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.
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Substitution into formulae worksheet — GCSE Foundation
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- 1.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.
- 2.Work out the value of 5a + 2 when a = 3
- 3.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.
- 4.Work out the value of 2(x + 2) when x = −5
- 5.Work out the value of 5y + 9 when y = 0
- 6.Work out the value of 3n − 2 when n = 1
- 7.Work out the value of a² − 2b when a = −3 and b = 4.
- 8.The formula connecting speed, distance and time is v = s ÷ t. Work out v, in km/h, when s = 180 and t = 4.
- 9.Work out the value of n² − n when n = −3
- 10.Work out the value of 2x² when x = −3
- 11.The formula for converting a distance in miles, m, to kilometres, k, is k = 8m ÷ 5. Work out k when m = 10.
- 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.
- 13.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.
- 14.Work out the value of 3x² − 4x when x = −2.
- 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.
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