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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 3a − 2b when a = 5 and b = 4
(a)52
(b)−7
(c)23
(d)7
2.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
3.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
4.Work out the value of 5m² + 3m when m = −2.4
(a)36
(b)29.4
(c)21.6
(d)−36
5.Work out the value of 2(x + 2) when x = −5
(a)−3
(b)−1
(c)−6
(d)−8
6.Work out the value of a² − 2b when a = −3 and b = 4.
(a)1
(b)−17
(c)−11
(d)17
7.The formula for the energy stored in a stretched spring is E = (1/2)kx², where E is in joules, k is the spring constant in N/m and x is the extension in m. A spring with a spring constant of 40 N/m is stretched so that its extension is 0.3 m. Work out the energy stored in the spring.
(a)1.8
(b)72
(c)3.6
(d)6
8.The formula y = x² + 1 gives y in terms of x. Work out the value of y when x = −2.
y = x² + 1
(a)−3
(b)1
(c)5
(d)4
9.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
10.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
11.Work out the value of 5a + 2 when a = 3
(a)17
(b)10
(c)15
(d)25
12.Grace says that 2(x + 1) and 2x + 2 always have the same value. Work out the value of both expressions when x = 3.
(a)10
(b)6
(c)8
(d)7
13.Work out the value of 2x² when x = −3
(a)18
(b)36
(c)−18
(d)−12
14.Work out the value of 3n − 2 when n = 1
(a)5
(b)1
(c)3
(d)−1
15.Oliver has m stickers and gives 5 of them away. The number he has left is L = m − 5. Work out L when m = 8.
(a)3
(b)40
(c)−3
(d)13

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