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.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
- 2.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?
- 3.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 4.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.
- 5.Simplify ⁴√(16a⁸b¹²)
- 6.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.
- 7.Work out the reciprocal of (2 + 3)
- 8.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
- 9.A square tile has an area of 72 cm². Work out the exact perimeter of the tile, giving your answer in the form k√2 cm.
- 10.Work out the value of 2⁻⁴
- 11.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 12.Work out (−2)² − 3
- 13.Work out 100 − 4 × 5²
- 14.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 15.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.
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