COOP Cooperative Admissions Mathematics 4

Question 1

On a number line, what is the distance between −7 and 5?

Accepted Answer

12

Answer

Distance = |5 − (−7)| = |5 + 7| = 12.

Question 2

A recipe calls for 2½ cups of flour. If you want to make 3 times the recipe, how much flour do you need?

Accepted Answer

7½ cups

Answer

2½ × 3 = 5/2 × 3 = 15/2 = 7½ cups.

Question 3

What is the median of the data set: 3, 8, 5, 12, 7?

Accepted Answer

7

Answer

Arranged in order: 3, 5, 7, 8, 12 — the middle value is 7.

Question 4

A circle has a radius of 5 cm. What is its area? (Use π ≈ 3.14)

Accepted Answer

78.5 cm²

Answer

Area = π × r² = 3.14 × 25 = 78.5 cm².

Question 5

Simplify: (4x + 2) − (x − 3)

Accepted Answer

3x + 5

Answer

4x + 2 − x + 3 = 3x + 5.

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