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 · 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.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
3.Work out (−2)³ + (−3)² − (−4)
(a)5
(b)−13
(c)−3
(d)21
4.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
5.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
6.Work out 2 × (−3 + 7)
(a)1
(b)6
(c)−20
(d)8
7.Find the missing number: ▢ ÷ 15 = 24
(a)360
(b)39
(c)9
(d)1.6
8.Work out the reciprocal of (2 + 3)
(a)1/5
(b)5/6
(c)5
(d)−1/5
9.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
10.Work out 3 + 4 × 2²
(a)28
(b)67
(c)196
(d)19
11.Work out √25 + 4² − 12 ÷ 3
(a)9
(b)17
(c)3
(d)37
12.Work out (−3) × 4 + 2 × (−5)
(a)−22
(b)50
(c)−2
(d)22
13.Work out 3 × (−2)² − 5
(a)7
(b)−3
(c)31
(d)−17
14.Work out 20 − 8 ÷ 2 + 1
(a)16
(b)15
(c)7
(d)17
15.Work out 100 − 4 × 5²
(a)0
(b)2400
(c)60
(d)−300

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