Question 1 Easy
On the sine graph, find the value at 0 degrees.
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Answer: 0
- Sine graph starts at the origin (0, 0).
- Value is 0.
- Method (1): Sine graph starts at the origin (0, 0).
- Accuracy (1): Value is 0.
Trigonometric & exponential graphs practice questions with answers
A second set of trigonometric & exponential graphs questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.
More questions
Question 2 Easy
On the cosine graph, find the value at 0 degrees.
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Answer: 1
- Cosine graph starts at its maximum (0, 1).
- Value is 1.
- Method (1): Cosine graph starts at its maximum (0, 1).
- Accuracy (1): Value is 1.
Question 3 Medium
On the exponential graph, find the value of 2³.
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Answer: 8
- 2³ = 2 × 2 × 2.
- Value is 8.
- Method (1): 2³ = 2 × 2 × 2.
- Accuracy (1): Value is 8.
Question 4 Medium
On the exponential graph, find the value of 2⁴.
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Answer: 16
- 2⁴ = 2 × 2 × 2 × 2.
- Value is 16.
- Method (1): 2⁴ = 2 × 2 × 2 × 2.
- Accuracy (1): Value is 16.
Question 5 Hard
On the cosine graph, find the value at 90 degrees.
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Answer: 0
- Cosine crosses the x-axis at 90 degrees.
- Value is 0.
- Method (1): Cosine crosses the x-axis at 90 degrees.
- Accuracy (1): Value is 0.
Question 6 Hard
On the tangent graph, find the value at 0 degrees.
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Answer: 0
- Tangent passes through the origin.
- tan 0 = 0.
- Method (1): Tangent passes through the origin.
- Accuracy (1): tan 0 = 0.
Exam-style question
A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.
Exam-style question 12 marks
Write down the value of (a) sin 90°, (b) cos 180°.
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Answer: 1 and -1
- The sine graph peaks at 90 degrees, so sin 90° = 1.
- The cosine graph is at its lowest point at 180 degrees, so cos 180° = -1.
- Mark (1): sin 90° = 1
- Mark (1): cos 180° = -1
Quick checks
Short one-step questions. Pick an option before you open the answer.
Check 1
On the sine graph, what is the height at 90 degrees?
- 1
- 90
- 2
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1 Peak height at 90 degrees is 1.
Check 2
Sine returns to the axis at 180 degrees. What is the value?
- 0
- 1
- 180
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0 On the axis, value is 0.
Check 3
Sine is at the bottom of the wave at 270 degrees. What is the value?
- 0
- -1
- -2
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-1 Minimum value at 270 degrees is -1.
Check 4
On the cosine graph, what is the height at 0 degrees?
- 0
- 2
- 1
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1 Cosine starts at maximum height 1.
Check 5
On the cosine graph, what is the height at 180 degrees?
- -1
- 180
- 0
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-1 Trough at 180 degrees is -1.
Check 6
What is cos 60 on the cosine graph?
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cos 60 = 1/2. cos 60 = 1/2.
Check 7
What is tan 45 on the tangent graph?
- 1
- 45
- 2
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1 tan 45 = 1.
Check 8
What is the period of sine, in degrees?
- 359
- 360
- 720
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360 Full sine cycle is 360 degrees.
Check 9
What is 2³ on the exponential graph?
- 8
- 16
- 9
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8 2 × 2 × 2 = 8.
Check 10
A power of zero on the exponential graph gives what for 2⁰?
- 2
- 1
- 0
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1 Any non-zero base to power 0 is 1.
Check 11
Four factors of 2 on the exponential graph give what for 2⁴?
- 32
- 15
- 16
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16 2⁴ = 16.
Check 12
Why is sine at 0 not the same as cosine at 0?
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Sine starts at origin (0, 0) and cosine at (0, 1). Sine starts at origin (0, 0) and cosine at (0, 1).
Check 13
Where does the sine graph reach -1?
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At 270 degrees. At 270 degrees.
Check 14
Does the exponential graph wave up and down?
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No, exponential growth increases continuously. No, exponential growth increases continuously.
Check 15
What is cos 90?
- 1
- 0
- 90
Show answer
0 Cosine crosses the axis at 90 degrees with value 0.
Keep going with Trigonometric & exponential graphs
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AQA-style and Edexcel-style questions. Yumio is not affiliated with, endorsed by or connected to AQA, Pearson Edexcel or any other exam board.