Mathematics 0580 · IGCSE · Equations

Equations — practice question

The formula is $s = ut + \frac{1}{2}at^2$.
(a(i))[4]

Find $s$ when $t = 26.5$, $u = 104.3$ and $a = -2.2$. State your answer in standard form, correct to 4 significant figures.

(a(ii))[3]

Rearrange the formula so that $a$ is expressed in terms of $u$, $t$ and $s$.

(b(i))[3]

Show that, on simplification, $x^2 + 2x - 63 = 0$.

(b(ii))[2]

Factorise $x^2 + 2x - 63$ into brackets.

(b(iii))[2]

Solve the equation $x^2 + 2x - 63 = 0$ to determine the difference between the perimeters of the two rectangles.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: \(1.991\times10^{3}\)

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