Printable · GCSE Foundation · ages 14-16

Calculating with roots and indices worksheet — GCSE Foundation

Fifteen questions on "calculating with roots and indices" — DfE statement N7. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Calculating with roots and indices worksheet — GCSE Foundation

Maths · GCSE Foundation · N7 · Calculating with roots and indices · 15 questions

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1.Simplify x⁶ ÷ x²
(a)x¹²
(b)x³
(c)x⁸
(d)x⁴
2.Work out the value of √49 + ∛27
(a)10
(b)34
(c)16
(d)21
3.Simplify (y³)⁴, giving your answer as a single power of y.
(a)y¹²
(b)12y
(c)y⁷
(d)y⁸¹
4.Work out the value of √64.
(a)16
(b)4
(c)32
(d)8
5.Work out the value of 2⁻²
(a)4
(b)−4
(c)1/4
(d)−1/4
6.Write down the value of 3⁰
(a)3
(b)0
(c)1/3
(d)1
7.Work out the value of ∛8.
(a)24
(b)2
(c)4
(d)64
8.Work out the value of 5³.
(a)8
(b)53
(c)125
(d)15
9.Simplify x⁷ × x⁴, giving your answer as a single power of x.
(a)x¹¹
(b)11x
(c)x³
(d)x²⁸
10.Write down the value of 7⁰
(a)1/7
(b)1
(c)7
(d)0
11.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
(a)3⁷
(b)3³
(c)3⁻³
(d)3¹⁰
12.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
(a)2¹²
(b)2¹
(c)4⁷
(d)2⁷
13.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
(a)x⁶
(b)x⁴
(c)6x
(d)x¹⁰
14.Work out the value of 2⁻⁴
(a)16
(b)−16
(c)1/8
(d)1/16
15.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
(a)5⁻⁶
(b)5²
(c)5⁻⁸
(d)5⁶

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