M-STEP Mathematics Concepts & Problem Solving 4 — Questions and Answers
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?
- 5 miles (Correct answer)
- 4 miles
- 6 miles
- 3.5 miles
Correct answer: 5 miles
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?
- 24 (Correct answer)
- 20
- 18
- 28
Correct answer: 24
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?
- 15 (Correct answer)
- 18
- 16
- 20
Correct answer: 15
15 appears twice, more than any other value, so 15 is the mode.
Question 4: If f(x) = 2x − 5, what is f(−3)?
- −11 (Correct answer)
- −1
- 1
- 11
Correct answer: −11
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?
- 10 (Correct answer)
- 12
- 9
- 14
Correct answer: 10
Using the Pythagorean theorem: √(6² + 8²) = √(36 + 64) = √100 = 10.
Question 6: Which inequality is represented by the phrase 'a number n is at least 12'?
- n ≥ 12 (Correct answer)
- n > 12
- n ≤ 12
- n < 12
Correct answer: n ≥ 12
'At least 12' means n can equal 12 or be greater, so n ≥ 12.
Question 7: A recipe calls for 2¼ cups of flour. If you want to make 1.5 times the recipe, how much flour do you need?
- 3⅜ cups (Correct answer)
- 3 cups
- 3½ cups
- 3¼ cups
Correct answer: 3⅜ cups
2¼ = 2.25; 2.25 × 1.5 = 3.375 = 3⅜ cups.
M-STEP Mathematics Concepts & Problem Solving 4
An athlete runs 5/8 of a mile in 5 minutes.
At this rate, how many miles will she run in 40 minutes?