1019 past contests
Topic 11 · Riddles identifying transformations (linear map, dilation, isometry, reflection, rotation) from their properties
Topic 47 · Cartesian equation from $x=2t+3$, $y=t^2+5$
Topic 1 · Vector of length $65$ in the direction of $5\mathbf{i}-12\mathbf{j}$
Topic 1 · Meaning of $\mathbf{a}\cdot\mathbf{b}=0$ for non-zero vectors (true/false)
Topic 19 · $(\alpha-\beta)^2$ for the roots of $x^2-3x+5=0$
Topic 19 · Least and greatest values of $x^2+6x+12$ on $-4\leq x\leq2$ (vertex inside the interval)
Topic 8 · Solving $\log_{3}(2x-3)=3$
Topic 13 · Exponential sequence $x+5$, $x+3$, $\dfrac{x+7}{3}$: values of $x$, common ratio and sum to infinity
Topic 40 · Sign properties of sine, cosine and tangent in each quadrant (true/false)
Topic 39 · Solving $2\cos x+\sqrt3=0$ for $0\lt x\lt\pi$
Topic 8 · Factorising the cubics $x^3+2x^2-x-2$, $x^3-3x^2-4x+12$ and $x^3+3x^2-9x-27$
Topic 14 · A function $f$ and its reciprocal $g(x)=\dfrac{1}{f(x)}$ (true/false)
Topic 7 · Parity of sums and products of natural numbers (true/false)
Topic 7 · Riddle: the binary number system
Topic 11 · Pre-image of $q(-3,9)$ under $t(x,y)\to(x-3y,\ x+3y)$
Topic 30 · Finding $k$ when $\int_0^1(3x^2-4kx+5)\,dx=0$
Topic 19 · Least and greatest values of $x^2+6x-7$ on $2\leq x\leq5$ (vertex outside the interval)
Topic 42 · $\cos2a$ given $\cos a=-\dfrac{5}{13}$
Topic 43 · Circle touching the y-axis, passing through $a(0,0)$ and $b(6,0)$
Topic 13 · General term $u_n=s_n-s_{n-1}$ from $s_n=n^2$, $s_n=n(n+1)$ and $s_n=n^2-2n$ (true/false)