1019 past contests
Topic 25 · Age problem: father four times his daughter's age, thrice as old ten years later
Topic 27 · Stationary point of $y=x^2+\dfrac{16}{x}$
Topic 10 · $p(a\cup b)$ for independent events with $p(a)=\dfrac{1}{2}$ and $p(b)=\dfrac{1}{3}$
Topic 42 · Eliminating $\theta$ from $x=2\cos\theta$, $y=3\sin\theta$
Topic 10 · Probability of exactly one girl when $2$ students are chosen from $3$ boys and $2$ girls
Topic 44 · Line through a point, perpendicular to a given line
Topic 42 · Evaluating $\cos15^\circ$, $\sin15^\circ$, $\cos75^\circ$ etc via the $45^\circ$-$30^\circ$ decomposition
Topic 43 · Circle touching both axes with a given tangency point
Topic 14 · Evaluating $g(f(2))$ for $f(x)=x^2-5$ and $g(x)=2x-3$
Topic 1 · Tangent of the angle between $2\mathbf{i}+\mathbf{j}$ and $\mathbf{i}+2\mathbf{j}$
Topic 14 · Inverse of $y=\dfrac{3x-2}{2x+3}$
Topic 27 · $x$-values of the stationary points of $y=x^3-3x^2-45x+5$
Topic 34 · Exterior angles of a triangle with interior angles in the ratio $2:3:5$
Topic 21 · Least value of $|7x-3|$
Topic 44 · Line through a point, parallel to a given line
Topic 39 · Solving $(2\sin x-1)(\sqrt2\cos x+1)=0$ for $0\lt x\lt\dfrac{\pi}{2}$
Topic 10 · Probability that an arrangement of $1,2,3,4,5$ begins and ends with an odd number
Topic 9 · Expressing $125$ as the sum of two square numbers
Topic 25 · Simultaneous equations by elimination: $3x-2y=11$ and $5x-3y=18$
Topic 31 · Distance from the centre to a chord of $18$ cm in a circle of radius $12$ cm