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 ID: 780617
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Slide1
Vectors – Proofs – 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.
Slide2To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click:File > Print > ‘Print Selection’To print double-sided handouts - Highlight both slides before using ‘Print Selection’.Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.
Printing
Slide3AQA Higher: June 2017 Paper 2, Q23
Is
ACD
a straight line?
Show working to support your answer.
1
[3 marks]
Answer
Not drawn
accurately
4
a
−
b
A
B
C
D
5
a
−
3
b
4
b
−
8
a
AQA Higher: June 2017 Paper 2, Q23
Is
ACD
a straight line?
Show working to support your answer.
1
[3 marks]
Answer
Not drawn
accurately
4
a
−
b
A
B
C
D
5
a
−
3
b
4
b
−
8
a
Slide4Slide5AQA Higher: November 2017 Paper 2, Q26
1
[3 marks]
Not drawn
accurately
ABCDE
is a pentagon.
Show that
ABDE
is a parallelogram
A
E
D
C
B
a
2
b
b
−
2
a
3
a
−
3
b
AQA Higher: November 2017 Paper 2, Q26
1
[3 marks]
Not drawn
accurately
ABCDE
is a pentagon.
Show that
ABDE
is a parallelogram
A
E
D
C
B
a
2
b
b
−
2
a
3
a
−
3
b
Slide6Slide7AQA Higher: June 2017 Paper 2, Q23
Is
ACD
a straight line?
Show working to support your answer.
1
[3 marks]
Answer
Not drawn
accurately
4
a
−
b
A
B
C
D
5
a
−
3
b
4
b
−
8
a
Slide8AQA Higher: November 2017 Paper 2, Q26
1
[3 marks]
Not drawn
accurately
ABCDE
is a pentagon.
Show that
ABDE
is a parallelogram
A
E
D
C
B
a
2
b
b
−
2
a
3
a
−
3
b
Slide9AQA Higher: June 2017 Paper 2, Q23
Is
ACD
a straight line?
Show working to support your answer.
1
[3 marks]
Answer
Not drawn
accurately
4
a
−
b
A
B
C
D
5
a
−
3
b
4
b
−
8
a
Are AC and CD parallel?
AC = 4a – b – (5a – 3b)
= 4a – b – 5a + 3b
= 2b – a
CD = 5a – 3b + (4b – 8a)
= 5a – 3b + 4b – 8a
= 6b – 3a
AC × 3 = 6b – 3a
Yes, they are parallel.
ACD is a straight line.
3(AC) = CD
Slide10AQA Higher: November 2017 Paper 2, Q26
1
[3 marks]
Not drawn
accurately
ABCDE
is a pentagon.
Show that
ABDE
is a parallelogram
A
E
D
C
B
AB = ED
AE = BD
a
2
b
b
−
2
a
AB = (b
−
2a) + (2b) + (
−
a) = 3b
−
3a
3
a
−
3
b
ED =
−
(3a
−
3b) = 3b-3a
So, AB = ED
BD = (a) + (
−
2b) = a
−
2b
AE = (b
−
2a) + (3a − 3b) = a −
2bSo, BD = AE
Parallel
Parallel
Slide11Questions?
Comments?
Suggestions?
…or have you found a mistake!?Any feedback would be appreciated .Please feel free to email:tom@goteachmaths.co.uk