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 bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.
(a)2 : 3
(b)1 : 2
(c)4 : 5
(d)2 : 1
2.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
(a)14
(b)12
(c)140
(d)1
3.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
4.Work out 5 + 3 × (9 − 6)
(a)14
(b)24
(c)9
(d)26
5.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.
(a)No, because 14.8 cm is not the same length as 15 cm
(b)Yes, because 14.8 cm rounds to 15 cm to the nearest cm
(c)No, because 14.8 cm rounds to 14 cm to the nearest cm
(d)Yes, because 14.8 cm rounds to 15.0 cm to 1 decimal place
6.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.
(a)1,029
(b)1,500
(c)800
(d)1,000
7.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
(a)25
(b)−5
(c)1
(d)−35
8.Write down the fraction, in its simplest form, that is equal to 0.6
(a)1/6
(b)2/3
(c)3/50
(d)3/5
9.Work out the value of 2⁻⁴
(a)16
(b)−16
(c)1/8
(d)1/16
10.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
(a)2, 3, 4, 5
(b)3, 4, 5
(c)1, 2, 3, 4, 5
(d)2, 3, 4, 5, 6
11.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.
(a)18
(b)36
(c)6
(d)12
12.Work out ⁴√81
(a)3
(b)20.25
(c)4.5
(d)9
13.Find the missing number: ▢ ÷ 15 = 24
(a)360
(b)39
(c)9
(d)1.6
14.Round 0.006482 to 2 significant figures.
(a)0.01
(b)0.00648
(c)0.0065
(d)0.006
15.Work out the value of √49 + ∛27
(a)10
(b)34
(c)16
(d)21

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