PSAT Math Review

Number Sense

100

Evaluate: 3 + 4 × 2 - 5

6

200

What is 20% of 80?

16

300

Convert 3/4 to a percent.

75%

400

Simplify: ⅔ + ¼

11/12

500

What is 3² × 4³?

576

Algebra Basics

100

Simplify: 2a + 5a - 3a

0

200

Simplify: 3(x + 2) - 2x

x + 6

300

Solve for x: x + 5 = 13

x = 8

400

Solve: 3x - 7 = 14

x = 7

500

If f(x) = 2x + 1, what is f(3)?

f(3)=7

Geometry

100

Find the perimeter of a square with side length 6 inches.

24 inches

200

What is the area of a rectangle with length 8 cm and width 5 cm?

40cm²

300

How many sides does a pentagon have?

5 sides

400

What is the sum of the measures of the angles in a triangle?

180^o

500

What is the area of a triangle with base 10 cm and height 4 cm?

20 cm²

Data and Statistics

100

What is the mode of 2, 3, 3, 4, 5, 5, 5, 6?

5

200

What is the mean of 2, 4, 6, 8, 10?

6

300

What is the median of 3, 7, 8, 9, 11, 15?

8.5

400

In a bag of 20 marbles, 5 are red. What fraction of the marbles are red?

5/20 OR 1/4

500

If you roll a fair six-sided die, what is the probability of rolling an even number?

3/6 OR 1/2

Word Problems

100

A recipe calls for ¾ cup of sugar. If you double the recipe, how much sugar do you need?

6/4 OR 3/2

200

If a shirt costs $25 and is on sale for 20% off, what is the sale price?

$20

300

If 3 pencils cost $0.75, how much do 12 pencils cost?

$3

400

A train travels 150 miles in 2.5 hours. How far will it travel in 4 hours at the same speed?

240 miles

500

John is twice as old as his sister. The sum of their ages is 36. How old is John now?

John is 24 years old