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.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.
(a)13/12
(b)55/12
(c)1/12
(d)11/12
2.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.
(a)£2.80
(b)£3.70
(c)£8.40
(d)£15.85
3.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.
(a)1 × 10³
(b)0.1 × 10⁻²
(c)1 × 10⁻⁴
(d)1 × 10⁻³
4.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.
(a)1 3/4
(b)2 5/12
(c)8
(d)1 7/12
5.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.
(a)700
(b)500
(c)600
(d)604
6.Work out (−3) × 4 + 2 × (−5)
(a)−22
(b)50
(c)−2
(d)22
7.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.
(a)6
(b)4
(c)8
(d)2
8.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
9.3.4 × 10⁵ is written as an ordinary number. Work out this number.
(a)3,400,000
(b)34,000
(c)0.000034
(d)340,000
10.Work out −7 − (−3).
(a)4
(b)−4
(c)10
(d)−10
11.Find the missing number: 17 × ▢ = 391
(a)23
(b)374
(c)17
(d)6647
12.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
(a)55
(b)54
(c)59
(d)54.7
13.Round 592.5 to the nearest 10.
(a)600
(b)500
(c)590
(d)595
14.Work out ((−3) + 5) × (−4) − (−6) ÷ 2
(a)−11
(b)−1
(c)−5
(d)11
15.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
(a)1725 ml
(b)50 ml
(c)2550 ml
(d)1050 ml

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