraction, By Numerator/Denominator)
1/2
3/5
5/8
7/11
_____________
9. MULTIPLICATION (Continuous)
1.5
4.5
13.5
40.5
____________
10. MULTIPLICATION (Alternate)
5
10
15
20
45
30
8
___________
11. DIVISION (Continuous)
64
32
16
____________
___________
6
12. DIVISION (In Pairs)
21
7
30
10
45
15
60
___________
4
9
16
25
__________
8
27
64
___________
4
6
10
16
26__________ (Add 2 number, the sum is the next number)
1
3
7
15
31
13. SQUARE
1
14. CUBES
1
15. Others
63
____________ (2^n , n is increasing, add to previous)
ACTUAL PAST CIVIL SERVICE EXAM: Number Series
\
1. 19.12
18.13
1. 3.25
2. 1
4
13
2 . 4.27
40
1. 623
3. 5
121
13.18
3. 5.23
9.22
_________
4. 6.29
5. 5.26
4. 997
5. 1093
4. 9
5. 5
364 __________
2. 719
3. 865
17 19 6 14 16 7 10 12 8 _________
1. 17
4. 795
16.15
2611
1. 543
2. 15
684
2722
2. 484
3. 11
573
2833 __________
3. 462
4. 446
5. –426
7
5. -6
30
-150 750 __________
1. 3750
6. 1/3
3/9
5/15
7/21
1. 11/35
7. 16
8
40
20
3
4
1. 40
9. .02
.06
5
60
.12
5
12.5
1. 33.75
.20
4. 8/25
5. 4/13
4. 210
5. 140
4. 35
5. 33
3. .42
4. .46
5. .48
3. 50.75
4. 78.125
5. 82.125
420 __________
3. 240
26
6 __________
2. 38
1. 0.36
10. 2
120
17
5. –3750
3. 9/29
2. 360
10
4. –2250
9/27 __________
2. 11/33
1. 480
8.
3. –1500
2. 2250
3. 37
.30 __________
2. .40
31.25 __________
2. 43.25