This grade 8 square cube roots quiz asks 10 multiple-choice questions on square roots and cube roots, and each answer comes with a short explanation.
Ten multiple-choice questions check square roots, cube roots and the equations \(x^{2}=p\) and \(x^{3}=p\). Some questions use a figure. Pick the one correct answer, then read the explanation to learn from any mistake. Aim for 8 out of 10.
🎉 Quiz complete!
How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
- Standard 8.EE.A.2: solve \(x^{2}=p\) and \(x^{3}=p\) for small perfect squares and perfect cubes, and know that \(\sqrt{2}\) is irrational.
- The equation \(x^{2}=p\) with \(p>0\) has two solutions, \(\sqrt{p}\) and \(-\sqrt{p}\); \(x^{3}=p\) has exactly one.
- Perfect squares to remember: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144.
- Perfect cubes to remember: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1,000.
- The side of a square is the square root of its area; the edge of a cube is the cube root of its volume.
How to use this grade 8 square cube roots quiz
Retake this grade 8 square cube roots quiz until every answer is right, then move on to the worksheet and the test.
See every chapter on the Grade 8 math page.
