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.

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Number worksheet — GCSE Foundation

Maths · GCSE Foundation · Number · 15 questions

MathsUKwww.geekhero.co.uk

1.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
2.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
3.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
4.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
(a)3/7
(b)7/3
(c)7/10
(d)3/10
5.Work out 3 + 4 × (−2).
(a)−8
(b)−5
(c)−14
(d)11
6.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?
(a)(2 + 3 × 5) − 1
(b)(2 + 3) × 5 − 1
(c)2 + 3 × (5 − 1)
(d)(2 + 3) × (5 − 1)
7.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?
(a)1/4
(b)3/5
(c)3/20
(d)2/5
8.Work out the value of $1 0^{- 3}$ .
(a)1000
(b)−1000
(c)0.001
(d)−0.001
9.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.
(a)2
(b)3
(c)4
(d)6
10.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
(a)18
(b)25
(c)24
(d)28
11.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.
(a)235 ≤ n ≤ 245
(b)235 ≤ n < 245
(c)230 ≤ n < 250
(d)239.5 ≤ n < 240.5
12.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.
(a)12
(b)6
(c)16
(d)8
13.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
(a)8.15 ≤ y < 8.25
(b)8.15 < y < 8.25
(c)8.1 ≤ y < 8.2
(d)8.2 ≤ y < 8.3
14.4ˣ = 64. Work out the value of x.
(a)16
(b)3
(c)4
(d)6
15.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.
(a)9 hours 35 minutes
(b)7 hours 35 minutes
(c)8 hours 35 minutes
(d)15 hours 25 minutes

Build your own mix at the worksheet builder.