1019 past contests
Topic 1 · Vector of magnitude $10$ in the direction of $\mathbf{i}+\sqrt{3}\mathbf{j}$
Topic 31 · Intersecting chords: $ae\times be=ce\times de$ with $ae=20$, $be=9$, $de=30$
Topic 27 · Stationary point of $y=\dfrac{(x+1)^2}{x^2}$
Topic 9 · Expressing $29$ as a difference of two squares
Topic 31 · Radius from a chord of $30$ cm at distance $8$ cm from the centre
Topic 8 · Solving $\log_2(x-3)+\log_2(x+3)=4$
Topic 22 · Decomposing $\dfrac{12x}{x^2-4x-12}$ into partial fractions
Topic 15 · Solving $^{n}p_{4}=8\times{}^{n}p_{3}$ for $n$
Topic 11 · Image of $a(-2,5)$ under a reflection in the point $p(3,-2)$
Topic 1 · Tangent of the angle between $4\mathbf{i}+2\mathbf{j}$ and $2\mathbf{i}+4\mathbf{j}$
Topic 31 · Shortest distance from $p$ to a circle of radius $10$ cm with a tangent of $24$ cm
Topic 13 · Fixed point of the recurrence $u_{n+1}=3u_n-6$
Topic 1 · Sine of the angle between $3\mathbf{i}+\mathbf{j}$ and $\mathbf{i}-2\mathbf{j}$
Topic 7 · Listing the set of positive divisors of $18$ from set-builder notation
Topic 26 · Solving cubic equations such as $x^3+7x^2-x-7=0$
Topic 1 · Value of $x$ when $|x\mathbf{i}+7\mathbf{j}|=25$
Topic 36 · Identifying the polygon whose interior angles sum to $5\pi$ radians
Topic 19 · Values of $k$ for which $3x^2+2kx+2k=0$ has no real roots
Topic 27 · Quotient rule: $\dfrac{2x-3}{x+1}$, $\dfrac{x+2}{2x-1}$, $\dfrac{x}{x+3}$
Topic 7 · Riddle: the or logic gate in boolean algebra