PSAT/NMSQT Mathematical Problem Solving 2 — Questions and Answers
Question 1: A store sells notebooks at 3 for $4.50. At this rate, how much do 10 notebooks cost?
- $13.50
- $15.00 (Correct answer)
- $15.50
- $18.00
Correct answer: $15.00
Each notebook costs $1.50, so 10 cost $15.00.
Question 2: If 5x - 7 = 3x + 9, what is the value of x?
- 4
- 6
- 8 (Correct answer)
- 16
Correct answer: 8
Subtract 3x and add 7: 2x = 16, so x = 8.
Question 3: A recipe needs 2 cups of flour for 12 cookies. How many cups are needed for 30 cookies?
- 4 cups
- 5 cups (Correct answer)
- 6 cups
- 2.5 cups
Correct answer: 5 cups
The ratio 2/12 scales to 5/30, so 5 cups are needed.
Question 4: What is 35% of 80?
- 24
- 28 (Correct answer)
- 30
- 32
Correct answer: 28
0.35 × 80 = 28.
Question 5: The mean of four numbers is 15. If three of them are 12, 18, and 10, what is the fourth?
- 18
- 20 (Correct answer)
- 22
- 24
Correct answer: 20
The total must be 60; 60 - 40 = 20.
Question 6: A line has slope 2 and passes through (1, 3). What is its y-intercept?
- 1 (Correct answer)
- 2
- 3
- 5
Correct answer: 1
Using y = 2x + b with (1,3): 3 = 2 + b, so b = 1.
Question 7: If a shirt costs $40 after a 20% discount, what was its original price?
- $48
- $50 (Correct answer)
- $52
- $60
Correct answer: $50
$40 is 80% of the original, so original = 40 / 0.8 = $50.
PSAT/NMSQT Mathematical Problem Solving 2
A store sells notebooks at 3 for $4.50.
At this rate, how much do 10 notebooks cost?