Printable · GCSE Foundation · ages 14-16

Inverse operations and priority of operations worksheet — GCSE Foundation

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 Foundation

Maths · GCSE Foundation · N3 · Inverse operations and priority of operations · Non-calculator · 15 questions

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1.Four students work out 6 + 2 × 3. Which student has worked it out correctly?
(a)Chen: 6 × 2 = 12, then 12 + 3 = 15
(b)Dev: 2 × 3 = 5, then 6 + 5 = 11
(c)Ben: 2 × 3 = 6, then 6 + 6 = 12
(d)Amy: 6 + 2 = 8, then 8 × 3 = 24
2.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
3.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)
4.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
(a)707
(b)700
(c)693
(d)699
5.Work out 20 − 8 ÷ 2 + 1
(a)16
(b)15
(c)7
(d)17
6.Write down the reciprocal of 5/8
(a)−8/5
(b)8/5
(c)5/8
(d)3/8
7.Work out 100 − 4 × 5²
(a)0
(b)2400
(c)60
(d)−300
8.Work out (−2)² − 3
(a)−7
(b)1
(c)25
(d)−1
9.Work out 36 ÷ (2 × 3)
(a)216
(b)54
(c)6
(d)18
10.Work out 2 × (−3 + 7)
(a)1
(b)6
(c)−20
(d)8
11.Work out 18 − 4 × 2
(a)12
(b)−10
(c)10
(d)28
12.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
13.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
14.Find the missing number: 17 × ▢ = 391
(a)23
(b)374
(c)17
(d)6647
15.Work out the value of √(16 + 9)
(a)5
(b)12
(c)7
(d)−5

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