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.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
- 2.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 3.Work out −(−3)⁴ + (−3)³
- 4.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
- 5.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.
- 6.Work out 5/6 × 2/9, giving your answer in its simplest form.
- 7.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 8.Work out √3 × √12, giving your answer as an integer.
- 9.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 10.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.
- 11.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 12.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 13.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 14.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?
- 15.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.
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