This is Part 1 of our CSE Math reviewer. Topics included in this review material are basic arithmetic, algebra, geometry, and statistics. It’s important to note that the exact coverage may vary depending on the level for which you are applying.

This is still part of our continuing efforts to provide quality reviewers not only to students but also to aspiring civil servants.

## CSE Math Reviewer, Part 1

**Directions:** This is a test of your ability to think out solutions to quantitative problems in mathematics. Analyze and solve each problem carefully before choosing your answer. Do not rush, but also be mindful of the time.

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

A. 1,631

B. 1,641

C. 1,741✅

D. 1,731

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

A. 65

B. 155✅

C. 125

D. 550

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

A. 1,055✅

B. 1,065

C. 1,075

D. 1,085

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

A. 40

B. 48

C. 64

D. 168✅

**Question 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

**Question 6. Find the product: 800 × 125.**

A. 925

B. 1,000

C. 10,000

D. 100,000✅

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

A. 48

B. 64✅

C. 80

D. 88

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

A. 0✅

B. 4

C. 8

D. 2

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

A. 299,940

B. 299,000

C. 299,900

D. 300,000✅

**Question 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.✅

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

A. 9,208✅

B. 6,236

C. 88,254

D. 8,886

**Question 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.

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

A. 0

B. 20

C. 44✅

D. 64

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

A. 12

B. 16✅

C. 24

D. 48

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

A. 7/11

B. 3/31

C. 3/13✅

D. 7/13

**Question 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

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

A. 27

B. 36

C. 45

D. 52✅

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

A. 52

B. 57✅

C. 54

D. 912

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

A. 52

B. 57

C. 54

D. 912✅

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

A. 25%✅

B. 50%

C. 400%

D. 80%

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

A. 13.653✅

B. 135.53

C. 1,356.3

D. 13,563

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

A. 7

B. 16

C. 39

D. 52✅

**Question 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✅

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

A. 7✅

B. –7

C. ±7

D. 4

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

A. 8 / [(62)(82)]✅

B. 16 / [(62)(82)]

C. 1 / [(63)(82)]

D. 168 / [(64)(83)]

**Question 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.

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

A. 4

B. 6

C. 8

D. 72✅

**Question 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

**Question 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

**Question 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✅

**Question 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. { }✅

**Question 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✅

**Question 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

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

A. 31✅

B. 37

C. 48

D. 1,984

**Question 35. Four 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

**Question 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✅

**Question 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

**Question 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

**Question 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

**Question 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