IGCSE Class 10 mathematics Question Paper 2022

Practice authentic previous year questions for better exam preparation.

Sample Questions

Find constants $a, b$ and $c$ such that $\frac{\sqrt{p} q^{\frac{2}{3}} r^{-3}}{\left(p q^{-1}\right)^{2} r^{-1}}=p^{a} q^{b} r^{c}$.
A particle moves in a straight line such that its displacement, $s$ metres, from a fixed point, at time $t$ seconds, $t \geqslant 0$, is given by $s=(1+3 t)^{-\frac{1}{2}}$. (i) Find the exact speed of the particle when $t=1$.
A particle moves in a straight line such that its displacement, $s$ metres, from a fixed point, at time $t$ seconds, $t \geqslant 0$, is given by $s=(1+3 t)^{-\frac{1}{2}}$. (ii) Show that the acceleration of the particle will never be zero.
A function f is such that $\mathrm{f}(x)=\ln (2 x+1)$, for $x>-\frac{1}{2}$. (i) Write down the range of f .
A function g is such that $\mathrm{g}(x)=5 x-7$, for $x \in \mathbb{R}$. (ii) Find the exact solution of the equation $\mathrm{gf}(x)=13$.