Printable · GCSE Foundation · ages 14-16

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.

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Substitution into formulae worksheet — GCSE Foundation

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

MathsUKwww.geekhero.co.uk

1.The formula for converting a temperature in Fahrenheit, F, to Celsius, C, is C = 5(F − 32) ÷ 9. Work out C, to 1 decimal place, when F = 98.6.
(a)119.9
(b)54.8
(c)66.6
(d)37.0
2.Work out the value of 5y + 9 when y = 0
(a)45
(b)0
(c)9
(d)14
3.Work out the value of n² − n when n = −3
(a)6
(b)−3
(c)−6
(d)12
4.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
5.The volume of a cuboid is given by the formula V = lwh. Work out V, in cm³, when l = 2, w = 3 and h = 6.
(a)11 cm³
(b)24 cm³
(c)18 cm³
(d)36 cm³
6.Work out the value of 3n − 2 when n = 1
(a)5
(b)1
(c)3
(d)−1
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.Work out the value of 4p² − 3 when p = 2.5
(a)97
(b)7
(c)22
(d)1
9.A formula is F = 4s. A pupil says that when s = 5 the value of F is 9, because they added 4 and 5 instead of multiplying. Work out the correct value of F when s = 5.
(a)9
(b)20
(c)45
(d)25
10.Work out the value of m² + 3m when m = −2
(a)−10
(b)10
(c)−14
(d)−2
11.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
12.Work out the value of a² − 2b when a = −3 and b = 4.
(a)1
(b)−17
(c)−11
(d)17
13.Work out the value of 3x² − 4x when x = −2.
(a)−4
(b)20
(c)4
(d)44
14.Work out the value of 2(x + 2) when x = −5
(a)−3
(b)−1
(c)−6
(d)−8
15.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

Build your own mix at the worksheet builder.