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 · Non-calculator · 15 questions

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1.Work out the highest common factor of 15 and 25.
(a)75
(b)5
(c)15
(d)3
2.Four students work out 6 + 2 × 3. Which student has worked it out correctly?
(a)Chen: 6 × 2 = 12, then 12 + 3 = 15
(b)Dev: 2 × 3 = 5, then 6 + 5 = 11
(c)Ben: 2 × 3 = 6, then 6 + 6 = 12
(d)Amy: 6 + 2 = 8, then 8 × 3 = 24
3.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.
(a)12
(b)7
(c)20
(d)5
4.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.
(a)12.5 g
(b)25 g
(c)0.125 g
(d)300 g
5.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
(a)40
(b)11
(c)10
(d)20
6.Last year a company made a profit of £5,200,000. Write this amount in standard form.
(a)5.2 × 10⁵
(b)5.2 × 10⁶
(c)52 × 10⁵
(d)5.2 × 10⁻⁶
7.Work out the value of 2⁻⁴
(a)16
(b)−16
(c)1/8
(d)1/16
8.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
(a)3
(b)30
(c)25
(d)24
9.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.
(a)1/4
(b)3/8
(c)4/9
(d)1/2
10.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.
(a)£2.80
(b)£3.70
(c)£8.40
(d)£15.85
11.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.
(a)1/16
(b)1/8
(c)15/16
(d)3/16
12.Work out √144
(a)72
(b)36
(c)12
(d)14
13.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.
(a)2800 mm
(b)200 mm
(c)2000 mm
(d)2360 mm
14.Work out 3π − π, giving your answer as a multiple of π.
(a)2
(b)2π
(c)4π
(d)3
15.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
(a)2/3
(b)4/9
(c)2/5
(d)1/3

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