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.
Non-calculator
Number worksheet — GCSE Higher
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- 1.Work out ⁴√81
- 2.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 3.Simplify (y³)⁴, giving your answer as a single power of y.
- 4.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.
- 5.√700 lies between which two consecutive integers?
- 6.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 7.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 8.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 9.Estimate the value of √45, giving your answer to the nearest whole number.
- 10.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.
- 11.4ˣ = 64. Work out the value of x.
- 12.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.
- 13.Work out (−2)³ + (−3)² − (−4)
- 14.Work out √144 − 2 × 3 + √25
- 15.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.
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