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 (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
- 2.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
- 3.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.
- 4.4ˣ = 64. Work out the value of x.
- 5.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.
- 6.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 7.Find the missing number: ▢ ÷ 15 = 24
- 8.Simplify √45.
- 9.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 10.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 11.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.
- 12.Estimate the value of √45, giving your answer to the nearest whole number.
- 13.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.
- 14.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³
- 15.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
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