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.Work out the value of 2(x + 2) when x = −5
- 2.Work out the value of 3x² − 4x when x = −2.
- 3.Work out the value of 5y + 9 when y = 0
- 4.Work out the value of 3n − 2 when n = 1
- 5.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.
- 6.Work out the value of 3b − 4 when b = 6
- 7.Work out the value of m² + 3m when m = −2
- 8.Work out the value of 3a − 2b when a = 5 and b = 4
- 9.The formula y = x² + 1 gives y in terms of x. Work out the value of y when x = −2.y = x² + 1
- 10.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.
- 11.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.
- 12.The formula for converting a distance in miles, m, to kilometres, k, is k = 8m ÷ 5. Work out k when m = 10.
- 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 a² − 2b when a = −3 and b = 4.
- 15.Grace says that 2(x + 1) and 2x + 2 always have the same value. Work out the value of both expressions when x = 3.
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