Powers & Roots (Year 9)

Free printable UK Year 9 (Key Stage 3) maths worksheet: evaluate integer powers, and find square and cube roots, distinguishing exact roots from decimal approximations.

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Grade 8 · Math worksheet

Name

Date

Math

Powers & Roots

Evaluate each power, and find each square or cube root, stating clearly whether your answer is exact or a rounded decimal approximation.

1.
Evaluate $5^{4}$ .
2.
Evaluate $3^{2}$ .
3.
Evaluate $2^{4}$ .
4.
Evaluate $7^{2}$ .
5.
Evaluate $6^{3}$ .
6.
Find $\sqrt{400}$ . Is your answer exact or a decimal approximation?
7.
Find $\sqrt{196}$ . Is your answer exact or a decimal approximation?
8.
Find $\sqrt{81}$ . Is your answer exact or a decimal approximation?
9.
Find the cube root of 343. Is your answer exact or a decimal approximation?
10.
Find the cube root of 27. Is your answer exact or a decimal approximation?
11.
Find the cube root of 1728. Is your answer exact or a decimal approximation?
12.
Find $\sqrt{101}$ , correct to 2 decimal places. Is your answer exact or a decimal approximation?
13.
Find $\sqrt{172}$ , correct to 2 decimal places. Is your answer exact or a decimal approximation?
14.
Find $\sqrt{182}$ , correct to 2 decimal places. Is your answer exact or a decimal approximation?
15.
Find $\sqrt{111}$ , correct to 2 decimal places. Is your answer exact or a decimal approximation?

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