1019 past contests
Topic 23 · Solving rational inequalities by the quick sign method
Topic 9 · Riddle: a three-digit number between $300$ and $400$ from square-digit clues
Topic 14 · Range of a rational function $y=\dfrac{ax+b}{cx+d}$ (second contest)
Topic 42 · Finding trig ratios via pythagorean identities
Topic 32 · Riddles: identifying a solid from its faces, edges and vertices
Topic 13 · First term and common difference given $u_3=23$ and $u_6=11$
Topic 7 · Classifying decimals as terminating, repeating or irrational (true/false)
Topic 40 · $\cos(a-b)$ given $\sin a=\dfrac{3}{5}$, $\cos b=-\dfrac{1}{2}$, both $a$, $b$ obtuse
Topic 14 · Range of $y=\dfrac{4x+3}{3x+4}$
Topic 21 · Solving $|2x-3|=x$
Topic 34 · Does a triangle centre lie inside the triangle? centroid, circumcentre, orthocentre and incentre (true/false)
Topic 1 · $(a+b)\cdot(a-b)$ for $a=2i+3j$ and $b=4i-3j$
Topic 19 · Factorised equation of a parabola from its intercepts, e.g. $x=\pm2$ and $y=-8$
Topic 19 · Riddle: the quadratic equation whose roots have sum $3\times5$ and product $3+5$
Topic 23 · Solving $\dfrac{x}{x-2}\lt0$ by critical points
Topic 43 · Circle with ends of a diameter at $a(2,-2)$, $b(-4,6)$
Topic 13 · Sum to infinity of $1+0.1+0.01+0.001+\ldots$ and $20-2+0.2-0.02+\ldots$
Topic 14 · Domain of $f(x)=\sqrt{x^2+3}$
Topic 39 · Solving $\cos x=-\dfrac{\sqrt3}{2}$ for $0\lt x\lt\pi$
Topic 44 · Identifying intercept, slope-intercept and point-slope forms (true/false)