1019 past contests
Topic 42 · Evaluating $\sin^2\dfrac{\pi}{12}$ via the half-angle identity
Topic 8 · Solving $\log_3(2x+5)-\log_3(x-1)=1$
Topic 25 · Natural numbers $m$ and $n$ with $m-n=12$ and $\sqrt{m}-\sqrt{n}=2$
Topic 42 · $\tan x$ from $\sin\left(x+\dfrac{\pi}{4}\right)=\cos x$
Topic 1 · Tangent of the angle between $5\mathbf{i}+\mathbf{j}$ and $5\mathbf{i}-\mathbf{j}$
Topic 42 · Expressing a tangent quotient as $\tan(\theta+\alpha)$ or $\tan(\alpha-\theta)$
Topic 39 · Solving $\sin\left(\theta-\dfrac{\pi}{6}\right)=\dfrac{1}{\sqrt2}$ for $0\lt\theta\lt\pi$
Topic 42 · Evaluating $\sin\dfrac{7\pi}{12}$ via $\dfrac{\pi}{4}+\dfrac{\pi}{3}$
Topic 10 · Probability that the four consonants of the letters $a,b,c,d,e,f$ stay together
Topic 10 · Committee of three men and two women from four men and three women
Topic 27 · Points of inflection of $y=x^4-6x^2+9$
Topic 15 · Finding $n$ in $^{n}p_{3}=990$
Topic 8 · Making y the subject of a logarithmic inequality of the form $\log(y-k)<2\log(ax)$
Topic 1 · Locus of $p(x,y)$ when $2x\mathbf{i}+y\mathbf{j}$ and $x\mathbf{i}-2y\mathbf{j}$ are perpendicular
Topic 11 · Inverse of the linear transformation $(x,y)\mapsto(3x+4y,\ x+2y)$
Topic 25 · Inequality defining the region above the line $2x-5y=10$
Topic 8 · Solving an exponential equation of the form $\dfrac{16^x-4^x}{4^x-1}=k$ using a substitution $y=4^x$
Topic 44 · Perpendicular distance from a point to a line
Topic 26 · Factorising $(2x+3y)^2-(3x-2y)^2$
Topic 19 · $x^2+xy+y^2$ from $x^3-y^3=56$ and $x-y=4$