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.Work out the value of 4p² − 3 when p = 2.5
- 2.Work out the value of n² − n when n = −3
- 3.Work out the value of a² − 2b when a = −3 and b = 4.
- 4.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.
- 5.Work out the value of 5a + 2 when a = 3
- 6.Work out the value of 2x² when x = −3
- 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 3b − 4 when b = 6
- 9.Work out the value of 3n − 2 when n = 1
- 10.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.
- 11.Work out the value of 5y + 9 when y = 0
- 12.Work out the value of (x − 4)/2 + 3 when x = 10
- 13.Work out the value of m² + 3m when m = −2
- 14.The braking distance of a car, in metres, is estimated using the formula d = 0.4v² + 6, where v is the speed in mph. A car travelling at 35 mph brakes. Work out the estimated braking distance.
- 15.Work out the value of 3a − 2b when a = 5 and b = 4
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