1019 past contests
Topic 10 · Finding $x$ for disjoint events with $p(a)=x$, $p(b)=2x$ and $p(a\cup b)=\dfrac{3}{4}$
Topic 40 · Finding the odd one out among $\cos330^\circ$, $\cos30^\circ$, $\cos150^\circ$, $\dfrac{\sqrt3}{2}$
Topic 13 · Sum to infinity of $2+\dfrac{6}{4}+\dfrac{18}{16}+\ldots$ and similar geometric series
Topic 15 · Four-digit numbers from the digits $1,2,3,4,5$ with and without repetition
Topic 4 · Riddle: the interquartile range as a measure of spread
Topic 36 · Converse statements about equilateral and regular polygons (true/false)
Topic 11 · Reflections of $a(5,-4)$ in the axes and the origin (true/false)
Topic 25 · Elimination method for $2x-3y=1$ and $3x+2y=8$
Topic 43 · Centre and radius of a circle from its general equation
Topic 7 · Finding the base $n$ when $123_n=51_{10}$
Topic 9 · Riddle: $729$, an odd three-digit number that is both a square and a cube
Topic 14 · Even and odd functions such as $f(x)=x^2+2x$ (true/false)
Topic 13 · Convergence of a geometric series to infinity when $|r|\lt1$ (true/false)
Topic 43 · Circle touching the four lines $x=4$, $x=-2$, $y=6$, $y=0$
Topic 8 · Solving $x^x=256$
Topic 15 · Entering and leaving a stadium with $10$ gates, $6$ north and $4$ south
Topic 10 · Selecting three students from three boys and four girls: gender compositions
Topic 40 · Solving $\csc x=\dfrac{2}{\sqrt3}$ for $0\lt x\lt2\pi$
Topic 33 · Riddles: the hexagon, pentagon and octagon and their symmetry
Topic 1 · Vector of magnitude $10$ in the direction of $\mathbf{i}+\sqrt{3}\mathbf{j}$