Formulae and Functions

Formulae and Functions Quiz

Spec A5–A7 · Edexcel GCSE Maths: Quiz

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  1. 1. Given the formula A = πr², find the value of A when r = 5. (Use π ≈ 3.14)

    • A. 78.5
    • B. 31.4
    • C. 314
    • D. 157

  2. 2. Rearrange the formula v = u + at to make t the subject.

    • A. t = (v − u)/a
    • B. t = (u − v)/a
    • C. t = v − u − a
    • D. t = a(v − u)

  3. 3. If f(x) = 3x − 2 and g(x) = x², find fg(x).

    • A. 3x² − 2
    • B. 3(x²) − 2 = 3x² − 2
    • C. f(g(x)) = 3x² − 2
    • D. All of the above

  4. 4. Given f(x) = 2x + 5, find the inverse function f⁻¹(x).

    • A. f⁻¹(x) = (x − 5)/2
    • B. f⁻¹(x) = 2x − 5
    • C. f⁻¹(x) = (x + 5)/2
    • D. f⁻¹(x) = 5 − 2x

  5. 5. Use the iteration formula xₙ₊₁ = √(15 − xₙ) with starting value x₀ = 2 to find an approximate solution. What is x₂ to 2 decimal places?

    • A. 3.33
    • B. 3.45
    • C. 3.68
    • D. 3.86

Quiz