Printable · GCSE Higher · ages 14-16

Inverse operations and priority of operations worksheet — GCSE Higher

Fifteen questions on "inverse operations and priority of operations" — DfE statement N3. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Inverse operations and priority of operations worksheet — GCSE Higher

Maths · GCSE Higher · N3 · Inverse operations and priority of operations · 15 questions

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1.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?
(a)(2 + 3 × 5) − 1
(b)(2 + 3) × 5 − 1
(c)2 + 3 × (5 − 1)
(d)(2 + 3) × (5 − 1)
2.Work out 36 ÷ (2 × 3)
(a)216
(b)54
(c)6
(d)18
3.Work out the value of √(16 + 9)
(a)5
(b)12
(c)7
(d)−5
4.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
5.Write down the reciprocal of 0.2
(a)−0.2
(b)0.8
(c)5
(d)0.5
6.Work out (−2)³ + (−3)² − (−4)
(a)5
(b)−13
(c)−3
(d)21
7.Find the missing number: 17 × ▢ = 391
(a)23
(b)374
(c)17
(d)6647
8.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.
(a)8
(b)128
(c)2
(d)12
9.Work out (5 + 2) × 3²
(a)147
(b)63
(c)23
(d)441
10.Work out √25 + 4² − 12 ÷ 3
(a)9
(b)17
(c)3
(d)37
11.Work out (−2)² − 3
(a)−7
(b)1
(c)25
(d)−1
12.Find the missing number: ▢ ÷ 15 = 24
(a)360
(b)39
(c)9
(d)1.6
13.Work out the reciprocal of (2 + 3)
(a)1/5
(b)5/6
(c)5
(d)−1/5
14.Work out 3 × (−2)² − 5
(a)7
(b)−3
(c)31
(d)−17
15.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
(a)25
(b)−5
(c)1
(d)−35

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