8th Grade Math Practice Test

8th Grade Math Practice Test

8th grade math · test prep · state test style

1. Multiple choice. Circle the correct answer.

1. 8⁴ written as a power of 2 is

a) 2⁷b) 2⁸c) 2³²d) 2¹²

2. A line goes down 4 units for every 2 units it goes to the right. Its slope is

a) −1/2b) −2c) −4d) 2

3. Jake’s mean score on four tests is 80. What must he score on the fifth test to raise his mean to 82?

a) 90b) 84c) 100d) 82

4. A car travels at 60 miles per hour. How far does it go in 45 minutes?

a) 40 milesb) 60 milesc) 80 milesd) 45 miles

5. A prism has a base area of 12 cm² and a height of 5 cm. Its volume is

a) 60 cm³b) 120 cm³c) 17 cm³d) 30 cm³

6. Which point lies on the line y = −2x + 5?

a) (−1, 3)b) (2, 1)c) (1, 2)d) (2, 9)

7. How long is the diagonal of a square with 5 cm sides?

a) 5√2 cmb) 25 cmc) 5√3 cmd) 10 cm

8. Two parallel lines are cut by a transversal. One angle measures 70°. Its alternate interior angle measures

a) 180°b) 110°c) 70°d) 20°

9. For the function y = 4x − 1, what is y when x = 3?

a) 12b) 11c) 7d) 13

10. A cone has a radius of 2 ft and a height of 6 ft. Its volume is

a) 4π ft³b) 12π ft³c) 24π ft³d) 8π ft³

2. Circle T if the sentence is true or F if it is false.

In y = mx + b, b is the y-intercept.TF

50% of 80 is the same as 80% of 50.TF

(a + b)² equals a² + b² for all numbers a and b.TF

If the edge of a cube doubles, its volume doubles too.TF

At 60 mph, you travel 30 miles in 20 minutes.TF

3(x − 2) and 3x − 6 are equal for every x.TF

3. Open response. Show your work and write the answer.

A bike costs $500. In March its price was cut by 10%, and in April the new price was cut by another 20%. What was the price in April? By what percent did the price drop over the two months?

Answer:

3 notebooks and 2 pens cost $19. A pen costs $2 more than a notebook. How much does a notebook cost, and how much does a pen cost? Write an equation and solve it.

Answer:

A taxi charges $3 to start plus $2 per mile. Write an equation for the cost C of a ride of m miles. How much does a 12-mile ride cost? How many miles can you ride for $25?

Answer:

About this worksheet

A full practice test before the 8th grade state math test, with questions from every topic: percents, exponents and scientific notation, linear equations, functions and slope, the Pythagorean theorem and angles, volume, statistics and probability. Ten multiple-choice questions and six true-or-false statements are drawn from more than 130 on every print, so each test is different. Three open-response problems are worked out on squared paper. The questions take the forms of end-of-year state math tests: multiple choice, true or false, and open-response problems with room to show the work. Every print draws other multiple-choice and true-or-false questions in another order, and the answer key marks the right answers.

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