PSAT/NMSQT Mathematical Problem Solving 3 — Questions and Answers
Question 1: A car travels 150 miles in 3 hours. At the same speed, how far does it go in 5 hours?
- 200 miles
- 225 miles
- 250 miles (Correct answer)
- 300 miles
Correct answer: 250 miles
Speed is 50 mph, so 50 × 5 = 250 miles.
Question 2: Solve for y: 3(y + 4) = 27.
- 5 (Correct answer)
- 7
- 9
- 11
Correct answer: 5
Divide by 3: y + 4 = 9, so y = 5.
Question 3: A right triangle has legs of length 6 and 8. What is the hypotenuse?
- 10 (Correct answer)
- 12
- 14
- 48
Correct answer: 10
√(36 + 64) = √100 = 10.
Question 4: If 2 pounds of apples cost $3.60, what is the cost per pound?
- $1.20
- $1.80 (Correct answer)
- $2.00
- $2.40
Correct answer: $1.80
$3.60 ÷ 2 = $1.80 per pound.
Question 5: What is the value of 2³ + 4²?
- 20
- 22
- 24 (Correct answer)
- 26
Correct answer: 24
8 + 16 = 24.
Question 6: A number increased by 25% equals 75. What is the number?
- 50
- 55
- 60 (Correct answer)
- 65
Correct answer: 60
75 = 1.25 × n, so n = 60.
Question 7: The function f(x) = 2x - 3. What is f(5)?
- 5
- 7 (Correct answer)
- 10
- 13
Correct answer: 7
2(5) - 3 = 10 - 3 = 7.
PSAT/NMSQT Mathematical Problem Solving 3
A car travels 150 miles in 3 hours.
At the same speed, how far does it go in 5 hours?