1019 past contests
Topic 19 · $\dfrac{\alpha}{\beta}+\dfrac{\beta}{\alpha}$ for the roots of $x^2-2x+3=0$
Topic 15 · Evaluating $^{10}c_{5}$
Topic 1 · Bearing of the direction of the vector $\mathbf{i}-\mathbf{j}$
Topic 42 · $\sin(2\alpha)$ from $\sin\alpha=\dfrac{1}{\sqrt{10}}$, $\alpha$ acute
Topic 42 · $\cos(2\alpha)$ from $\sin\alpha=\dfrac{1}{\sqrt{10}}$, $\alpha$ acute
Topic 42 · $\tan(2\alpha)$ from $\sin\alpha=\dfrac{1}{\sqrt{10}}$, $\alpha$ acute
Topic 17 · Identity element of $a\star b=a+b+ab$
Topic 11 · Image of $(-2,3)$ under the translation mapping $(2,5)$ onto $(3,2)$
Topic 18 · Expanding $(1+\sqrt{3})^3$
Topic 27 · No stationary point: $y=\dfrac{2x+1}{x-2}$
Topic 1 · Cosine of the angle between $12\mathbf{i}-5\mathbf{j}$ and $4\mathbf{i}+3\mathbf{j}$
Topic 35 · Other two angles of a cyclic quadrilateral with angles $53^\circ$ and $115^\circ$
Topic 13 · General term of an exponential sequence with $u_5=80$ and $u_8=640$
Topic 36 · Sum of the interior angles of a $17$-sided polygon in radians
Topic 19 · Solution set of $2x^2-3x-5\gt0$
Topic 27 · Chain rule: $y=(x^2+2x)^5$
Topic 13 · Fourth term of a sequence with $s_n=n^2+3n+2$
Topic 1 · Value of $x$ when $|5\mathbf{i}+x\mathbf{j}|=13$
Topic 31 · Surface area of a spherical ball of circumference $0.70$ m, $a=\dfrac{c^2}{\pi}$
Topic 34 · Right-angled triangle with sides $x$, $2x-1$ and $2x+1$