Printable · GCSE Foundation · ages 14-16

Number worksheet — GCSE Foundation

Fifteen questions across the number statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.

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Number worksheet — GCSE Foundation

Maths · GCSE Foundation · Number · 15 questions

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1.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?
(a)2/7
(b)7/5
(c)5/2
(d)5/7
2.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.
(a)0.625
(b)0.58
(c)0.85
(d)0.6
3.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.
(a)£600
(b)£400
(c)£561
(d)£570
4.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.
(a)3/5
(b)3/8
(c)5/3
(d)5/8
5.Work out 3π − π, giving your answer as a multiple of π.
(a)2
(b)2π
(c)4π
(d)3
6.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.
(a)9
(b)3
(c)27
(d)6
7.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.
(a)121 litres
(b)57 litres
(c)87 litres
(d)72 litres
8.Which statement about the number 51 is correct?
(a)51 is prime, because it is not divisible by 2, 3 or 5.
(b)51 is not prime, because it is divisible by 2.
(c)51 is prime, because it is an odd number.
(d)51 is not prime, because 51 = 3 × 17.
9.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
(a)2¹²
(b)2¹
(c)4⁷
(d)2⁷
10.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.
(a)7 × 10⁻⁴
(b)7 × 10⁻⁶
(c)7 × 10⁻⁸
(d)7 × 10⁻⁵
11.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.
(a)25π cm
(b)5π cm
(c)20π cm
(d)10π cm
12.Write 0.45 as a fraction in its simplest form.
(a)9/20
(b)9/2
(c)9/100
(d)9/200
13.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
(a)36
(b)6
(c)108
(d)216
14.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.
(a)£7.20
(b)£10.05
(c)£0.45
(d)£1.45
15.Work out −6 × (−3).
(a)−18
(b)18
(c)−9
(d)9

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