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.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
(a)8.15 ≤ y < 8.25
(b)8.15 < y < 8.25
(c)8.1 ≤ y < 8.2
(d)8.2 ≤ y < 8.3
2.Work out the value of $2^{3} + 3^{2}$ .
(a)17
(b)72
(c)12
(d)−1
3.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.
(a)42.5 ≤ t < 47.5
(b)40 ≤ t < 50
(c)42.5 ≤ t ≤ 47.5
(d)44.5 ≤ t < 45.5
4.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.
(a)25/2
(b)1/125
(c)4/5
(d)2/25
5.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?
(a)5/4
(b)5/9
(c)4/9
(d)4/5
6.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
7.Work out the highest common factor of 20 and 32.
(a)8
(b)4
(c)2
(d)160
8.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?
(a)3.49 kg
(b)2.50 kg
(c)3.50 kg
(d)2.90 kg
9.Write down the symbol that makes this statement true: 3/10 ___ 0.3
(a)=
(b)<
(c)≠
(d)>
10.Given that 2⁵ = 32, work out 2⁶.
(a)34
(b)37
(c)192
(d)64
11.Amelia eats 5/8 of a bar of chocolate and Oliver eats 3/4 of an identical bar. Write both amounts as eighths and write down the greater of the two fractions.
(a)7/8
(b)1/8
(c)6/8
(d)5/8
12.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
13.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.
(a)16
(b)30
(c)60
(d)2
14.Round 24,681 to the nearest 1,000.
(a)24,700
(b)24,000
(c)20,000
(d)25,000
15.Which of these numbers is the largest: −9, −7, −4, −2?
(a)−7
(b)−4
(c)−2
(d)−9

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