1019 past contests
Topic 14 · Riddle: rational functions as a quotient of polynomials
Topic 15 · Arrangements of the letters of $games$ with the vowels $a$ and $e$ together
Topic 44 · Line through a point, perpendicular to the line through two other points
Topic 14 · Finding $f(x)$ given $f(x+2)=x^2+4x+5$
Topic 14 · Evaluating $f(g(h(2)))$ for $f(x)=x^2+3$, $g(x)=2x+3$ and $h(x)=5-3x$
Topic 26 · Solving $x^3-2x^2+x-2=0$ by grouping
Topic 5 · Testing whether triangle $abc$ is right-angled for $a(-3,-4)$, $b(2,5)$, $c(-5,3)$
Topic 27 · Differentiating $y=(x+1)(x-1)$ by expanding first
Topic 20 · Third term in the expansion of $(1+2x)^5$ in ascending powers of $x$
Topic 8 · Solving $\log_2x=\log_4x$
Topic 39 · Solving $\sin x=-\dfrac{1}{2}$ for $\pi\lt x\lt\dfrac{3\pi}{2}$
Topic 44 · Line through a point, perpendicular to a given line
Topic 19 · Factorised equation with intercepts $(-2,0)$, $(3,0)$ and $(0,-12)$
Topic 11 · Values of $x$ for which $\begin{pmatrix}3&6\\x&2x\end{pmatrix}$ has no inverse
Topic 25 · Two numbers with mean $30$ where one number plus $6$ is twice the other
Topic 44 · Tangent of the angle between two lines from their gradients
Topic 28 · $m^2+\dfrac{1}{m^2}$ from $m+\dfrac{1}{m}=7$
Topic 8 · Solving $\dfrac{7^{x^2}}{49^x}=343$
Topic 42 · $\tan x$ from $\sin\left(x+\dfrac{\pi}{4}\right)=\cos x$
Topic 27 · Point of inflection of $y=x^3-6x^2+5x+8$