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 · 15 questions

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1.Work out √144
(a)72
(b)36
(c)12
(d)14
2.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
3.In the number 3.472, work out the value of the digit 7.
(a)0.007
(b)0.7
(c)0.07
(d)7
4.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.
(a)10
(b)8
(c)11
(d)12
5.Write down the reciprocal of 5/8
(a)−8/5
(b)8/5
(c)5/8
(d)3/8
6.Write 200 as a product of its prime factors, using index notation.
(a)2 × 5³
(b)2³ × 5
(c)2² × 5³
(d)2³ × 5²
7.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
(a)0.02 cm
(b)0.023 cm
(c)0.0238 cm
(d)0.024 cm
8.Write 0.06 as a fraction in its simplest form.
(a)3/5
(b)3/50
(c)1/6
(d)3/500
9.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.
(a)8
(b)128
(c)2
(d)12
10.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
11.Work out how many factors 100 has.
(a)8
(b)4
(c)9
(d)10
12.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
(a)120
(b)12
(c)1440
(d)60
13.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.
(a)1,500 ≤ m < 2,500
(b)1,000 ≤ m < 3,000
(c)1,950 ≤ m < 2,050
(d)1,500 < m ≤ 2,500
14.Amelia eats 5/8 of a bar of chocolate and Oliver eats 3/4 of an identical bar. Write both amounts as eighths and write down the greater of the two fractions.
(a)7/8
(b)1/8
(c)6/8
(d)5/8
15.Write 0.005 in standard form.
(a)5 × 10³
(b)5 × 10⁻²
(c)5 × 10⁻³
(d)0.5 × 10⁻²

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