8th Grade Math Quiz
15 questions · free · new questions every attempt · Updated September 26, 2026
Eighth grade math prepares students for Algebra 1. The main threads are linear relationships, exponent rules, the Pythagorean theorem and scientific notation. This quiz weaves them together and gives a full explanation for every answer so you can learn from each mistake.
What this quiz covers
- Finding a hypotenuse or a missing leg
- Solving equations with variables on both sides
- Slope between two points
- Laws of exponents
- Writing large numbers in scientific notation
- Volume of a cylinder and square roots of perfect squares
How to prepare
For slope, subtract the y-values and the x-values in the same order. For exponent rules, add exponents when multiplying like bases, subtract when dividing, and multiply when raising a power to a power. Learn the common Pythagorean triples (3-4-5, 5-12-13, 8-15-17).
Sample questions with answers
These five questions show the style. Your quiz above will have different numbers each time.
- A right triangle has legs 5 and 12. What is the length of the hypotenuse?
Show answer
13. c² = 5² + 12² = 169, so c = 13.
- A right triangle has hypotenuse 13 and one leg 5. What is the other leg?
Show answer
12. b² = 13² − 5² = 144, so b = 12.
- Solve for x: 8x + (-4) = 2x + 8
Show answer
2. Subtract 2x from both sides: 6x + -4 = 8. Then x = (8 − -4) ÷ 6 = 2.
- Find the slope of the line through (0, 3) and (2, 1).
Show answer
-1. slope = (y₂ − y₁) ÷ (x₂ − x₁) = (1 − 3) ÷ (2 − 0) = -1.
- Simplify 3⁴ × 3⁶.
Show answer
3¹⁰. When multiplying powers with the same base, add the exponents.
Frequently asked questions
What topics are in 8th grade math?
Linear equations and functions, systems of equations, exponents and scientific notation, the Pythagorean theorem, transformations and volume.
Where can I learn more about the Pythagorean theorem?
Read our Pythagorean theorem guide or use the calculator.
Will there be new questions if I retake it?
Yes, each attempt generates a new set with different numbers.
Keep practising
Reviewed September 26, 2026 by the SolveCalcPro editorial team. Questions are generated from tested formulas. Spot a mistake? Tell us.