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.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.Find the missing number: 17 × ▢ = 391
(a)23
(b)374
(c)17
(d)6647
3.Work out the reciprocal of (2 + 3)
(a)1/5
(b)5/6
(c)5
(d)−1/5
4.Work out √144 − 2 × 3 + √25
(a)35
(b)11
(c)1
(d)7
5.Work out (−6) + (−4) × 3
(a)−30
(b)−18
(c)18
(d)6
6.Work out (−36) ÷ (−6) × 2
(a)3
(b)6
(c)12
(d)−12
7.Work out (−2)³ + (−3)² − (−4)
(a)5
(b)−13
(c)−3
(d)21
8.Work out (−2)² − 3
(a)−7
(b)1
(c)25
(d)−1
9.Work out 3 × (−2)² − 5
(a)7
(b)−3
(c)31
(d)−17
10.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
11.Work out the value of √(16 + 9)
(a)5
(b)12
(c)7
(d)−5
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.Work out √25 + 4² − 12 ÷ 3
(a)9
(b)17
(c)3
(d)37
14.Work out (−3) × 4 + 2 × (−5)
(a)−22
(b)50
(c)−2
(d)22
15.Work out 100 − 4 × 5²
(a)0
(b)2400
(c)60
(d)−300

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