PSAT/NMSQT Math 3 โ Questions and Answers
Question 1: A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
- 10 (Correct answer)
- 12
- 14
- 48
Correct answer: 10
โ(6ยฒ + 8ยฒ) = โ100 = 10.
Question 2: If xยฒ = 49, which is a possible value of x?
- 7 only
- โ7 only
- 7 or โ7 (Correct answer)
- 24.5
Correct answer: 7 or โ7
Both 7 and โ7 squared equal 49.
Question 3: A car travels 150 miles in 3 hours. What is its average speed in miles per hour?
- 45
- 50 (Correct answer)
- 55
- 60
Correct answer: 50
150 รท 3 = 50 mph.
Question 4: What is the median of the data set 4, 8, 6, 10, 2?
- 4
- 6 (Correct answer)
- 8
- 10
Correct answer: 6
Ordered: 2, 4, 6, 8, 10; the middle value is 6.
Question 5: If 5x โ 2 = 3x + 8, what is x?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
Subtract 3x and add 2: 2x = 10, so x = 5.
Question 6: A circle has radius 5. What is its area? (Use ฯ โ 3.14)
- 31.4
- 78.5 (Correct answer)
- 157
- 25
Correct answer: 78.5
Area = ฯrยฒ = 3.14 ร 25 = 78.5.
Question 7: Which expression is equivalent to 3(2x + 4)?
- 6x + 4
- 6x + 12 (Correct answer)
- 5x + 7
- 6x + 7
Correct answer: 6x + 12
Distribute: 3 ร 2x = 6x and 3 ร 4 = 12.
PSAT/NMSQT Math 3
A right triangle has legs of length 6 and 8.
What is the length of the hypotenuse?