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
MathsUKwww.geekhero.co.uk
- 1.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.
- 2.The radius of a circular pond is given as 3.2 m, correct to 1 decimal place. Calculate the upper bound for the area of the pond, giving your answer correct to 3 significant figures.
- 3.Work out the value of 2⁻²
- 4.√700 lies between which two consecutive integers?
- 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.Round 0.006482 to 2 significant figures.
- 7.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
- 8.Work out 36 ÷ (2 × 3)
- 9.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.
- 10.Work out (5 + 2) × 3²
- 11.Write down the symbol that makes this statement true: −2/3 ___ −5/6
- 12.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
- 13.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 14.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.
- 15.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.
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