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.
Number worksheet — GCSE Higher
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- 1.Simplify √45.
- 2.Which of these is written correctly in standard form?
- 3.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 4.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.
- 5.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.
- 6.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 7.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.
- 8.Work out (−36) ÷ (−6) × 2
- 9.The radius of a circular pond is given as 3.2 m, correct to 1 decimal place. Calculate the upper bound for the area of the pond, giving your answer correct to 3 significant figures.
- 10.Work out (−2)³ + (−3)² − (−4)
- 11.Write 5,000,000 in standard form.
- 12.Simplify (x⁻²)³, giving your answer as a fraction.
- 13.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 14.Work out (−3) × 4 + 2 × (−5)
- 15.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
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