IGCSE Class 10 mathematics Question Paper 2024

Practice authentic previous year questions for better exam preparation.

Sample Questions

Given that $2+\cot \theta=3 x$ and $\sin \theta=\sqrt{y}$, find $y$ in terms of $x$.
(i) On the axes, sketch the graph of $y=-\frac{1}{5}(x+2)(2 x-1)(x+5)$, stating the intercepts with the axes.
(ii) Solve the inequality $-\frac{1}{5}(x+2)(2 x-1)(x+5) \geqslant 0$.
The polynomial p is such that $\mathrm{p}(x)=6 x^{3}-35 x^{2}+34 x+45$. (i) Find $\mathrm{p}(x)$ in the form $(2 x-5) \mathrm{q}(x)+r$, where $\mathrm{q}(x)$ is a polynomial and $r$ is a constant.
The polynomial p is such that $\mathrm{p}(x)=6 x^{3}-35 x^{2}+34 x+45$. (ii) Hence write the expression $\mathrm{p}(x)-5$ as a product of linear factors.