1019 past contests
Topic 30 · Area under $y=2x+1$ and volume of revolution about the $x$-axis
Topic 39 · Solving $2\sin^2x-\sin x=0$ for $0\lt x\lt\pi$
Topic 8 · Solving $\log(x+6)+\log(x-2)=\log(2x+3)$
Topic 40 · Riddle: identifying a sine function from its period, zero and maximum
Topic 27 · $y=x^3-3x^2+8$ at $x=2$: increasing or stationary? (true/false)
Topic 44 · Intersection of a quadratic curve and a line, and the distance between the points
Topic 11 · Determinants and invertibility of matrices (true/false)
Topic 45 · Image of $(3,-5)$ after a reflection in the line $y=-x$
Topic 27 · Quotient rule: $y=\dfrac{2x+1}{x-2}$
Topic 14 · Inverse of $y=\dfrac{x+1}{x}$
Topic 28 · $\dfrac{a^2}{b^2}+\dfrac{b^2}{a^2}$ from $\dfrac{a}{b}\pm\dfrac{b}{a}$
Topic 8 · Finding $m$ and $n$ from $m+n=13$ and $\log_6(mn)=2$
Topic 18 · Rationalising $\dfrac{5-2\sqrt{3}}{5+2\sqrt{3}}$
Topic 23 · Checking solution sets of $\dfrac{x-1}{x+2}\lt0$ and $\dfrac{x-4}{x-7}\lt0$ (true/false)
Topic 7 · Rationalising the denominator of $\dfrac{5-2\sqrt{3}}{5+2\sqrt{3}}$
Topic 42 · Riddle: cotangent, the reciprocal of tangent
Topic 23 · Checking solution sets of $\dfrac{x-1}{x+2}\lt0$ (true/false)
Topic 14 · Composition of functions: associative, commutative, binary operation (true/false)
Topic 19 · Nature of the roots of $x^2+(k-3)x+k=0$ for varying $k$
Topic 8 · Rationalising the denominator of $\dfrac{5-2\sqrt{3}}{5+2\sqrt{3}}$