1019 past contests
Topic 39 · Solving $\sin(2x-60^\circ)=\dfrac{\sqrt3}{2}$ for $x\gt0$
Topic 30 · Evaluating $\int_1^2(3x^2-4x+5)\,dx$
Topic 25 · Simultaneous equations $x^2-y^2=24$ and $x-y=4$ by difference of squares
Topic 34 · Angles $x+30$, $x-20$ and $2x-30$ of a triangle
Topic 7 · Riddle: truth value of a logical statement
Topic 42 · Related-angle equalities (true/false)
Topic 34 · Which sides and angles determine a triangle, such as ssa and sas (true/false)
Topic 1 · Sine of the angle between $2\mathbf{i}+\mathbf{j}$ and $\mathbf{i}-\mathbf{j}$ (formula method)
Topic 33 · Order of rotational symmetry of a kite, parallelogram and rectangle (true/false)
Topic 10 · One girl and one boy chosen from three boys and two girls (second contest)
Topic 19 · Maximum value of $25+10x-x^2$ and the corresponding $x$
Topic 37 · Riddles: parallel lines, perpendicular lines, transversal, vertically opposite angles
Topic 5 · Checking whether a point satisfies a linear inequality such as $5x-7y\lt 27$ (true/false)
Topic 13 · Is $2+3+5+8+13+\ldots$ a linear (arithmetic) series? (true/false)
Topic 28 · $x^2+\dfrac{1}{x^2}$ and $x^4+\dfrac{1}{x^4}$ from $x-\dfrac{1}{x}=5$
Topic 10 · $p(a\cup b)$ for independent events with $p(a)=\dfrac{1}{2}$ and $p(b)=\dfrac{1}{3}$ (second contest)
Topic 47 · Cartesian equation from $x=2\cos\theta$, $y=3\sin\theta$
Topic 44 · Tangent of the acute angle between two lines from their gradients
Topic 19 · Values of $k$ for which $x^2+2kx+16$ is positive for all real $x$