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 speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.
- 2.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
- 3.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 4.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
- 5.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 6.Work out ⁴√81
- 7.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?
- 8.Work out the value of 6² − 4³.
- 9.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.
- 10.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.
- 11.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.
- 12.Simplify ⁴√(16a⁸b¹²)
- 13.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 14.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 15.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.
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