1019 past contests
Topic 13 · Common difference of a linear sequence with terms $x-4$, $2x-4$ and $6-2x$
Topic 34 · Area of a triangle with sides $\sqrt{7}$, $2\sqrt{7}$ and $\sqrt{35}$
Topic 21 · Solving $|2x-5|=|x+7|$
Topic 43 · Circle with centre on a line, tangent to the x-axis at a given point
Topic 19 · Solving $|x^2-30|=x$
Topic 9 · Counting the odd three-digit palindromes $\overline{aba}$ whose digits sum to $11$
Topic 47 · Cartesian equation from $x=6\tan t$, $y=8\sec t$
Topic 26 · $ax^3+2x^2+bx-4$ divisible by $(x+1)^2$: find $a$ and $b$
Topic 8 · Reducing an exponential relationship $y=ab^x$ to linear form $v=mu+c$
Topic 8 · Solving $\log_b x - b\log_x b = b-1$ using the reciprocal relationship between mutual-base logs
Topic 19 · Compound inequality $16\lt x^2\lt36$
Topic 40 · Greatest and least value of $|6\sin x-5|$
Topic 44 · Tangent of the acute angle between two lines from their gradients
Topic 19 · Maximum product of two numbers with sum $16$
Topic 27 · Finding $b$, $c$, $d$ in $f(x)=3x^3+bx^2+cx+d$ from $f'(x)$ and $f(1)=8$
Topic 30 · Integrating $(2x-3)(x^2-3x+2)^5$ by substitution
Topic 8 · $\log(mn)$ when $\log m$ and $\log n$ are the roots of $3x^2-5x+2=0$
Topic 19 · Constants $p$ and $q$ when $x^2-2x+3$ divides $3x^3+px^2+qx+15$
Topic 13 · First term and common difference given $s_4=36$ and $u_7=24$
Topic 17 · Identity element of $a*b=a+b+ab$ on the non-negative integers