Key Stage 3 (KS3) · Mathematics

Indices, Powers and Roots: Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Indices, Powers and Roots.

10 questions21 marksFree, no account

Question 1

1 mark

Find the value of \( \sqrt[3]{216} + 5^2 - \sqrt{49} \).

Question 2

1 mark

Find the value of \( \sqrt{144} - 2^3 + \sqrt[3]{27} \).

Question 3

1 mark

Simplify the expression \( (3x^2y^3)^3 \).

Question 4

1 mark

Evaluate \( \frac{2^5 \times 2^3}{2^4} \) and leave your answer in index form.

Question 5

1 mark

Calculate the value of \( 4^3 - \sqrt{81} + \sqrt[3]{125} \).

Question 6

2 marks

Evaluate the value of \( \sqrt{196} - \sqrt[3]{64} \).

Write your answer out first, then check it against the worked solution.

Question 7

4 marks

Simplify the expression \( \frac{(2a^3)^4}{8a^5} \) and leave your answer in index form.

Write your answer out first, then check it against the worked solution.

Question 8

2 marks

Express the number 1,000,000 as a power of 10.

Write your answer out first, then check it against the worked solution.

Question 9

4 marks

Find the value of \( \sqrt{144} - \sqrt[3]{64} + 2^5 \).

Write your answer out first, then check it against the worked solution.

Question 10

4 marks

Evaluate the following expression and give your answer in index form:
\( \frac{5^8 \times 5^3}{(5^2)^4} \)

Write your answer out first, then check it against the worked solution.

* The content provided by thinka is generated by AI and may not always be accurate or up-to-date. Please use it as a supplementary resource and verify with official materials.

You've seen the model answer. Now get yours marked.

This page can show you how a good answer looks. It cannot tell you what your answer was missing. thinka marks your written work against the real mark scheme in about 15 seconds.

Get My Answers Marked Back to the notes

Want more questions like these? Get a fresh set on this topic, graded as you go.