1019 past contests
Topic 34 · Riddles: the circumcentre, centroid, orthocentre and incentre
Topic 45 · Reflection of $(x-2)^2+(y+2)^2=25$ in the line $y=x$, the $x$-axis and the origin
Topic 26 · Cube factorisations such as $8a^3+b^3=(2a+b)(4a^2-2ab+b^2)$ (true/false)
Topic 9 · Riddle: identifying a year (four-digit number) from digit-sum and primality clues
Topic 9 · Divisibility of the factors when the product $mn$ is divisible by $4$ (true/false)
Topic 43 · Does a given point satisfy $x^2+y^2\lt r^2$? (true/false)
Topic 42 · Evaluating $\dfrac{\tan45^\circ-\tan60^\circ}{\tan45^\circ+\tan60^\circ}$
Topic 27 · Chain rule: $y=(3x^2-6x+5)^8$
Topic 1 · Vector from $a(-3,2)$ to $b(2,-6)$ in terms of $\mathbf{i}$ and $\mathbf{j}$
Topic 19 · Curve with a stationary point on the $x$-axis at $a(1,0)$ and $y$-intercept $b(0,6)$
Topic 8 · Finding $x$ from $x^x=4^{32}$, $2^{64}$, $4^{192}$ and $5^{375}$
Topic 7 · Riddle: implication, a conditional compound statement
Topic 19 · Quadratic equation with integer coefficients having the root $2-\sqrt{7}$
Topic 39 · Solving factorised sin/cos equations such as $(2\sin x-1)(2\cos x+1)=0$
Topic 8 · Solving $\dfrac{7^{x^2}}{49^x}=343$ (second contest)
Topic 42 · $\tan x$ from $\sin\left(x+\dfrac{\pi}{4}\right)=\cos x$
Topic 9 · Expressing $47$, $61$ and $71$ as differences of two squares
Topic 19 · Solving $(x-5)(x+2)\lt18$
Topic 40 · Least and greatest value of $\dfrac{50}{8\cos x+6\sin x+15}$
Topic 14 · Domain of $f(x)=\sqrt{18-3x-x^2}$