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 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.
- 2.Work out the value of m² + 3m when m = −2
- 3.Work out the value of 5y + 9 when y = 0
- 4.Work out the value of 2(x + 2) when x = −5
- 5.Work out the value of a² − 2b when a = −3 and b = 4.
- 6.The formula connecting speed, distance and time is v = s ÷ t. Work out v, in km/h, when s = 180 and t = 4.
- 7.Work out the value of 5a + 2 when a = 3
- 8.Work out the value of 4p² − 3 when p = 2.5
- 9.Work out the value of 3b − 4 when b = 6
- 10.Work out the value of 3a − 2b when a = 5 and b = 4
- 11.A person's body mass index is given by the formula B = m ÷ h², where m is the mass in kg and h is the height in metres. Work out B, to 1 decimal place, when m = 68 and h = 1.6.
- 12.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.
- 13.Work out the value of 3x² − 4x when x = −2.
- 14.The formula y = x² + 1 gives y in terms of x. Work out the value of y when x = −2.y = x² + 1
- 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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