Grade 8 Math Quiz
Practice Grade 8 math questions about linear equations, exponents, square roots, functions, slope, geometry, the Pythagorean theorem, scientific notation, and data interpretation. Use hints when needed, choose an answer, and review the explanation after each question.
Simplify: 2³ × 2⁴
What is √144?
Find the slope of a line that passes through (2, 3) and (6, 11).
If y = 3x - 2, what is y when x = 5?
A right triangle has legs 9 and 12. What is the hypotenuse?
Write 0.00056 in scientific notation.
Solve the system: x + y = 12 and x - y = 4. What is x?
What is the volume of a cube with side length 5?
The data set is 6, 8, 10, 12, 14. What is the mean?
Your result
You answered 0 out of 10 questions correctly.
Grade 8 math shifts from isolated calculations to models, rules, and representations
The 10 questions on this page cover linear equations, exponent rules, square roots, slope, functions, the Pythagorean theorem, scientific notation, systems, volume, and mean. At this level, the important skill is often recognizing which representation makes the problem easiest.
Same base means the exponent records repeated multiplication
The quiz asks for 2³ × 2⁴. Instead of multiplying 8 × 16 first, preserve the common base and combine the counts of factors.
Slope measures how much y changes for each unit of x
The points (2, 3) and (6, 11) define the same slope no matter which point you start from, as long as numerator and denominator use the same direction.
A function turns an input into an output according to a rule
For y = 3x − 2, substituting x = 5 means the function applies “multiply by 3, then subtract 2.”
The theorem connects the three sides of a right triangle through squares
The current triangle has legs 9 and 12. The hypotenuse must be longer than either leg, and the square relationship identifies it exactly.
Scientific notation separates the size of a number from its significant digits
To rewrite 0.00056, move the decimal until the leading factor is between 1 and 10. Moving four places to the right requires a power of 10⁻⁴.
Two equations describe two conditions that must be true at the same time
In x + y = 12 and x − y = 4, the y-terms are already opposites. That makes elimination the shortest route.
Add the equations
Finish and check
Use the quiz result to identify the representation that needs practice
Instead of treating the score as one number, group mistakes by the kind of mathematics involved.