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 how many factors 100 has.
(a)8
(b)4
(c)9
(d)10
2.Write 60 as a product of its prime factors, using index notation.
(a)2 × 3 × 5
(b)2² × 3 × 5
(c)2 × 3 × 5²
(d)2² × 3² × 5
3.Work out 20 − 8 ÷ 2 + 1
(a)16
(b)15
(c)7
(d)17
4.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.
(a)9 °C
(b)6 °C
(c)3 °C
(d)−9 °C
5.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.
(a)7
(b)3
(c)1
(d)6
6.Work out −(−3)⁴ + (−3)³
(a)−108
(b)54
(c)−54
(d)108
7.Write 0.325 as a fraction in its simplest form.
(a)13/40
(b)3/8
(c)8/25
(d)13/4
8.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
9.Work out 8% of £250.
(a)£25
(b)£2
(c)£200
(d)£20
10.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
(a)4 3/8
(b)3 13/15
(c)4 1/5
(d)4 13/15
11.Which of these numbers lies between −4 and −1 on a number line?
(a)−5
(b)2
(c)0
(d)−2
12.Write down the symbol that makes this statement true: −9 ___ −4
(a)≥
(b)>
(c)<
(d)=
13.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.
(a)10 °C
(b)3 °C
(c)8 °C
(d)7 °C
14.Work out the value of $2^{3} + 3^{2}$ .
(a)17
(b)72
(c)12
(d)−1
15.Write the fraction 3/4 as a decimal.
(a)0.7
(b)0.34
(c)0.75
(d)0.25

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