Question 1 2 marks
Work out 3.6 × 0.4.
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1.44
3.6 × 0.4 = 1.44. Check: 3.6 × 0.5 = 1.8, so 1.44 is a bit less.
GCSE Maths Foundation practice paper
You should be able to do these without a calculator. It is a short paper, not a full 80-mark exam. 27 marks.
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Question 2 1 marks
Simplify the ratio 18 : 24.
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3 : 4
Divide both parts by 6.
Question 3 2 marks
Find 15% of £80.
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£12
10% is £8 and 5% is £4, so 15% is £12.
Question 4 2 marks
Solve 4x + 7 = 31.
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x = 6
4x = 24, so x = 6.
Question 5 3 marks
A rectangle is 9 cm by 4 cm. Work out the area and the perimeter.
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Area 36 cm², perimeter 26 cm
Area 9 × 4 = 36. Perimeter 9 + 4 + 9 + 4 = 26.
Question 6 1 marks
The probability it rains is 0.3. Work out the probability it does not rain.
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0.7
1 − 0.3 = 0.7.
Question 7 3 marks
Share £90 in the ratio 2 : 3.
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£36 and £54
5 parts. One part is £18. Two parts £36, three parts £54.
Question 8 1 marks
Expand 3(x + 5).
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3x + 15
3 × x and 3 × 5.
Question 9 2 marks
A triangle has base 8 cm and perpendicular height 5 cm. Work out the area.
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20 cm²
½ × 8 × 5 = 20.
Question 10 2 marks
The numbers are 4, 7, 9 and 12. Work out the mean.
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8
4 + 7 + 9 + 12 = 32 and 32 ÷ 4 = 8.
Question 11 3 marks
A right-angled triangle has shorter sides 6 cm and 8 cm. Work out the hypotenuse.
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10 cm
6² + 8² = 36 + 64 = 100 = 10².
Question 12 2 marks
Increase 40 by 20%.
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48
10% of 40 is 4, so 20% is 8, and 40 + 8 = 48.
Question 13 2 marks
Two angles of a triangle are 50° and 60°. Work out the third.
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70°
Angles in a triangle sum to 180°. 180 − 50 − 60 = 70.
Question 14 1 marks
Write 4500 in standard form.
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4.5 × 10³
4.5 is between 1 and 10, and 4500 = 4.5 × 1000.