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

Maths · GCSE Higher · Number · Non-calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.Work out (−2)³ + (−3)² − (−4)
(a)5
(b)−13
(c)−3
(d)21
2.Simplify x⁶ ÷ x²
(a)x¹²
(b)x³
(c)x⁸
(d)x⁴
3.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
(a)2¹²
(b)2¹
(c)4⁷
(d)2⁷
4.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
(a)−3
(b)4
(c)3
(d)2
5.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.
(a)5.25
(b)5
(c)6
(d)7
6.Work out (2/3)² + (1/2)². Give your answer as a fraction.
(a)7/3
(b)49/36
(c)25/36
(d)5/13
7.Work out the value of √49 + ∛27
(a)10
(b)34
(c)16
(d)21
8.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.
(a)£45
(b)£37
(c)£25
(d)£22
9.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.
(a)£935, so £900 is not enough
(b)£1,000, so £900 is not enough
(c)£800, so £900 is enough
(d)£950, so £900 is not enough
10.A country has an area of 25,000,000 hectares. Write this area in standard form.
(a)2.5 × 10⁷
(b)2.5 × 10⁸
(c)25 × 10⁶
(d)2.5 × 10⁻⁷
11.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.
(a)the nearest whole number
(b)it cannot be given to any degree of accuracy
(c)the nearest 0.1
(d)the nearest 10
12.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.
(a)7.5 m
(b)2.1 m
(c)3.0 m
(d)2.7 m
13.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
(a)2, 3, 4, 5
(b)3, 4, 5
(c)1, 2, 3, 4, 5
(d)2, 3, 4, 5, 6
14.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
(a)6
(b)12
(c)36
(d)21
15.Work out 100 − 4 × 5²
(a)0
(b)2400
(c)60
(d)−300

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