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KS3 Maths Foundation Questions – Powers

1) Re-write the following sums as x:

a) 5 x 5 x 5 x 5 =

b) 2 x 2 x 2 x 2 x 2 x 2 x 2 =

c) 3 x 3 x 3 x 3 x 3 =

d) 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 =

2) Use a calculator to find:

a) 54 =

b) 26 =

c) 33 =

d) 92 =

3) write as a single power:

a) 26 x 22 =

b) 38 ÷ 33 =

c) 54 x 54 =

d) 97 ÷ 92 =

e) 82 x 86 =

f) 45 ÷ 42 =

4) Solve:

a) 45 x 422 =

b) 82 x 866 =

c) 52 x 566 =

d) 98 ÷ 944 =

e) 78 ÷ 733 =

f) 66 ÷ 644 =

KS3 Maths Higher Questions – Powers

1) Re-write the following sums as xn and work out their exact value:

a) 5 x 5 x 5 x 5 = =

b) 2 x 2 x 2 x 2 x 2 x 2 x 2 = =

c) 3 x 3 x 3 x 3 x 3 = =

d) 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 = =

2) Use a calculator to find:

a) 54 =

b) 26 =

c) 33 =

d) 92 =

3) Find the exact value of (some answers can be left as fractions) :

a) 36 x 22 =

b) 48 ÷ 33 =

c) 54 x 34 =

d) 97 ÷ 82 =

e) 112 x 56 =

f) 125 ÷ 42 =

5) Solve :

a) 4-5 x 42 =

b) 82 x 8-9 =

c) 5-2 x 56 =

d) 98 ÷ 9-4 =

e) 7-8 ÷ 73 =

f) 66 ÷ 6-4 =

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