1. Angles – Parallel Lines – Foundation – GCSE Questions
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 a variety of sizes.

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3. GCSE GCSE < < < < < < < <
Edexcel Foundation: November 2017 Paper 1, Q25
Edexcel Foundation: November 2017 Paper 1, Q25 1 C D 1 C
<
< D
76°
76°
<
<
<
< B
< B
<
54° A
54° A F F E E
ABCD is a parallelogram.
EAD is a straight line.
F is the point on AB so that CFE is a straight line.
Angle EFA = 54°
Angle ADC = 76°
Show that the angle BCF = 50°
Give a reason for each stage of your working.
ABCD is a parallelogram.
EAD is a straight line.
F is the point on AB so that CFE is a straight line.
Angle EFA = 54°
Angle ADC = 76°
Show that the angle BCF = 50°
Give a reason for each stage of your working.
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)

5. GCSE GCSE Edexcel Foundation: June 2018 Paper 2, Q15
Germaine needs to find out the size of angle x in this diagram. 1
Germaine needs to find out the size of angle x in this diagram. B B x x
62°
62°
He writes
x = 62° because base angles of an isosceles triangle are equal.
Mary is wrong.
(a) Explain why. A C
He writes
x = 62° because base angles of an isosceles triangle are equal.
Mary is wrong.
(a) Explain why. A C
(1)
(1)
May needs to work out the size of angle y in this diagram.
May needs to work out the size of angle y in this diagram. J J I K I K
54°
54° y y G H G H
May writes.
May writes.
Working
Reason
angle GJK = 180° − 54°
= 126°
because angles on a straight line add up to 180°
angle y = 126°
because co-interior/allied angles are equal
Working
Reason
angle GJK = 180° − 54°
= 126°
because angles on a straight line add up to 180°
angle y = 126°
because co-interior/allied angles are equal
One of May’s reasons is wrong.
(b) Write down the correct reason.
One of May’s reasons is wrong.
(b) Write down the correct reason.
(1)
(1)
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks)

7. GCSE < < < <
Edexcel Foundation: November 2017 Paper 1, Q25 1 C
< D
76°
<
< B
< A F
54° E
ABCD is a parallelogram.
EAD is a straight line.
F is the point on AB so that CFE is a straight line.
Angle EFA = 54°
Angle ADC = 76°
Show that the angle BCF = 50°
Give a reason for each stage of your working.
(Total for Question 1 is 4 marks)

8. GCSE Edexcel Foundation: June 2018 Paper 2, Q15 1
Germaine needs to find out the size of angle x in this diagram. B x
62°
He writes
x = 62° because base angles of an isosceles triangle are equal.
Mary is wrong.
(a) Explain why. A C
(1)
May needs to work out the size of angle y in this diagram. J I K
54° y G H
May writes.
Working
Reason
angle GJK = 180° − 54°
= 126°
because angles on a straight line add up to 180°
angle y = 126°
because co-interior/allied angles are equal
One of May’s reasons is wrong.
(b) Write down the correct reason.
(1)
(Total for Question 1 is 2 marks)

9. OR GCSE GCSE Angle CFB = 54° Vertically opposite angles are equal.
Edexcel Foundation: November 2017 Paper 1, Q25
Edexcel Foundation: November 2017 Paper 1, Q25 1 C 1 C D
< D
<
76°
76°
50°
50°
<
< OR
<
<
76°
54°
104°
76°
54° B
< B
< A
54° A F
54° F E E
ABCD is a parallelogram.
EAD is a straight line.
F is the point on AB so that CFE is a straight line.
Angle EFA = 54°
Angle ADC = 76°
Show that the angle BCF = 50°
Give a reason for each stage of your working.
ABCD is a parallelogram.
EAD is a straight line.
F is the point on AB so that CFE is a straight line.
Angle EFA = 54°
Angle ADC = 76°
Show that the angle BCF = 50°
Give a reason for each stage of your working.
Angle CFB = 54°
Vertically opposite angles
are equal.
Angle CFB = 54°
Vertically opposite angles
are equal.
Angle DAF = 104°
Co-Interior angles
sum to 180°
Opposite angles in a
parallelogram are equal.
Angle CBF = 76°
Angle CBF = 76°
Co-Interior angles
sum to 180°
Angle BCF = 180 – 76 – 54 = 50°
Angle BCF = 180 – 76 – 54 = 50°
Angles in a triangle sum to 180 °
Angles in a triangle sum to 180 °
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)

10. Co-interior/Allies angles total 180 °
GCSE
Edexcel Foundation: June 2018 Paper 2, Q15 1
Germaine needs to find out the size of angle x in this diagram. B x
62°
He writes
x = 62° because base angles of an isosceles triangle are equal.
Mary is wrong.
(a) Explain why. A C
62° is not a base angle
(1)
May needs to work out the size of angle y in this diagram. J I K
54° y G H
May writes.
Working
Reason
angle GJK = 180° − 54°
= 126°
because angles on a straight line add up to 180°
angle y = 126°
because co-interior/allied angles are equal
One of May’s reasons is wrong.
(b) Write down the correct reason.
Co-interior/Allies angles total 180 °
(1)
(Total for Question 1 is 2 marks)

11. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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