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 (4 × 10³) × (3 × 10¹). Give your answer in standard form.
(a)7 × 10⁴
(b)12 × 10⁴
(c)1.2 × 10⁴
(d)1.2 × 10⁵
2.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
(a)36
(b)6
(c)108
(d)216
3.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
(a)17/16
(b)2/21
(c)2/3
(d)27/98
4.Work out the value of ∛125.
(a)5
(b)375
(c)15625
(d)62.5
5.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
(a)288 km
(b)4.5 km
(c)12 km
(d)24 km
6.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
(a)9/8
(b)2/3
(c)2
(d)1/2
7.Work out (−6) + (−4) × 3
(a)−30
(b)−18
(c)18
(d)6
8.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
9.A coach journey has a 55 minute first leg, a 20 minute break and a 40 minute second leg. The coach leaves at 13:25. Work out the arrival time, using the 24-hour clock.
(a)15:00
(b)14:40
(c)14:25
(d)15:20
10.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?
(a)1.4 ≤ m < 1.6
(b)1.45 ≤ m < 1.55
(c)1.45 < m ≤ 1.55
(d)1.45 ≤ m ≤ 1.55
11.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.
(a)10π cm
(b)25π cm
(c)5π cm
(d)20π cm
12.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?
(a)the third mark after 0
(b)the second mark after 0
(c)the fourth mark after 0
(d)the first mark after 0
13.Work out the value of √(16 + 9)
(a)5
(b)12
(c)7
(d)−5
14.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.
(a)18 minutes
(b)54 minutes
(c)3 minutes
(d)15 minutes
15.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.
(a)8 × 10³
(b)1.28 × 10¹⁷
(c)8 × 10⁴
(d)8 × 10¹⁵

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