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
1. Which of the following numbers belong to a whole number?
| A. –2/3 | C. 8 |
| B. –20 | D. 2.12 |
2. Which of the following is an integer?
| A. 0.9 | C. 3/4 |
| B. 0 | D. –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 = 0 | C. 9 + (–9) = 0 |
| B. 9(0) = 0 | D. 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. 3 | C. 9 |
| B. 6 | D. 12 |
8. Which of the following numbers below is a composite odd number?
| A. 3 | C. 7 |
| B. 5 | D. 9 |
9. What is the largest prime number less than 100?
| A. 96 | C. 98 |
| B. 97 | D. 99 |
10. Which of the factors below is the prime factor of 45?
| A. 9 • 5 | C. 3 • 5 • 2 |
| B. 3 • 3 • 5 | D. 3 • 3 • 5 • 2 |
11. Which of the following factors is the prime factor of 60?
| A. 6 • 10 | C. 5 • 3 • 2 • 2 |
| B. 3 • 2 • 10 | D. 6 • 5 • 2 |
12. What is the greatest common factor (GCF) of the numbers 27 and 45?
| A. 135 | C. 27 |
| B. 9 | D. 45 |
13. What is the greatest common divisor (GCD) of the numbers 60 and 70?
| A. 10 | C. 4200 |
| B. 40 | D. 130 |
14. Find the least common multiple (LCM) of the numbers 27 and 45.
| A. 135 | C. 27 |
| B. 9 | D. 45 |
15. Find the least common denominator (LCD) of the numbers 60 and 70.
| A. 10 | C. 4200 |
| B. 420 | D. 130 |
16. Which of the following mathematical expressions is true?
| A. –10 > 8 | C. –16 < –17 |
| B. 0 > –0.1 | D. 6 < 5 |
17. Which of the following is an improper fraction?
| A. 1/2 | C. 10/10 |
| B. 3/4 | D. 3 3/4 |
18. Which of the following equations below is true?
| A. 6 1/2 = 7/2 | C. 2/1 + 5/1 = 7/2 |
| B. 3 1/2 = 7/2 | D. 2/7 = 7/2 |
19. 1/8 + 2/3 – 2/5 is equal to:
| A. 1/5 | C. 1/6 |
| B. 47/120 | D. 4/5 |
20. (3/5 – 2/3) + (1/4 + 2/4) is equal to:
| A. 41/60 | C. 4/12 |
| B. 11/20 | D. 1/2 |
21. (2/5 * 3) ÷ (5 * 3/4) is equal to
| A. 24/75 | C. 90/20 |
| B. 299/20 | D. 8/25 |
22. Which of the following equations is true?
| A. 2/5 + 3/4 = 5/9 | C. 3/4 * 1/2 = 6/4 |
| B. 3/4 – 1/2 = 2/2 | D. 3/4 ÷ 1/2 = 6/4 |
23. What is the value of 60% in decimal?
| A. 0.060 | C. 60.0 |
| B. 0.6 | D. 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 = 1/4 | C. 25% = 1/4% |
| B. 0.25% = 0.025 | D. 0.25 = 1/4 |
26. What is the value of the polynomial 7x3 – 2x2 + 5x if x=–2?
| A. –30 | C. 30 |
| B. –74 | D. 74 |
27. What is the value of the polynomial (x2 – 3)(2x + 3) if x=0?
| A. 0 | C. 9 |
| B. –9 | D. 10 |
28. Which of the following algebraic expressions result in an even number if n=1?
| A. n2 + n + 1 | C. n2 + 3n |
| B. 3n2 + 2n | D. n2 + 4n |
29. Simplify 5 + {8 – (3 – 5) + 7} – 10.
| A. 28 | C. 12 |
| B. 18 | D. 10 |
30. Simplify 2-1 • 3-1 (2-1 + 3-1).
| A. 5/6 | C. 36/5 |
| B. 5/36 | D. 6/5 |
31. Find the value of the unknown variable n given the proportion n:5 = 8:10.
| A. 4 | C. 13 |
| B. 60 | D. 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. 10 | C. 12 |
| B. 11 | D. 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. 42.86 | C. 62.86 |
| B. 52.86 | D. 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. 22 | C. 42 |
| B. 32 | D. 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 40 | C. 15 and 39 |
| B. 13 and 41 | D. 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, & 127 | C. 83, 106, & 126 |
| B. 84, 105, & 126 | D. 83, 105, & 127 |
37. 32.52 is 12% of what number?
| A. 512 | C. 46.28 |
| B. 271 | D. 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. 5,270 | C. 52.7 |
| B. 25 | D. 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. 132.15 | C. 157.5 |
| B. 892.5 | 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 |
