1. Vectors – Substitution – 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: June 2017 Paper 3, Q1
a = −3 −2 and b = 5 −4
Circle the vector 2a + b 1
a = −3 −2 and b = 5 −4
Circle the vector 2a + b
[1 mark]
[1 mark]
2 −6
−1 0
−1 −8
−11 −8
2 −6
−1 0
−1 −8
−11 −8 2
a = 2 −2 and b = −1 3
Circle the vector 2a − 2b 2
a = 2 −2 and b = −1 3
Circle the vector 2a − 2b
[1 mark]
[1 mark]
6 2
2 −10
−3 −7
6 −10
6 2
2 −10
−3 −7
6 −10
AQA Higher: June 2017 Paper 3, Q1
AQA Higher: June 2017 Paper 3, Q1 1
a = −3 −2 and b = 5 −4
Circle the vector 2a + b 1
a = −3 −2 and b = 5 −4
Circle the vector 2a + b
[1 mark]
[1 mark]
2 −6
−1 0
−1 −8
−11 −8
2 −6
−1 0
−1 −8
−11 −8 2
a = 2 −2 and b = −1 3
Circle the vector 2a − 2b 2
a = 2 −2 and b = −1 3
Circle the vector 2a − 2b
[1 mark]
[1 mark]
6 2
2 −10
−3 −7
6 −10
6 2
2 −10
−3 −7
6 −10

5. 2 2 2 2 AQA Higher: June 2018 Paper 3, Q11
b = −1 2
c = −4 7 1
a = 6 −10
b = −1 2
c = −4 7
1 (a)
Work out a + b + c
1 (a)
Work out a + b + c
[2 marks]
[2 marks]
2 2
2 2
Answer
Answer
1 (a)
Show that a + 2c = kb, where k is an integer.
1 (a)
Show that a + 2c = kb, where k is an integer.
[2 marks]
[2 marks]

8. 2 2 AQA Higher: June 2018 Paper 3, Q11 1 a = 6 −10 b = −1 2 c = −4 7
Work out a + b + c
[2 marks]
2 2
Answer
1 (a)
Show that a + 2c = kb, where k is an integer.
[2 marks]

10. × 2 6−1−4 −10+2+7 1 −1 1 −1 6+2(−4) −10+2(7) = 6−8) −10+14 −2 4
AQA Higher: June 2018 Paper 3, Q11 1
a = 6 −10
b = −1 2
c = −4 7
1 (a)
Work out a + b + c
[2 marks]
6−1−4 −10+2+7
1 −1
1 −1
2 2
Answer
1 (a)
Show that a + 2c = kb, where k is an integer.
6+2(−4) −10+2(7) = 6−8) −10+14
[2 marks]
−2 4
b = −1 2
= −2 4
× 2
k = 2

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