Printable · GCSE Higher · ages 14-16

Number worksheet — GCSE Higher

Fifteen questions across the number statements at Higher 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 Higher

Maths · GCSE Higher · Number · 15 questions

MathsUKwww.geekhero.co.uk

1.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.
(a)62 ≤ r < 63
(b)62.35 ≤ r ≤ 62.45
(c)62.35 ≤ r < 62.45
(d)62.3 ≤ r < 62.5
2.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?
(a)3/5
(b)9/10
(c)2/5
(d)3/4
3.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.
(a)3/5
(b)3/10
(c)1/10
(d)1/5
4.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56
(a)0.5, 0.55, 0.56, 0.6, 0.601
(b)0.5, 0.56, 0.55, 0.6, 0.601
(c)0.5, 0.6, 0.55, 0.56, 0.601
(d)0.601, 0.6, 0.56, 0.55, 0.5
5.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
(a)4 3/8
(b)3 13/15
(c)4 1/5
(d)4 13/15
6.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.
(a)£4.80
(b)£26.40
(c)£14.25
(d)£5.20
7.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.
(a)16
(b)30
(c)60
(d)2
8.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.
(a)£9.69
(b)£96.90
(c)£969.00
(d)£102.00
9.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
(a)£12.75
(b)£8.25
(c)£7.25
(d)£7.75
10.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.
(a)£340.00
(b)£326.40
(c)£384.00
(d)£64.00
11.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.
(a)18
(b)30
(c)90
(d)14
12.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
13.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.
(a)120
(b)216
(c)15
(d)20
14.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
(a)28.3 cm²
(b)28.26 cm²
(c)9π cm²
(d)27 cm²
15.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.
(a)29.4 kg
(b)24 kg
(c)29.1 kg
(d)30 kg

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