IAR Math Concepts and Reasoning 2

Question 1

A recipe uses 3/4 cup of sugar for every 2 cups of flour. How much sugar is needed for 6 cups of flour?

Accepted Answer

2 1/4 cups

Answer

6 cups of flour is 3 times 2 cups, so multiply 3/4 by 3 to get 2 1/4 cups.

Question 2

Which expression is equivalent to 4(2x + 3)?

Accepted Answer

8x + 12

Answer

Distribute the 4 to both terms: 4 times 2x is 8x and 4 times 3 is 12.

Question 3

What is the value of 3² + 4 × 2?

Accepted Answer

17

Answer

Following order of operations, 3² = 9 and 4 × 2 = 8, so 9 + 8 = 17.

Question 4

A rectangle has a length of 12 cm and a width of 5 cm. What is its area?

Accepted Answer

60 cm²

Answer

Area equals length times width, so 12 × 5 = 60 square centimeters.

Question 5

If a number is divisible by both 2 and 3, it must also be divisible by which number?

Accepted Answer

6

Answer

A number divisible by both 2 and 3 is divisible by their product, 6.

IAR Practice Test