Mathematics 0580 · IGCSE · Equations

Equations — practice question

(a(i))[3]

Find how many apples Geeta buys.

(a(ii))[3]

Find the price, in cents, of one banana.

(b(i))[2]

Solve $\dfrac{3w}{16} - 1 = \dfrac{1}{2}$.

(b(ii))[2]

Solve $\dfrac{3(2^{-y})}{16} - 1 = \dfrac{1}{2}$ and determine $y$.

(c(i))[2]

Solve the simultaneous equations $2p + q = 2$ and $p - q = -\dfrac{1}{2}$.

(c(ii))[4]

Solve the simultaneous equations $2\sin u + \cos v = 2$ and $\sin u - \cos v = -\dfrac{1}{2}$.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate formation of the linear equation

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