PARCC Fractions and Square Root Practice Questions

Question 1

1. Which of the following is listed in order from least to greatest?

Accepted Answer

-8,-7 4/5,-3/4,18%,0.25,2.5

Answer

To order numbers from least to greatest, it's helpful to convert them to a common format, such as decimals. Converting the given numbers yields: -8, -7.8 (from -7 4/5), -0.75 (from -3/4), 0.18 (from 18%), 0.25, and 2.5. When arranged in ascending order, this sequence is -8, -7 4/5, -3/4, 18%, 0.25, 2.5.

Question 2

2. Which of the following fractions is larger than 2 1/4 but smaller than 2 2/5?

Accepted Answer

2 3/8

Answer

To determine which fraction fits the criteria, convert all numbers to a common format, such as decimals. 2 1/4 is 2.25, and 2 2/5 is 2.40. Among the options, 2 3/8 converts to 2.375, which is indeed greater than 2.25 and smaller than 2.40. The other options are either too small or too large.

Question 3

3. Jason chooses a number that is the square root of four less than two times Amy's number. If Amy's number is 20, what is Jason's number?

Accepted Answer

6

Answer

First, calculate two times Amy's number: 2 * 20 = 40. Next, find four less than that result: 40 - 4 = 36. Finally, Jason's number is the square root of 36, which is 6. Therefore, Jason's number is 6.

Question 4

4. In a square built with unit squares, which of the following would represent the square root of the square?

Accepted Answer

The number of unit squares comprising a side

Answer

The area of a square is calculated by multiplying its side length by itself (side * side, or side²). Therefore, the square root of the total number of unit squares (which represents the area of the square) will give you the length of one side of that square. This directly corresponds to the number of unit squares comprising a side.

Question 5

5. Brianna used five 3/4 cups of sugar while baking. How many cups of sugar did she use in all?

Accepted Answer

3 3/4

Answer

The phrase 'five 3/4 cups' indicates multiplication. To find the total amount, multiply 5 by 3/4. This calculation results in (5 * 3) / 4 = 15/4. Converting the improper fraction 15/4 to a mixed number yields 3 with a remainder of 3, which is written as 3 3/4 cups.

PARCC Practice Test

PARCC Practice Test

PARCC Fractions and Square Root Practice Questions