*Math Part 1* General Education (Gen Ed) LET Reviewer

Here is Part 1 of our GenEd Math reviewer for the upcoming Licensure Exam for Teachers (LET).

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

Recommended reading:
5 Researched-Based Techniques to Pass Any Exam
13 Tips to Pass LEPT (From Repeaters)

Gen Ed Math sample questions

1. Which of the following numbers belong to a whole number?

A. –2/3C. 8
B. –20D. 2.12

2. Which of the following is an integer?

A. 0.9C. 3/4
B. 0D. –4.6

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.

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.

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

A. 9/0 = 0C. 9 + (–9) = 0
B. 9(0) = 0D. 0/9 = 0

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.

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

A. 3C. 9
B. 6D. 12

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

A. 3C. 7
B. 5D. 9

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

A. 96C. 98
B. 97D. 99

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

A. 9 • 5C. 3 • 5 • 2
B. 3 • 3 • 5D. 3 • 3 • 5 • 2

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

A. 6 • 10C. 5 • 3 • 2 • 2
B. 3 • 2 • 10D. 6 • 5 • 2

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

A. 135C. 27
B. 9D. 45

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

A. 10C. 4200
B. 40D. 130

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

A. 135C. 27
B. 9D. 45

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

A. 10C. 4200
B. 420D. 130

16. Which of the following mathematical expressions is true?

A. –10 > 8C. –16 < –17
B. 0 > –0.1D. 6 < 5

17. Which of the following is an improper fraction?

A. 1/2C. 10/10
B. 3/4D. 3 3/4

18. Which of the following equations below is true?

A. 6 1/2 = 7/2C. 2/1 + 5/1 = 7/2
B. 3 1/2 = 7/2D. 2/7 = 7/2

19. 1/8 + 2/3 – 2/5 is equal to:

A. 1/5C. 1/6
B. 47/120D. 4/5

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

A. 41/60C. 4/12
B. 11/20D. 1/2

21. (2/5 * 3) ÷ (5 * 3/4) is equal to

A. 24/75C. 90/20
B. 299/20D. 8/25

22. Which of the following equations is true?

A. 2/5 + 3/4 = 5/9C. 3/4 * 1/2 = 6/4
B. 3/4 – 1/2 = 2/2D. 3/4 ÷ 1/2 = 6/4

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

A. 0.060C. 60.0
B. 0.6D. 0.006

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

A. 0.363%C. 3630%
B. 36.3%D. 0.0363%

25. Which of the following equations is true?

A. 25 = 1/4C. 25% = 1/4%
B. 0.25% = 0.025D. 0.25 = 1/4

26. What is the value of the polynomial 7x3 – 2x2 + 5x if x=–2?

A. –30C. 30
B. –74D. 74

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

A. 0C. 9
B. –9D. 10

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

A. n2 + n + 1C. n2 + 3n
B. 3n2 + 2nD. n2 + 4n

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

A. 28C. 12
B. 18D. 10

30. Simplify 2-1 • 3-1 (2-1 + 3-1).

A. 5/6C. 36/5
B. 5/36D. 6/5

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

A. 4C. 13
B. 60D. 6

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

A. 10C. 12
B. 11D. 13

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. 42.86C. 62.86
B. 52.86D. 72.86

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

A. 22C. 42
B. 32D. 52

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 40C. 15 and 39
B. 13 and 41D. 16 and 38

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, & 127C. 83, 106, & 126
B. 84, 105, & 126D. 83, 105, & 127

37. 32.52 is 12% of what number?

A. 512C. 46.28
B. 271D. 198.72

38. 0.0202 is what percent of 0.0808?

A. 0.25%C. 25%
B. 2.5%D. 250%

39. What is 62% of 85?

A. 5,270C. 52.7
B. 25D. 57.2

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. 132.15C. 157.5
B. 892.5D. 787.5

Answer key

1. C11. C21. D31. A
2. B12. B22. D32. B
3. D13. A23. B33. A
4. B14. A24. C34. B
5. A15. B25. D35. C
6. D16. B26. B36. B
7. A17. C27. B37. B
8. D18. B28. C38. C
9. B19. B29. C39. C
10. B20. A30. B40. B
GenEd Math Reviewer Part 1 – Answer Key