Printable · GCSE Foundation · ages 14-16

Powers and roots worksheet — GCSE Foundation

Fifteen questions on "powers and roots" — DfE statement N6. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

part HigherNon-calculator

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Powers and roots worksheet — GCSE Foundation

Maths · GCSE Foundation · N6 · Powers and roots · Non-calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.4ˣ = 64. Work out the value of x.
(a)16
(b)3
(c)4
(d)6
2.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.
(a)12.5 g
(b)25 g
(c)0.125 g
(d)300 g
3.Work out 5⁰ + 5¹ + 5²
(a)125
(b)30
(c)31
(d)35
4.Work out −(−3)⁴ + (−3)³
(a)−108
(b)54
(c)−54
(d)108
5.Work out √225 ÷ 3.
(a)8.7
(b)5
(c)75
(d)45
6.Work out √(4 × 9)
(a)5
(b)18
(c)36
(d)6
7.Work out ∛(−27) + ∛8
(a)5
(b)−5
(c)−1
(d)−6
8.Work out (3 × 5)²
(a)225
(b)30
(c)75
(d)34
9.Work out ⁴√16
(a)4
(b)8
(c)64
(d)2
10.Work out ∛64.
(a)21.3
(b)4
(c)192
(d)8
11.Work out ⁴√81
(a)3
(b)20.25
(c)4.5
(d)9
12.Work out √144
(a)72
(b)36
(c)12
(d)14
13.Work out 2⁵.
(a)10
(b)16
(c)32
(d)25
14.Work out the value of 6² − 4³.
(a)100
(b)28
(c)−28
(d)0
15.Which of these is equal to 5³?
(a)125
(b)25
(c)15
(d)53

Build your own mix at the worksheet builder.