This is Part 1 of our GenEd Mathematics reviewer. This has 40 multiple-choice questions with the answer key provided at the bottom.

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## Gen Ed Math sample questions

**Question 1. Which of the following numbers belongs to a whole number?**

A. –2/3

B. –20

C. 8

D. 2.12

**Question 2. Which of the following is an integer?**

A. 0.9

B. 0

C. 3/4

D. –4.6

**Question 3. Which of the following statements is not true about real numbers?**

A. Every integer is a real number.

B. All rational numbers are real numbers.

C. Integer plus integer is a real number.

D. A real number is always positive.

**Question 4. Which of the following statements is true about real numbers?**

A. All fractions are equal to integers.

B. Some fractions are equal to integers.

C. All irrational numbers are rational numbers.

D. Every real number is a rational number.

**Question 5. Which of the given mathematical statements below is not true?**

A. 9/0 = 0

B. 9(0) = 0

C. 9 + (–9) = 0

D. 0/9 = 0

**Question 6. Which of the following statements is correct?**

A. All odd numbers are prime numbers.

B. All even numbers are composite numbers.

C. Not all even numbers are multiples of two.

D. Not all odd numbers are prime numbers.

**Question 7. Which of the following numbers below is a prime number?**

A. 3

B. 6

C. 9

D. 12

**Question 8. Which of the following numbers below is a composite odd number?**

A. 3

B. 5

C. 7

D. 9

**Question 9. What is the largest prime number less than 100?**

A. 96

B. 97

C. 98

D. 99

**Question 10. Which of the factors below is the prime factor of 45?**

A. 9 • 5

B. 3 • 3 • 5

C. 3 • 5 • 2

D. 3 • 3 • 5 • 2

**Question 11. Which of the following factors is the prime factor of 60?**

A. 6 • 10

B. 3 • 2 • 10

C. 5 • 3 • 2 • 2

D. 6 • 5 • 2

**Question 12. What is the greatest common factor (GCF) of the numbers 27 and 45?**

A. 135

B. 9

C. 27

D. 45

**Question 13. What is the greatest common divisor (GCD) of the numbers 60 and 70?**

A. 10

B. 40

C. 4200

D. 130

**Question 14. Find the least common multiple (LCM) of the numbers 27 and 45.**

A. 135

B. 9

C. 27

D. 45

**Question 15. Find the least common denominator (LCD) of the numbers 60 and 70.**

A. 10

B. 420

C. 4200

D. 130

**Question 16. Which of the following mathematical expressions is true?**

A. –10 > 8

B. 0 > –0.1

C. –16 < –17

D. 6 < 5

**Question 17. Which of the following is an improper fraction?**

A. 1/2

B. 3/4

C. 10/10

D. 3 3/4

**Question 18. Which of the following equations below is true?**

A. 6 1/2 = 7/2

B. 3 1/2 = 7/2

C. 2/1 + 5/1 = 7/2

D. 2/7 = 7/2

**Question 19. 1/8 + 2/3 – 2/5 is equal to:**

A. 1/5

B. 47/120

C. 1/6

D. 4/5

**Question 20. (3/5 – 2/3) + (1/4 + 2/4) is equal to:**

A. 41/60

B. 11/20

C. 4/12

D. 1/2

**Question 21. (2/5 * 3) ÷ (5 * 3/4) is equal to**

A. 24/75

B. 299/20

C. 90/20

D. 8/25

**Question 22. Which of the following equations is true?**

A. 2/5 + 3/4 = 5/9

B. 3/4 – 1/2 = 2/2

C. 3/4 * 1/2 = 6/4

D. 3/4 ÷ 1/2 = 6/4

**Question 23. What is the value of 60% in decimal?**

A. 0.060

B. 0.6

C. 60.0

D. 0.006

**Question 24. What is the equivalent value of 36.3 in percent?**

A. 0.363%

B. 0.363%

C. 3630%

D. 0.0363%

**Question 25. Which of the following equations is true?**

A. 25 = 1/4

B. 0.25% = 0.025

C. 25% = 1/4%

D. 0.25 = 1/4

**Question 26. What is the value of the polynomial 7x ^{3} – 2x^{2} + 5x if x=–2? **

A. –30

B. –74

C. 30

D. 74

**Question 27. What is the value of the polynomial (x2 – 3)(2x + 3) if x=0?**

A. 0

B. –9

C. 9

D. 10

**Question 28. Which of the following algebraic expressions results in an even number if n=1?**

A. n^{2} + n + 1

B. 3n^{2} + 2n

C. n^{2} + 3n

D. n^{2} + 4n

**Question 29. Simplify 5 + {8 – (3 – 5) + 7} – 10.**

A. 28

B. 18

C. 12

D. 10

**Question 30. Simplify 2 ^{-1} • 3^{-1} (2^{-1} + 3^{-1}).**

A. 5/6

B. 5/36

C. 36/5

D. 6/5

**Question 31. Find the value of the unknown variable n given the proportion n:5 = 8:10.**

A. 4

B. 60

C. 13

D. 6

**Question 32. An elevator can carry a maximum load of 605 kg. How many passengers weighing 50.5 kg each can the elevator load?**

A. 10

B. 11

C. 12

D. 13

**Question 33. If a man uses 20 gallons of gasoline to travel 350 km in his car, how many gallons will he need for a 750 km trip?**

A. 42.86

B. 52.86

C. 62.86

D. 72.86

**Question 34. If Jet walked 16 km in 3 hrs, how far can he walk (in km) at the same rate in 6 hrs?**

A. 22

B. 32

C. 42

D. 52

**Question 35. A 54 inches line is divided into pieces; the ratio of which is 5:13. Find the length (in inches) of each piece.**

A. 14 and 40

B. 13 and 41

C. 15 and 39

D. 16 and 38

**Question 36. Three men are paid 315.00 to do a certain job. The sum is to be divided among them in the ratio of 4:5:6. How much does each receive?**

A. 84, 104, & 127

B. 84, 105, & 126

C. 83, 106, & 126

D. 83, 105, & 127

**Question 37. 32.52 is 12% of what number?**

A. 512

B. 271

C. 46.28

D. 198.72

**Question 38. 0.0202 is what percent of 0.0808?**

A. 0.25%

B. 2.5%

C. 25%

D. 250%

**Question 39. What is 62% of 85?**

A. 5,270

B. 25

C. 52.7

D. 57.2

**Question 40. An article of clothing is on sale at 15% off the marked price. If the marked price is 1,050, what is the sale price?**

A. 132.15

B. 892.5

C. 157.5

D. 787.5

## Answer key

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

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

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

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

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

6. D | 16. B | 26. B | 36. B |

7. A | 17. C | 27. B | 37. B |

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

9. B | 19. B | 29. C | 39. C |

10. B | 20. A | 30. B | 40. B |