1019 past contests
Topic 27 · Least value of $2x^2-20x+30$ using differentiation
Topic 43 · Area of a circle in terms of $\pi$ from its general equation
Topic 35 · Side of a rhombus with diagonals $20$ cm and $30$ cm
Topic 13 · First term and common difference given $u_3=6$ and $u_6=15$
Topic 44 · Intersection of a quadratic curve and a line by simultaneous equations
Topic 18 · Simplifying $\dfrac{\sqrt{7}+\sqrt{3}}{\sqrt{7}-\sqrt{3}}$ and $\dfrac{\sqrt{11}-\sqrt{7}}{\sqrt{11}+\sqrt{7}}$
Topic 30 · Evaluating $\int_1^2(6x^2+4x-8)\,dx$
Topic 17 · Evaluating $3*(2*1)$ for $m*n=m+n\sqrt{3}$
Topic 17 · Evaluating $3*(2*5)$, $(2*3)*5$ and $5*(3*2)$ for $m*n=m\sqrt{2}+n\sqrt{5}$
Topic 25 · Solving $2x-5\lt3x+8\lt2x+5$, a compound linear inequality
Topic 45 · Image of $a(-2,3)$ after reflection in the origin then the line $y=x$
Topic 40 · Least and greatest value of $\dfrac{15}{2\sin x+5}$
Topic 14 · Inverse of $f(x)=\dfrac{x-1}{x-2}$, $\dfrac{2x-1}{3x+2}$ and $\dfrac{x+1}{1-2x}$
Topic 42 · Rationalising $\dfrac{a}{1\pm\sin\theta\text{ or }\cos\theta}$ at standard angles
Topic 22 · Partial fractions of $\dfrac{2x+1}{(x-2)^2}$ with a repeated factor
Topic 19 · Constants $a$, $b$, $c$ in $a-b(x+c)^2$ equal to a given quadratic
Topic 27 · Gradient of the tangent to $y^2=4(x+2)$ at $(2,4)$ by implicit differentiation
Topic 8 · Solving $\log_{2}(x^2-8x+20)=3$
Topic 43 · Does $x^2+y^2+2gx+2fy+c=0$ represent a real circle? (true/false)
Topic 40 · Riddle: identifying a trig function from its period and maximum