PSAT/NMSQT Math: Problem and Data Analysis 2

Question 1

A store sells a jacket for $80 after a 20% discount. What was the original price?

Accepted Answer

$100

Answer

If $80 is 80% of the original, then original = 80 ÷ 0.80 = $100.

Question 2

A recipe uses 3 cups of flour for every 2 cups of sugar. How many cups of flour are needed for 5 cups of sugar?

Accepted Answer

7.5

Answer

Set up 3/2 = x/5, so x = 15/2 = 7.5 cups.

Question 3

The mean of five numbers is 12. If four of the numbers are 8, 10, 14, and 16, what is the fifth number?

Accepted Answer

12

Answer

The total must be 5 × 12 = 60; the four known sum to 48, so the fifth is 12.

Question 4

A car travels 150 miles in 3 hours. At this rate, how far will it travel in 5 hours?

Accepted Answer

250 miles

Answer

The rate is 50 mph, so in 5 hours it travels 50 × 5 = 250 miles.

Question 5

A survey of 200 people found that 45% prefer coffee. How many people prefer coffee?

Accepted Answer

90

Answer

0.45 × 200 = 90 people.

PSAT/NMSQT Practice Test