1. Indices – Mixed – Higher – GCSE Questions – AQA
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in 2 sizes.

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3. AQA Higher: May 2017 Paper 1, Q1 AQA Higher: May 2017 Paper 1, Q1
Simplify 24 × 22
[1 mark] 1
Simplify 24 × 22
[1 mark]
Circle your answer.
Circle your answer. 28 46 46 26 28 46 46 26 2
Simplify 35 × 36
[1 mark] 2
Simplify 35 × 36
[1 mark]
Circle your answer.
Circle your answer.
930
911
311
330
930
911
311
330 3
Simplify 25 × 25
[1 mark] 3
Simplify 25 × 25
[1 mark]
Circle your answer.
Circle your answer.
225
210
425
410
225
210
425
410
AQA Higher: May 2017 Paper 1, Q1
AQA Higher: May 2017 Paper 1, Q1 1
Simplify 24 × 22
[1 mark] 1
Simplify 24 × 22
[1 mark]
Circle your answer.
Circle your answer. 28 46 46 26 28 46 46 26 2
Simplify 35 × 36
[1 mark] 2
Simplify 35 × 36
[1 mark]
Circle your answer.
Circle your answer.
930
911
311
330
930
911
311
330 3
Simplify 25 × 25
[1 mark] 3
Simplify 25 × 25
[1 mark]
Circle your answer.
Circle your answer.
225
210
425
410
225
210
425
410

5. AQA Higher: November 2017 Paper 3, Q6
Show that 268 can be written as
the sum of a power of 3 and a square number. 1
Show that 268 can be written as
the sum of a power of 3 and a square number.
[2 marks]
[2 marks]
Answer
Answer
AQA Higher: November 2017 Paper 3, Q6
AQA Higher: November 2017 Paper 3, Q6 1
Show that 268 can be written as
the sum of a power of 3 and a square number. 1
Show that 268 can be written as
the sum of a power of 3 and a square number.
[2 marks]
[2 marks]
Answer
Answer

7. AQA Higher: November 2017 Paper 1, Q30
Work out the value of 16 − 1 4
Work out the value of 16 − 1 4
1 (a)
1 (a)
[2 marks]
[2 marks]
Answer
Answer
1 (b)
Write 32× 4 4𝑥 as a power of 2 in terms of 𝑥.
1 (b)
Write 32× 4 4𝑥 as a power of 2 in terms of 𝑥.
[3 marks]
[3 marks]
Answer
Answer
AQA Higher: November 2017 Paper 1, Q30
AQA Higher: November 2017 Paper 1, Q30
Work out the value of 16 − 1 4
Work out the value of 16 − 1 4
1 (a)
1 (a)
[2 marks]
[2 marks]
Answer
Answer
1 (b)
Write 32× 4 4𝑥 as a power of 2 in terms of 𝑥.
1 (b)
Write 32× 4 4𝑥 as a power of 2 in terms of 𝑥.
[3 marks]
[3 marks]
Answer
Answer

9. AQA Higher: May 2018 Paper 1, Q24 AQA Higher: May 2018 Paper 1, Q24
Work out the value of ÷
Give your answer as a fraction in its simplest form.
1 (a)
Work out the value of ÷
Give your answer as a fraction in its simplest form.
[3 marks]
[3 marks]
Answer
Answer
Work out the value of
Work out the value of
1 (b)
[2 marks]
1 (b)
[2 marks]
Answer
Answer
AQA Higher: May 2018 Paper 1, Q24
AQA Higher: May 2018 Paper 1, Q24
1 (a)
Work out the value of ÷
Give your answer as a fraction in its simplest form.
1 (a)
Work out the value of ÷
Give your answer as a fraction in its simplest form.
[3 marks]
[3 marks]
Answer
Answer
Work out the value of
Work out the value of
1 (b)
[2 marks]
1 (b)
[2 marks]
Answer
Answer

11. AQA Higher: June 2018 Paper 2, Q18 AQA Higher: June 2018 Paper 2, Q18
The solution of 4𝑥 = lies between
two consecutive integers.
Work out the two integers. 1
The solution of 4𝑥 = lies between
two consecutive integers.
Work out the two integers.
[1 mark]
[1 mark]
Answer
and
Answer
and
AQA Higher: June 2018 Paper 2, Q18
AQA Higher: June 2018 Paper 2, Q18 1
The solution of 4𝑥 = lies between
two consecutive integers.
Work out the two integers. 1
The solution of 4𝑥 = lies between
two consecutive integers.
Work out the two integers.
[1 mark]
[1 mark]
Answer
and
Answer
and

21. AQA Higher: May 2018 Paper 1, Q24
1 (a)
Work out the value of ÷
Give your answer as a fraction in its simplest form.
=220
[3 marks]
217 ÷ 2 20 = 2 −3 = 1 23 = 1 8
1 8
Answer
Work out the value of
1 (b)
[2 marks]
= =43=4 × 4 × 4
=16 × 4 64
Answer

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