1019 past contests
Topic 46 · Locus of a point equidistant from $a(0,5)$ and the $x$-axis
Topic 31 · Radius of a circle with a $30$ cm chord at distance $8$ cm from the centre
Topic 27 · Stationary point of $y=\dfrac{(x+1)^2}{x^2}$
Topic 8 · Expressing $\sqrt[5]{7^6}$, $\sqrt[3]{10^4}$ and $\sqrt[4]{23^{-5}}$ as single fractional indices
Topic 13 · First term and common difference given $u_9=26$ and $u_{20}=59$
Topic 40 · Range of $y=5-7\sin x$
Topic 45 · Image of $a(2,5)$ after reflection in the line $y=7$
Topic 43 · Centre and radius of a circle from its general equation
Topic 33 · Axes of symmetry of an equilateral triangle, a parallelogram and a square
Topic 8 · Solving $\log_2(x-y)=1$ and $\log_4(2x+y)=2$
Topic 10 · One white and one red ball drawn from $5$ white, $7$ black and $8$ red balls
Topic 27 · Normal to $y=x^2-2x+2$ parallel to $x+2y=10$
Topic 27 · Stationary point of $y=x^3-3x^2+3x-2$
Topic 11 · Pre-image of $(3,-1)$ under $(x,y)\mapsto(x-2y,\ x+2y)$
Topic 18 · Solving $\left(\sqrt[3]{2x-4}\right)^2=4$
Topic 8 · Making y the subject of a logarithmic inequality of the form $\log(y-k)<2\log(ax)$
Topic 42 · Simplifying $(\cos\theta+\sin\theta)(\cos\theta-\sin\theta)$
Topic 27 · Stationary points of $y=\dfrac{x^2}{x-1}$
Topic 10 · Finding $x$ for independent events with $p(a)=x$, $p(b)=2x$ and $p(a\cap b)=\dfrac{3}{8}$
Topic 14 · Inverse of $f(x)=\dfrac{x+2}{x-3}$, $x\neq3$