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.
Substitution into formulae worksheet — GCSE Foundation
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- 1.The formula y = x² + 1 gives y in terms of x. Work out the value of y when x = −2.y = x² + 1
- 2.Work out the value of a² − 2b when a = −3 and b = 4.
- 3.Work out the value of 5m² + 3m when m = −2.4
- 4.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.
- 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.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.
- 7.The formula for converting a distance in miles, m, to kilometres, k, is k = 8m ÷ 5. Work out k when m = 10.
- 8.Work out the value of (x − 4)/2 + 3 when x = 10
- 9.Work out the value of 5y + 9 when y = 0
- 10.Work out the value of n² − n when n = −3
- 11.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.
- 12.Work out the value of m² + 3m when m = −2
- 13.Work out the value of 3a − 2b when a = 5 and b = 4
- 14.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.
- 15.Work out the value of 2x² when x = −3
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