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.Work out (−6) + (−4) × 3
(a)−30
(b)−18
(c)18
(d)6
2.Work out (−2)² − 3
(a)−7
(b)1
(c)25
(d)−1
3.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
4.Work out 5 + 3 × (9 − 6)
(a)14
(b)24
(c)9
(d)26
5.Work out the reciprocal of (2 + 3)
(a)1/5
(b)5/6
(c)5
(d)−1/5
6.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
7.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
8.Work out (−2)³ + (−3)² − (−4)
(a)5
(b)−13
(c)−3
(d)21
9.Work out √25 + 4² − 12 ÷ 3
(a)9
(b)17
(c)3
(d)37
10.Work out ((−3) + 5) × (−4) − (−6) ÷ 2
(a)−11
(b)−1
(c)−5
(d)11
11.Write down the reciprocal of 5/8
(a)−8/5
(b)8/5
(c)5/8
(d)3/8
12.Work out (5 + 2) × 3²
(a)147
(b)63
(c)23
(d)441
13.Work out √144 − 2 × 3 + √25
(a)35
(b)11
(c)1
(d)7
14.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)
15.Work out 3 × (−2)² − 5
(a)7
(b)−3
(c)31
(d)−17

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