GCSE Maths: Higher Paper 3 specimen (PDF)

The AQA GCSE Maths Higher calculator specimen paper — real exam questions on trigonometry, probability and ratio. Each card deep-links to the page.

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What is the square root of 100 million?
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10,000
What is the exterior angle of a regular octagon?
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45°
If pressure decreases by 14% per km above sea level, by what percentage does it decrease over 1 km?
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14%
When x² = 16, what are all possible values of x?
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x = 4 or x = −4 (both positive and negative square roots)
Is y² always greater than y when y is positive?
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No. When 0 < y < 1, y² is less than y (e.g., 0.5² = 0.25).
The nth term of a sequence is 2ⁿ + 2⁽ⁿ⁻¹⁾. The 10th term is ?.
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1536
What is the simplified equivalent of 4(2ⁿ + 2⁽ⁿ⁻¹⁾)?
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2⁽ⁿ⁺²⁾ + 2⁽ⁿ⁺¹⁾
What is the factorisation of 3x² + 14x + 8?
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(3x + 2)(x + 4)
What is the equation of the curve y = x² − 5x + 2 after reflection in the x-axis?
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y = −x² + 5x − 2
In probability, if Bag X has 9 blue and 18 red balls, what is P(picking a blue ball)?
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9/27 = 1/3

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