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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 n² − n when n = −3
(a)6
(b)−3
(c)−6
(d)12
2.Work out the value of 4p² − 3 when p = 2.5
(a)97
(b)7
(c)22
(d)1
3.Work out the value of 3n − 2 when n = 1
(a)5
(b)1
(c)3
(d)−1
4.Work out the value of (x − 4)/2 + 3 when x = 10
(a)0
(b)4.5
(c)6
(d)11
5.Work out the value of 2x² when x = −3
(a)18
(b)36
(c)−18
(d)−12
6.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
7.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
8.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
9.Work out the value of 5m² + 3m when m = −2.4
(a)36
(b)29.4
(c)21.6
(d)−36
10.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
11.Work out the value of a² − 2b when a = −3 and b = 4.
(a)1
(b)−17
(c)−11
(d)17
12.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
13.Work out the value of 5a + 2 when a = 3
(a)17
(b)10
(c)15
(d)25
14.Work out the value of m² + 3m when m = −2
(a)−10
(b)10
(c)−14
(d)−2
15.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

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