1019 past contests
Topic 11 · Product $ab$ of $a=\begin{pmatrix}2&5\\1&3\end{pmatrix}$ and $b=\begin{pmatrix}7&-2\\-3&1\end{pmatrix}$
Topic 27 · Stationary points of $y=x^3-3x^2+8$
Topic 46 · Locus of a point equidistant from $a(1,2)$ and $b(-2,1)$
Topic 40 · Greatest and least value of $|3\cos x-2|$
Topic 9 · Riddle: a three-digit odd number between $100$ and $200$ with last digit $7$ and digit sum $11$
Topic 33 · Which shapes have a centre of symmetry, such as a pentagon and a rhombus (true/false)
Topic 40 · Increasing/decreasing behaviour of sin, cos and tan on $\pi\lt\theta\lt\dfrac{3\pi}{2}$ (true/false)
Topic 9 · Expressing $29$ as a difference of two squares (second contest)
Topic 19 · Solving $(x+4)(x-3)\lt8$
Topic 13 · Common difference of a linear sequence with terms $x+2$, $2x-2$ and $10-x$
Topic 43 · Centre and radius of a circle from its general equation
Topic 27 · Least perimeter of a rectangle of constant area $a$: $p_{\min}=4\sqrt{a}$
Topic 5 · Riddle: quadrant of the cartesian plane
Topic 42 · Related-angle equalities such as $\sin137^\circ=\sin43^\circ$ (true/false)
Topic 33 · Order of rotational symmetry of a kite, parallelogram and rectangle (true/false)
Topic 41 · Area of a right triangle from the hypotenuse and one acute angle, $\text{area}=\dfrac14h^2\sin(2\theta)$
Topic 10 · One girl and one boy chosen from three boys and two girls
Topic 42 · Evaluating $\cos\dfrac{\pi}{12}$ via $\dfrac{\pi}{3}-\dfrac{\pi}{4}$
Topic 44 · Line through a point, perpendicular to a given line
Topic 19 · Greatest value of $-6+12x-x^2$ and the corresponding $x$