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 · Non-calculator · 15 questions

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1.Work out √144 − 2 × 3 + √25
(a)35
(b)11
(c)1
(d)7
2.Work out (−6) + (−4) × 3
(a)−30
(b)−18
(c)18
(d)6
3.Work out (−36) ÷ (−6) × 2
(a)3
(b)6
(c)12
(d)−12
4.Find the missing number: 17 × ▢ = 391
(a)23
(b)374
(c)17
(d)6647
5.Work out (−3) × 4 + 2 × (−5)
(a)−22
(b)50
(c)−2
(d)22
6.Find the missing number: ▢ ÷ 15 = 24
(a)360
(b)39
(c)9
(d)1.6
7.Work out the reciprocal of (2 + 3)
(a)1/5
(b)5/6
(c)5
(d)−1/5
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.Work out (−2)² − 3
(a)−7
(b)1
(c)25
(d)−1
10.Work out 3 × (−2)² − 5
(a)7
(b)−3
(c)31
(d)−17
11.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
12.Work out ((−3) + 5) × (−4) − (−6) ÷ 2
(a)−11
(b)−1
(c)−5
(d)11
13.Write down the reciprocal of 0.2
(a)−0.2
(b)0.8
(c)5
(d)0.5
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 the value of √(16 + 9)
(a)5
(b)12
(c)7
(d)−5

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