PARCC - Partnership for Assessment of Readiness for College and Careers Fractions and Square Roots Practice Questions 1 — Questions and Answers
Question 1: What is 5/6 − 1/4?
- 7/12 (Correct answer)
- 1/2
- 5/12
- 2/3
Correct answer: 7/12
The LCD of 6 and 4 is 12. Convert: 5/6 = 10/12 and 1/4 = 3/12. Then 10/12 − 3/12 = 7/12.
Question 2: Simplify: √196
- 12
- 13
- 14 (Correct answer)
- 16
Correct answer: 14
14 × 14 = 196, so √196 = 14. You can check by noting 10² = 100 and 15² = 225, placing the answer between them, then testing 14.
Question 3: What is 3/5 ÷ 2/3?
- 6/15
- 2/5
- 9/10 (Correct answer)
- 1/2
Correct answer: 9/10
Dividing by a fraction means multiplying by its reciprocal: 3/5 × 3/2 = 9/10.
Question 4: Which of the following fractions has the greatest value?
- 7/8 (Correct answer)
- 5/6
- 3/4
- 11/16
Correct answer: 7/8
Converting to decimals: 7/8 = 0.875, 5/6 ≈ 0.833, 3/4 = 0.75, 11/16 = 0.6875. The largest is 7/8.
Question 5: Simplify: √(36/49)
- 6/49
- 3/7
- 6/7 (Correct answer)
- 18/49
Correct answer: 6/7
The square root of a fraction equals the square root of the numerator over the square root of the denominator: √36/√49 = 6/7.
Question 6: What is 1 2/3 + 2 3/4?
- 3 5/7
- 4 5/12 (Correct answer)
- 4 1/2
- 3 11/12
Correct answer: 4 5/12
Convert to improper fractions: 1 2/3 = 5/3 and 2 3/4 = 11/4. The LCD is 12: 20/12 + 33/12 = 53/12 = 4 5/12.
What is 5/6 − 1/4?