1019 past contests
Topic 9 · Riddle: $48$, a two-digit number with digit sum $12$ where one digit divides the other
Topic 1 · Vector of magnitude $10$ in the direction of $\mathbf{i}+\sqrt{3}\mathbf{j}$ (second copy)
Topic 27 · Stationary points of $y=\sqrt{x^3-3x^2+8}$
Topic 27 · Point of contact of the tangent $y=2x-1$ to $y=x^2-2x+3$
Topic 30 · Curve with gradient $2kx+2$ through $a(1,5)$ and $b(-2,11)$
Topic 8 · Solving the system $\log_2(2x+y)=2$, $\log_2\left(\dfrac{4x}{y}\right)=1$
Topic 1 · Angular momentum $\mathbf{l}=\mathbf{r}\times m\mathbf{v}$ of a $3$ kg particle
Topic 27 · No stationary point: $y=\dfrac{4x-3}{3x-4}$
Topic 35 · Riddles: the rhombus and square, with diagonals that bisect each other perpendicularly
Topic 22 · Does $\dfrac{x-1}{(x+1)(x-2)}$ have two partial fractions? (true/false)
Topic 22 · Does $\dfrac{x+2}{(x-4)(2x+1)(x+3)}$ have only two partial fractions? (true/false)
Topic 22 · Is $\dfrac{2x+1}{x-3}$ a single partial fraction? (true/false)
Topic 44 · Slopes $m_1$ and $\dfrac{1}{m_2}$: do the lines intersect if $m_1\cdot m_2\neq1$? (true/false)
Topic 10 · Committees of three chosen from four boys and six girls
Topic 44 · Slopes $m_1$ and $\dfrac{1}{m_2}$: are the lines parallel if $m_1\cdot m_2=1$? (true/false)
Topic 44 · Slopes $m_1$ and $\dfrac{1}{m_2}$: are the lines perpendicular if $\dfrac{m_1}{m_2}=1$? (true/false)
Topic 19 · Solution set of $2x^2-x-3\lt0$
Topic 14 · Finding $f(x)$ given $f\left(\dfrac{x+1}{2x-1}\right)=x$
Topic 42 · Finding $\sin x$ given $\cos x=\dfrac{5}{8}$
Topic 42 · Exact value of $\tan\dfrac{7\pi}{12}$