As part of our continuing efforts to provide quality reviewers not only to students but also to aspiring civil servants, we’ve come up with this Mathematics reviewer for the Civil Service Exam (CSE) for both Professional and Sub-Professional levels.

## 2022 CSE Mathematics reviewer

**Directions:** This is a test of your ability to think out solutions to quantitative problems in mathematics. Analyze and solve each problem carefully.

**1.** Find the sum: 299 + 943 + 398 + 101.

a. 1,631

b. 1,641

c. 1,741

d. 1,731

**2.** If 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55, what is 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20?

a. 65

b. 155

c. 125

d. 550

**3.** If 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55, what is 101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 109 + 110?

a. 1,055

b. 1,065

c. 1,075

d. 1,085

**4.** Evaluate: {16 – (24 – 8) + 22 × 8 – 8}.

a. 40

b. 48

c. 64

d. 168

**5.** If 23 + 28 + 37 + x + 53 = 168 and 23 + 28 + 40 + y + 50 = 120, what is x – y?

a. 36

b. 48

c. 56

d. 64

**6.** Find the product: 800 × 125.

a. 925

b. 1,000

c. 10,000

d. 100,000

**7.** Find the quotient: 8,000 ÷ 125.

a. 48

b. 64

c. 80

d. 88

**8.** What is the remainder when 192,888 is divided by 8?

a. 0

b. 4

c. 8

d. 2

**9.** Round off 299,943 to the nearest thousands.

a. 299,940

b. 299,000

c. 299,900

d. 300,000

**10.** 398.101 is read as

a. Three hundred ninety-eight, one hundred one.

b. Three hundred ninety-eight and one hundred one.

c. Three hundred ninety-eight and one hundred one-hundredths.

d. Three hundred ninety-eight and one hundred one-thousandths.

**11.** A number is divisible by 8 if its last three digits is divisible by 8. Which of the following numbers is divisible by 8?

a. 9,208

b. 6,236

c. 88,254

d. 8,886

**12.** Which of the following statements is true?

a. If a number is divisible by 5, then it is divisible by 10.

b. If a number is divisible by 10, then it is divisible by 5.

c. If a number is divisible by 3, then it is divisible by 6.

d. If a number is divisible by 4, then it is divisible by 8.

**13.** Simplify: 1/2 (128 – 84) + (128 – 84) – 1/2 (128 – 84).

a. 0

b. 20

c. 44

d. 64

**14.** Simplify: 33.33% of 48 + 12.5% of 96 – 44.44% of 27.

a. 12

b. 16

c. 24

d. 48

**15.** Reduce 231/1001 to its lowest terms.

a. 7/11

b. 3/31

c. 3/13

d. 7/13

**16.** Which of the following is true?

a. –16 > 8

b. 8/64 = 1/4

c. 54 – 8 ≥ 8 – 54

d. 9/117 = 1/17

**17.** Find the value: [3/8 (72) + 5/7 (35)].

a. 27

b. 36

c. 45

d. 52

**18.** What is 25% of 228?

a. 52

b. 57

c. 54

d. 912

**19.** 228 is 25% of what number?

a. 52

b. 57

c. 54

d. 912

**20.** 168 is what percent of 672?

a. 25%

b. 50%

c. 400%

d. 80%

**21.** Evaluate: 123 × 0.1 + 123 × 0.01 + 123 × 0.001.

a. 13.653

b. 135.53

c. 1,356.3

d. 13,563

**22.** Find 3 1/4 of 16.

a. 7

b. 16

c. 39

d. 52

**23.** Evaluate 1 + 1/2 + 1/4 + 1/8.

a. 1 3/16

b. 1 3/8

c. 1 5/8

d. 1 7/8

**24.** Find the value of x in the equation 3x + 7 = 28.

a. 7

b. –7

c. ±7

d. 4

**25.** Which of the following has the greatest value?

a. 8/[(6^{2})(8^{2})]

b. 16/[(6^{2})(8^{2})]

c. 1/[(6^{3})(8^{2})]

d. 168/[(6^{4})(8^{3})]

**26.** Which of the following cannot yield an odd number when divided by 10?

a. The sum of two odd integers.

b. The product of a prime number and an odd integer.

c. The product of two odd integers.

d. The sum of three consecutive integers.

**27.** If 8x + 12 = 24, what is the value of 24x + 36?

a. 4

b. 6

c. 8

d. 72

**28.** If a positive integer *m* is divisible by both 3 and 8, then *m* must also be divisible by

a. 10

b. 18

c. 24

d. 60

**29.** If positive integers m and n are both odd, which of the following is always true?

a. m + n is even

b. mn is even

c. m – n cannot be odd

d. m + n – 1 is odd

**30.** Find the average temperate change for the 12-day period: 2.6, 3.8, 7.0, 4.5, 4.6, 7.9, 5.0, 8.1, 4.4, 5.3, 6.4, 5.2.

a. 4.8

b. 4.9

c. 5.2

d. 5.4

**31.** Find the set of all odd numbers x satisfying the conditions 5x – 4 ≤ 0 and 3x – 7 ≥ 0.

a. {x | x ≠ 1}

b. {1}

c. {x | x ∈ R}

d. { }

**32.** State the property illustrated: If 8(6) + 4 = 48 + 4 and 48 + 4 = 52, then 8(6) + 4 = 52.

a. distributive property of multiplication over addition

b. commutative property of addition

c. associative property

d. transitive property of equality

**33.** If 8 is less than the product of a number and –3 is greater than 7, which of the following could be that number?

a. –6

b. –5

c. 5

d. 6

**34.** The difference between 8 times a number and 17 is 231. Find the number.

a. 31

b. 37

c. 48

d. 1,984

**35.** Foud times the perimeter of a parking lot is 16 less than 2,000 meters. What is the perimeter of the lot in meters?

a. 496

b. 504

c. 992

d. 1,008

**36.** The amount of last month’s telephone bill decreased by the product of 3 and 30.00 equals 1,319.50. Find the amount of the bill.

a. 1,229.50

b. 1,289.50

c. 1,310.50

d. 1,409.50

**37.** Eighteen less than seven times the number of sandwiches is 269. How many sandwiches are there?

a. 32

b. 41

c. 44

d. 45

**38. **A house and lot are sold for 14M. The house costs 1.5 times as much as the lot. How much does the lot cost?

a. 5.6M

b. 8.4M

c. 10.5M

d. 21M

**39.** The sale price of a television set is 7,200. The discount rate is 40%. Find its regular price.

a. 4,320

b. 12,000

c. 6,800

d. 10,000

**40.** The lengths of the sides of a triangle can be represented by three consecutive integers. The perimeter of the triangle is 96 cm. Find the length of the longest side of the triangle.

a. 28

b. 32

c. 33

d. 36

## Answer key

1. C | 11. A | 21. A | 31. D |

2. B | 12. B | 22. D | 32. D |

3. A | 13. C | 23. D | 33. A |

4. D | 14. B | 24. A | 34. A |

5. B | 15. C | 25. A | 35. A |

6. D | 16. C | 26. C | 36. D |

7. B | 17. D | 27. D | 37. B |

8. A | 18. B | 28. C | 38. A |

9. D | 19. D | 29. B | 39. B |

10. D | 20. A | 30. D | 40. C |

## Related CSE reviewers

CSE Math Reviewer | No. of Items |
---|---|

Mathematics – Part 2 | 40 items |

Data Sufficiency | 20 items |