College Math Placement Test Pre-Algebra 3 — Questions and Answers
Question 1: Which of the following is a prime number?
- 51
- 57
- 61 (Correct answer)
- 63
Correct answer: 61
61 is prime because it has no divisors other than 1 and itself; 51=3×17, 57=3×19, and 63=9×7.
Question 2: Convert 2 3/4 to an improper fraction.
- 5/4
- 8/4
- 11/4 (Correct answer)
- 9/4
Correct answer: 11/4
2 3/4 = (2×4 + 3)/4 = 11/4.
Question 3: What is 15% of 200?
- 20
- 25
- 30 (Correct answer)
- 35
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
Question 4: Solve for x: x/5 = 9
- 14
- 4
- 45 (Correct answer)
- 1.8
Correct answer: 45
Multiply both sides by 5: x = 9 × 5 = 45.
Question 5: Which set of numbers is ordered from least to greatest?
- −2, −5, 0, 3
- −5, −2, 0, 3 (Correct answer)
- 0, −2, −5, 3
- 3, 0, −2, −5
Correct answer: −5, −2, 0, 3
On the number line, −5 < −2 < 0 < 3, so −5, −2, 0, 3 is the correct order.
Question 6: A recipe calls for 2 1/2 cups of flour. If you want to make 1.5 times the recipe, how many cups do you need?
- 3 cups
- 3 3/4 cups (Correct answer)
- 4 cups
- 3 1/2 cups
Correct answer: 3 3/4 cups
2.5 × 1.5 = 3.75 cups = 3 3/4 cups.
Question 7: What is the value of 4³?
- 12
- 64 (Correct answer)
- 81
- 16
Correct answer: 64
4³ = 4 × 4 × 4 = 64.
Which of the following is a prime number?