M-STEP Mathematics Concepts & Problem Solving 4

Question 1

An athlete runs 5/8 of a mile in 5 minutes. At this rate, how many miles will she run in 40 minutes?

Accepted Answer

5 miles

Answer

Rate = (5/8) ÷ 5 = 1/8 mile per minute; in 40 minutes she runs 40 × 1/8 = 5 miles.

Question 2

What is the value of 2³ + 4²?

Accepted Answer

24

Answer

2³ = 8 and 4² = 16, so 8 + 16 = 24.

Question 3

A data set has the values: 12, 15, 15, 18, 20. What is the mode?

Accepted Answer

15

Answer

15 appears twice, more than any other value, so 15 is the mode.

Question 4

If f(x) = 2x − 5, what is f(−3)?

Accepted Answer

−11

Answer

f(−3) = 2(−3) − 5 = −6 − 5 = −11.

Question 5

A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?

Accepted Answer

10

Answer

Using the Pythagorean theorem: √(6² + 8²) = √(36 + 64) = √100 = 10.

(M-STEP) Michigan Student Test of Educational Progress Practice Test