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Substitution into formulae worksheet — GCSE Foundation

Fifteen questions on "substitution into formulae" — DfE statement A2. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Substitution into formulae worksheet — GCSE Foundation

Maths · GCSE Foundation · A2 · Substitution into formulae · 15 questions

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1.Work out the value of 2(x + 2) when x = −5
(a)−3
(b)−1
(c)−6
(d)−8
2.A person's body mass index is given by the formula B = m ÷ h², where m is the mass in kg and h is the height in metres. Work out B, to 1 decimal place, when m = 68 and h = 1.6.
(a)42.5
(b)2890.0
(c)26.6
(d)26.5
3.A recipe gives the cooking time, in minutes, for a chicken as T = 40m + 20, where m is the mass in kg. A chicken has a mass of 1.8 kg. Work out the cooking time in hours and minutes.
(a)1 hour 12 minutes
(b)1 hour 48 minutes
(c)1 hour 40 minutes
(d)1 hour 32 minutes
4.The formula for the perimeter of a rectangle is P = 2(l + w). One rectangle has l = 9 cm and w = 4 cm. A second rectangle has l = 6 cm and w = 5 cm. Work out how many cm greater the perimeter of the first rectangle is than the perimeter of the second.
(a)4
(b)26
(c)6
(d)2
5.Work out the value of 3x² − 4x when x = −2.
(a)−4
(b)20
(c)4
(d)44
6.Work out the value of 3b − 4 when b = 6
(a)6
(b)5
(c)14
(d)18
7.A rectangle is x cm wide and twice as long as it is wide, so its area A cm² is given by A = 2x². Work out A when x = 3.
(a)18 cm²
(b)6 cm²
(c)12 cm²
(d)36 cm²
8.A taxi fare in pounds is given by F = 2.50 + 1.20m, where m is the number of miles travelled. Sam takes a taxi for a journey of 6 miles. Work out the fare.
(a)£7.20
(b)£22.20
(c)£9.70
(d)£10.20
9.Work out the value of 3n − 2 when n = 1
(a)5
(b)1
(c)3
(d)−1
10.The formula for converting a distance in miles, m, to kilometres, k, is k = 8m ÷ 5. Work out k when m = 10.
(a)16
(b)80
(c)18
(d)6.25
11.Work out the value of 5y + 9 when y = 0
(a)45
(b)0
(c)9
(d)14
12.The braking distance of a car, in metres, is estimated using the formula d = 0.4v² + 6, where v is the speed in mph. A car travelling at 35 mph brakes. Work out the estimated braking distance.
(a)202
(b)490
(c)496
(d)20
13.Work out the value of m² + 3m when m = −2
(a)−10
(b)10
(c)−14
(d)−2
14.Work out the value of n² − n when n = −3
(a)6
(b)−3
(c)−6
(d)12
15.The formula connecting speed, distance and time is v = s ÷ t. Work out v, in km/h, when s = 180 and t = 4.
(a)720
(b)184
(c)176
(d)45

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