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.
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Number worksheet — GCSE Higher
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- 1.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.
- 2.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
- 3.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.
- 4.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 5.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.
- 6.Work out the value of (√5)⁴
- 7.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
- 8.Work out ∛64.
- 9.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.
- 10.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
- 11.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
- 12.Write 0.005 in standard form.
- 13.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.
- 14.Which statement about the number 91 is correct?
- 15.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
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