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 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.
- 2.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.
- 3.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.
- 4.The formula y = x² + 1 gives y in terms of x. Work out the value of y when x = −2.y = x² + 1
- 5.Work out the value of (x − 4)/2 + 3 when x = 10
- 6.Work out the value of 5y + 9 when y = 0
- 7.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.
- 8.Work out the value of n² − n when n = −3
- 9.Work out the value of 3x² − 4x when x = −2.
- 10.Work out the value of 5a + 2 when a = 3
- 11.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.
- 12.Work out the value of 2(x + 2) when x = −5
- 13.Work out the value of m² + 3m when m = −2
- 14.Work out the value of 4p² − 3 when p = 2.5
- 15.Work out the value of 3n − 2 when n = 1
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