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 block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.
(a)240 ≤ m < 250
(b)245 ≤ m < 255
(c)245 < m ≤ 255
(d)240 ≤ m < 260
2.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.
(a)12
(b)240
(c)16
(d)15
3.Work out √225 ÷ 3.
(a)8.7
(b)5
(c)75
(d)45
4.Work out the value of 2⁻⁴
(a)16
(b)−16
(c)1/8
(d)1/16
5.A country has an area of 25,000,000 hectares. Write this area in standard form.
(a)2.5 × 10⁷
(b)2.5 × 10⁸
(c)25 × 10⁶
(d)2.5 × 10⁻⁷
6.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.
(a)19
(b)20
(c)16
(d)17
7.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?
(a)−4.5 °C
(b)−3.8 °C
(c)−4.05 °C
(d)2 °C
8.Round 6.283 to 1 significant figure.
(a)10
(b)6.3
(c)6
(d)0.6
9.Work out √49
(a)9
(b)24.5
(c)7
(d)2401
10.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.
(a)£6.95 — Tom is incorrect
(b)£7.20 — Tom is correct
(c)£7.05 — Tom is correct
(d)£7.05 — Tom is incorrect
11.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
(a)28.8 km/h
(b)0.48 km/h
(c)2.22 km/h
(d)28 800 km/h
12.Write 0.25 as a fraction in its simplest form.
(a)1/40
(b)1/25
(c)2/5
(d)1/4
13.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.
(a)5/9
(b)3/5
(c)1/3
(d)4/15
14.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.
(a)to the nearest centimetre
(b)to 1 decimal place
(c)to the nearest 0.5 cm
(d)to the nearest 10 cm
15.Work out the highest common factor of 15 and 25.
(a)75
(b)5
(c)15
(d)3

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