IGCSE Class 10 mathematics Question Paper 2023
Practice authentic previous year questions for better exam preparation.
Sample Questions
- The diagram shows part of the graph of $\quad y=a \cos \left(\frac{x}{b}\right)+c$, where $a, b$ and $c$ are integers. Find the values of $a, b$ and $c$.
- Solve the equation $2 \log _{a} 4-3 \log _{4} a-5=0$, giving your answers in exact form.
- The point $A$ has position vector $\binom{2}{-6}$. The point $B$ has position vector $\binom{-3}{6}$. (ii) Find the distance $A B$.
- The diagram shows the line $y=1-4 x$ meeting the curve $y=4 x^{2}-6 x-5$ at the points $A$ and $B$. The tangent to the curve at $B$ meets the horizontal line through $A$ at the point $C$. Find the $x$-coordinate of $C$, giving your answer correct to ...
- The first three terms of an arithmetic progression are $-3 \tan \frac{\theta}{2},-\tan \frac{\theta}{2}, \tan \frac{\theta}{2}$, where $0<\theta<\frac{\pi}{2}$. (i) Given that the 12 th term of this progression is equal to $\frac{19 \sqrt{3}}{3}$, fi...
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