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.Work out ⁴√16
- 2.Work out 5⁰ + 5¹ + 5²
- 3.Simplify √8 + √18, giving your answer in the form k√2.
- 4.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?
- 5.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
- 6.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.
- 7.Work out √25 + 4² − 12 ÷ 3
- 8.Work out √144 − 2 × 3 + √25
- 9.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?
- 10.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 11.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.
- 12.Work out 100 − 4 × 5²
- 13.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 14.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.
- 15.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.
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