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
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- 1.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.
- 2.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
- 3.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 4.Work out how many factors 100 has.
- 5.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 6.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 7.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.
- 8.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
- 9.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 10.Work out the reciprocal of (2 + 3)
- 11.A plank has length a = 12 cm and a second plank has length b = 7 cm, each correct to the nearest centimetre. Work out the upper bound of a + b.
- 12.Work out 3 × (−2)² − 5
- 13.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.
- 14.Work out √25 + 4² − 12 ÷ 3
- 15.Write 60 as a product of its prime factors, using index notation.
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