1. Trionometry – Angles between 0 & 360 – 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: November 2017 Paper 1, Q29
Here is a sketch of 𝑦= sin 𝑥° for –360 ⩽ 𝑥 ⩽ 360 1
Here is a sketch of 𝑦= sin 𝑥° for –360 ⩽ 𝑥 ⩽ 360 𝑦 𝑦 Q Q P P 𝑥 𝑥
[1 mark]
1 (a)
Write down the coordinates of P.
Answer ( ) ,
[1 mark]
1 (a)
Write down the coordinates of P.
Answer ( ) ,
[1 mark]
1 (b)
Write down the coordinates of Q.
Answer ( ) ,
[1 mark]
1 (b)
Write down the coordinates of Q.
Answer ( ) ,
AQA Higher: November 2017 Paper 1, Q29
AQA Higher: November 2017 Paper 1, Q29 1
Here is a sketch of 𝑦= sin 𝑥° for –360 ⩽ 𝑥 ⩽ 360 1
Here is a sketch of 𝑦= sin 𝑥° for –360 ⩽ 𝑥 ⩽ 360 𝑦 𝑦 Q Q P P 𝑥 𝑥
[1 mark]
1 (a)
Write down the coordinates of P.
Answer ( ) ,
[1 mark]
1 (a)
Write down the coordinates of P.
Answer ( ) ,
[1 mark]
1 (b)
Write down the coordinates of Q.
Answer ( ) ,
[1 mark]
1 (b)
Write down the coordinates of Q.
Answer ( ) ,

5. AQA Higher: May 2018 Paper 1, Q25 AQA Higher: May 2018 Paper 1, Q25 1
Here is a sketch of the graph of 𝑦 = cos⁡𝑥 for values of 𝑥 from 0° to 360° 1
Here is a sketch of the graph of 𝑦 = cos⁡𝑥 for values of 𝑥 from 0° to 360° 𝑦 𝑦 1 1 𝑥 𝑥
90°
180°
270°
360°
90°
180°
270°
360° −1 −1
1 (a)
cos⁡𝑥 = cos⁡60°
Work out the value of 𝑥 when 90° ⩽ 𝑥 ⩽ 360°
1 (a)
cos⁡𝑥 = cos⁡60°
Work out the value of 𝑥 when 90° ⩽ 𝑥 ⩽ 360°
[1 mark]
[1 mark]
Answer
degrees
Answer
degrees
1 (b)
cos 𝑥 =−cos⁡60°
Work out the value of 𝑥 when 180° ⩽ 𝑥 ⩽ 360°
1 (b)
cos 𝑥 =−cos⁡60°
Work out the value of 𝑥 when 180° ⩽ 𝑥 ⩽ 360°
[1 mark]
[1 mark]
Answer
degrees
Answer
degrees

7. AQA Higher: June 2017 Paper 2, Q27 AQA Higher: June 2017 Paper 2, Q27
ℎ 𝑥 = 3 𝑥 for all values of 𝑥.
On the grid, draw the graph of the inverse function 𝑦= ℎ −1 (𝑥)
for –2 ⩽ 𝑥 ⩽ 2
[2 marks]
1 (a)
ℎ 𝑥 = 3 𝑥 for all values of 𝑥.
On the grid, draw the graph of the inverse function 𝑦= ℎ −1 (𝑥)
for –2 ⩽ 𝑥 ⩽ 2
[2 marks]
1 (b)
For all values of 𝑥
𝑓 𝑥 = sin 𝑥 𝑔 𝑥 =𝑥+90
On the grid, draw the graph of the composite function 𝑦=𝑓𝑔(𝑥)
for 0° ⩽ 𝑥 ⩽ 360°
1 (b)
For all values of 𝑥
𝑓 𝑥 = sin 𝑥 𝑔 𝑥 =𝑥+90
On the grid, draw the graph of the composite function 𝑦=𝑓𝑔(𝑥)
for 0° ⩽ 𝑥 ⩽ 360°

10. AQA Higher: May 2018 Paper 1, Q25 1
Here is a sketch of the graph of 𝑦 = cos⁡𝑥 for values of 𝑥 from 0° to 360° 𝑦 1 𝑥
90°
180°
270°
360° −1
1 (a)
cos⁡𝑥 = cos⁡60°
Work out the value of 𝑥 when 90° ⩽ 𝑥 ⩽ 360°
[1 mark]
Answer
degrees
1 (b)
cos 𝑥 =−cos⁡60°
Work out the value of 𝑥 when 180° ⩽ 𝑥 ⩽ 360°
[1 mark]
Answer
degrees

11. AQA Higher: June 2017 Paper 2, Q27
ℎ 𝑥 = 3 𝑥 for all values of 𝑥.
On the grid, draw the graph of the inverse function 𝑦= ℎ −1 (𝑥)
for –2 ⩽ 𝑥 ⩽ 2
[2 marks]
1 (b)
For all values of 𝑥
𝑓 𝑥 = sin 𝑥 𝑔 𝑥 =𝑥+90
On the grid, draw the graph of the composite function 𝑦=𝑓𝑔(𝑥)
for 0° ⩽ 𝑥 ⩽ 360°

13. 300° 240° 60° 60° − Cos 60 30° AQA Higher: May 2018 Paper 1, Q25 1
Here is a sketch of the graph of 𝑦 = cos⁡𝑥 for values of 𝑥 from 0° to 360° 𝑦
60° 1
60° 𝑥
90°
180°
270°
360°
− Cos 60
30° −1
1 (a)
cos⁡𝑥 = cos⁡60°
Work out the value of 𝑥 when 90° ⩽ 𝑥 ⩽ 360°
300°
[1 mark]
Answer
degrees
1 (b)
cos 𝑥 =−cos⁡60°
Work out the value of 𝑥 when 180° ⩽ 𝑥 ⩽ 360°
240°
[1 mark]
Answer
degrees

14. AQA Higher: June 2017 Paper 2, Q27
ℎ 𝑥 = 3 𝑥 for all values of 𝑥.
On the grid, draw the graph of the inverse function 𝑦= ℎ −1 (𝑥)
for –2 ⩽ 𝑥 ⩽ 2
[2 marks]
1 (b)
For all values of 𝑥
𝑓 𝑥 = sin 𝑥 𝑔 𝑥 =𝑥+90
On the grid, draw the graph of the composite function 𝑦=𝑓𝑔(𝑥)
for 0° ⩽ 𝑥 ⩽ 360°

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