PARCC - Partnership for Assessment of Readiness for College and Careers Fractions and Square Roots Practice Questions 1

Question 1

What is 5/6 − 1/4?

Accepted Answer

7/12

Answer

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

Accepted Answer

14

Answer

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?

Accepted Answer

9/10

Answer

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?

Accepted Answer

7/8

Answer

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)

Accepted Answer

6/7

Answer

The square root of a fraction equals the square root of the numerator over the square root of the denominator: √36/√49 = 6/7.

PARCC Practice Test