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.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72
(a)3/4, 0.72, 0.7
(b)3/4, 0.7, 0.72
(c)0.7, 0.72, 3/4
(d)0.72, 3/4, 0.7
2.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.
(a)3/5
(b)3/8
(c)5/3
(d)5/8
3.Which of these numbers is the largest: −9, −7, −4, −2?
(a)−7
(b)−4
(c)−2
(d)−9
4.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.
(a)4/9
(b)4/13
(c)9/13
(d)9/4
5.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
(a)40
(b)11
(c)10
(d)20
6.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
(a)4 miles
(b)830 miles
(c)41.5 miles
(d)40 miles
7.Work out (−3) × 4 + 2 × (−5)
(a)−22
(b)50
(c)−2
(d)22
8.Find the missing number: ▢ ÷ 15 = 24
(a)360
(b)39
(c)9
(d)1.6
9.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.
(a)2.5 m
(b)4 m
(c)1.5 m
(d)2.4 m
10.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.
(a)300
(b)307
(c)450
(d)3,000
11.Work out the reciprocal of (2 + 3)
(a)1/5
(b)5/6
(c)5
(d)−1/5
12.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
13.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.
(a)1/16
(b)1/8
(c)15/16
(d)3/16
14.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.
(a)700
(b)500
(c)600
(d)604
15.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.
(a)5.25 litres
(b)401.25 litres
(c)0.85 litres
(d)1.65 litres

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