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 café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.
(a)6
(b)5
(c)9
(d)3
2.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
(a)£18
(b)£8
(c)£138
(d)£12
3.3.4 × 10⁵ is written as an ordinary number. Work out this number.
(a)3,400,000
(b)34,000
(c)0.000034
(d)340,000
4.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?
(a)Fewer than 48,500 people attended
(b)More than 48,500 people attended
(c)Fewer than 47,500 people attended
(d)More than 48,000 people attended
5.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
(a)2/3
(b)2/5
(c)1/3
(d)3/5
6.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.
(a)24
(b)12
(c)48
(d)96
7.Work out √25 + 4² − 12 ÷ 3
(a)9
(b)17
(c)3
(d)37
8.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
(a)(12 + 12π) cm
(b)3π cm
(c)(12 + 3π) cm
(d)(6 + 3π) cm
9.Estimate the value of √45, giving your answer to the nearest whole number.
(a)2,025
(b)7
(c)6
(d)22.5
10.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
11.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.
(a)3.6 ≤ n < 3.8
(b)3.65 ≤ n < 3.75
(c)3.65 < n < 3.75
(d)3.65 ≤ n ≤ 3.75
12.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.
(a)25π cm
(b)5π cm
(c)20π cm
(d)10π cm
13.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
14.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.
(a)17/12
(b)1/2
(c)8/9
(d)2
15.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
(a)6.1 < x ≤ 6.2
(b)6.2 ≤ x < 6.3
(c)6.2 ≤ x ≤ 6.3
(d)6.15 ≤ x < 6.25

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