Exponents quiz
A free exponents quiz for grades 5, 6 and 8 (class 5 to 8): 10 mixed questions on powers, roots and scientific notation, marked one at a time.
🧒 Kids: pick your grade, then answer 10 questions. Tap Check ✓ after each one!
What each grade’s quiz covers
| Grade | Question types | Learn it |
|---|---|---|
| Grade 5 (class 5) | Powers of 10, multiplying by powers of 10, square numbers and first powers | Powers of 10 |
| Grade 6 (class 6) | Writing and working out powers, squares, cubes, powers of 10 and square roots | 6th grade exponents |
| Grade 8 (class 8) | Exponent rules, zero and negative exponents, scientific notation, roots, estimating roots and true or false | 8th grade exponents |
There is no grade 7 quiz because exponents are not a grade 7 topic under Common Core. A grade 7 child can take the grade 6 quiz for review or the grade 8 quiz as a stretch.
What is in the quiz?
Pick a grade and answer 10 mixed questions. Most ask for a number, and some ask for a fraction, a base and an exponent, or a number in scientific notation. A few are true or false.
A wrong answer shows the working, such as each multiplication or the rule used. That turns every mistake into a short lesson. Play again gives a fresh quiz every time.
Fractions have a top box and a bottom box, and scientific notation has one box for the number and one for the power of 10. The number pad has a minus key and a point key.
How to use the quiz
- As a check-up: take the quiz for your child’s grade once a week and note the score.
- Read the working: every wrong answer shows how to do it. Talk through one together.
- Go back a grade if the score is under 6 out of 10. Most grade 8 mistakes start with grade 6 slips, like 2⁵ = 10.
- For one skill at a time, use the exponents practice tool and pick a skill.
- To track progress step by step, use the exponents levels.
You can link straight to a grade: grade 5 · grade 6 · grade 8.
What the score means
| Score | What to do next |
|---|---|
| 9 or 10 | Secure. Try the next grade, or the next level. |
| 7 or 8 | Nearly there. Read the working for the misses and retake in a few days. |
| 6 or less | Go back to the lessons for the question types missed, or try the grade below. |
Look at which questions were missed, not just the total. Three misses on roots need a different fix from three misses on scientific notation.
The errors the quiz shows up
Exponent mistakes follow a few patterns. Spotting the pattern tells you what to teach next.
- Base times exponent: 2⁵ = 10. See what is an exponent.
- Halving for a square root: √36 = 18. See square roots.
- Multiplying exponents in a product: 2³ × 2⁴ = 2¹². See exponent rules.
- Negative exponents read as negative numbers: 2⁻³ = −8. See zero and negative exponents.
- The decimal point moving the wrong way: 0.003 = 3 × 10³. See scientific notation.
More exponents practice
- Exponents practice: 15 skills, from writing powers to scientific notation.
- Exponent calculator with every step, to check homework.
- Exponents levels: 8 steps from powers to scientific notation.
- Printable exponents worksheet.
For teachers
The quiz works on a projector or interactive whiteboard. Share a link for a grade and each child gets their own random questions. Nothing needs a login, and no student data leaves the device.
Practice questions (answers below)
Ask these out loud or write them down. Check each answer, and ask “how did you get that?” for one or two.
- Grade 5: 10³
- Grade 5: 7 × 10²
- Grade 5: 6²
- Grade 6: 2⁵
- Grade 6: √49
- Grade 6: 4³
- Grade 8: 5³ × 5²
- Grade 8: 2⁻³
- Grade 8: 3,400 in scientific notation
- Grade 8: ∛(−8)
Show the answers
- 1,000
- 700
- 36
- 32
- 7
- 64
- 5⁵
- 1/8
- 3.4 × 10³
- −2
Common mistakes
How to teach it at home
Weekly check-in
Same day each week, same grade, note the score.
Beat your score
Children love beating last week’s number.
Explain one
Ask your child to teach you one question.
By grade
More for each grade: Grade 5 math and the CBSE class 5 maths guide; Grade 6 math and the CBSE class 6 maths guide; Grade 8 math and the CBSE class 8 maths guide.
Worksheets and practice
Exponents worksheet: printable PDF with an answer key. · Make a fresh test
Last reviewed
Questions parents ask
Is this exponents quiz free?
Yes, free with no sign-up. Every quiz is new, so it can be used again and again.
Which grade quiz should my child take?
Their school grade. If they score under 6 out of 10, try the grade below first. Grade 7 children can take the grade 6 quiz for review.
How do I type a fraction or scientific notation?
Fractions have a top box and a bottom box. Scientific notation has a box for the number between 1 and 10 and a box for the power of 10.
What does the grade 8 quiz cover?
The exponent rules, zero and negative exponents, scientific notation and its operations, square and cube roots, and estimating roots.
Can teachers use this quiz in class?
Yes. Share the link for a grade, such as /exponents/quiz/?g=8, and every child gets their own random questions.