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.Work out (−36) ÷ (−6) × 2
(a)3
(b)6
(c)12
(d)−12
2.Work out ∛(−27) + ∛8
(a)5
(b)−5
(c)−1
(d)−6
3.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
4.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.
(a)235 ≤ n ≤ 245
(b)235 ≤ n < 245
(c)230 ≤ n < 250
(d)239.5 ≤ n < 240.5
5.Write 0.005 in standard form.
(a)5 × 10³
(b)5 × 10⁻²
(c)5 × 10⁻³
(d)0.5 × 10⁻²
6.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.
(a)No — 493 kg is only an estimate, so it may be over 500 kg
(b)Cannot be decided without the exact total
(c)Yes — the greatest possible total is 493.5 kg, under 500 kg
(d)No — the true total could be as high as 498 kg
7.Work out 3 + 4 × (−2).
(a)−8
(b)−5
(c)−14
(d)11
8.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.
(a)3.65
(b)4.05
(c)4.5
(d)0.81
9.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.
(a)11
(b)8
(c)12
(d)9
10.Work out the highest common factor of 15 and 25.
(a)75
(b)5
(c)15
(d)3
11.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.
(a)2/5
(b)3/5
(c)2/3
(d)1/2
12.Work out −6 × (−3).
(a)−18
(b)18
(c)−9
(d)9
13.Work out 0.6 × 0.04.
(a)2.4
(b)0.24
(c)0.024
(d)0.0024
14.Work out 35% of 180.
(a)45
(b)63
(c)145
(d)126
15.Which of these numbers is the largest: −9, −7, −4, −2?
(a)−7
(b)−4
(c)−2
(d)−9

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