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.
Non-calculator
Substitution into formulae worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.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.
- 2.On Monday, a runner covers 15 km in 2.5 hours. On Tuesday, she covers 12 km in 1.5 hours. Using the formula speed = distance ÷ time, work out on which day she ran faster, and by how much.
- 3.Work out the value of m² + 3m when m = −2
- 4.Work out the value of 3x² − 4x when x = −2.
- 5.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.
- 6.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.
- 7.Work out the value of n² − n when n = −3
- 8.Work out the value of 3n − 2 when n = 1
- 9.Work out the value of 5y + 9 when y = 0
- 10.Work out the value of 3b − 4 when b = 6
- 11.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.
- 12.The formula connecting speed, distance and time is v = s ÷ t. Work out v, in km/h, when s = 180 and t = 4.
- 13.The formula for converting a distance in miles, m, to kilometres, k, is k = 8m ÷ 5. Work out k when m = 10.
- 14.Work out the value of 3a − 2b when a = 5 and b = 4
- 15.The formula y = x² + 1 gives y in terms of x. Work out the value of y when x = −2.y = x² + 1
Build your own mix at the worksheet builder.