1019 past contests
Topic 10 · Finding $p(a)$ and $p(b)$ for independent events with $p(a)=2x$, $p(b)=3x$ and $p(a\cap b)=\dfrac{1}{6}$
Topic 42 · $\sin\theta\sin\phi$ from $\cos(\theta+\phi)$ and $\cos(\theta-\phi)$
Topic 19 · Solving $|x^2-2|=x$
Topic 45 · Line of reflection when $(3,5)$ maps to $(-5,3)$
Topic 27 · $\dfrac{dy}{dx}$ of $x^2-3xy+2y^2=6$ at $(1,-1)$ by implicit differentiation
Topic 34 · Area of a triangle with sides $\sqrt{7}$, $2\sqrt{5}$ and $3\sqrt{3}$
Topic 19 · Compound inequality $x+3\lt x^2+1\lt10$
Topic 42 · Expressing a tangent expression as $\tan(\theta+\alpha)$
Topic 30 · Evaluating $\int_0^2(6x^2-10x)\,dx$
Topic 9 · Expressing $265$ as a sum of two squares
Topic 14 · Inverse of $f(x)=\dfrac{3x+1}{2x+1}$
Topic 10 · $p(a\cup b)$ for mutually exclusive events with $p(a)=\dfrac{2}{5}$ and $p(b)=\dfrac{3}{7}$
Topic 34 · Smallest and largest angles of a triangle in the ratio $2:3:5$
Topic 39 · Solving $\sin x=\dfrac{\sqrt2}{2}$ for $0\lt x\lt\pi$
Topic 19 · Constants in $3x^2+12x+20=a(x+b)^2+c$
Topic 10 · Probability of no heads in $3$ tosses of a fair coin
Topic 1 · Sine of the angle between $2\mathbf{i}+3\mathbf{j}$ and $3\mathbf{i}+2\mathbf{j}$
Topic 11 · Inverse of the $2\times2$ matrix $a=\begin{pmatrix}-2&-7\\1&3\end{pmatrix}$
Topic 27 · Gradient of $y=x^2-\dfrac{1}{x^2}$ at $x=1$
Topic 42 · $\sin(a+b)=1$ from pythagorean-triple ratios