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.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 2.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.
- 3.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.
- 4.Expand and simplify √3(2 + √12).
- 5.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 6.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 7.Write 5,000,000 in standard form.
- 8.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.
- 9.Work out how many factors 100 has.
- 10.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.
- 11.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
- 12.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 13.Work out (−2)² − 3
- 14.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.
- 15.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.
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