This is Part 1 of our GenEd Mathematics reviewer. Get a sense of what’s coming on your licensure exam with these 40 multiple-choice questions with answers.

Topics covered in this mathematics exam include basic algebra, geometry, trigonometry, probability and statistics, calculus, and financial mathematics. The goal is to make sure future teachers are equipped with quantitative reasoning skills.

## Recommended reading:

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- How to Remember Better: A Study Tip

## Gen Ed Math sample questions

**Note:** Answers can be found at the bottom of this page.

**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. \(9 \cdot 5\)

B. \(3 \cdot 3 \cdot 5\)

C. \(3 \cdot 5 \cdot 2\)

D. \(3 \cdot 3 \cdot 5 \cdot 2\)

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

A. \(6 \cdot 10\)

B. \(3 \cdot 2 \cdot 10\)

C. \(5 \cdot 3 \cdot 2 \cdot 2\)

D. \(6 \cdot 5 \cdot 2\)

**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 |