1019 past contests
Topic 8 · Solving $\log_4(x-1)+1=\log_4(2x+6)$
Topic 8 · Solving $\log_2(x+5)=\log_2(x-2)+1$
Topic 31 · Chord length $l=2\sqrt{r^2-d^2}$ for radius $15$ cm and distance $12$ cm
Topic 9 · Riddle: the number $2$, the only even prime that partitions the integers
Topic 42 · Is $\csc^2a=\cot^2a+1$? (true/false)
Topic 42 · Is $\tan^2a=\sec^2a+1$? (true/false)
Topic 42 · Is $\cos^2a-\sin^2a=\cos(2a)$? (true/false)
Topic 38 · Does $\tan^{-1}(1)$ equal $\cos^{-1}(1)$? (true/false)
Topic 38 · Does $2\cos^{-1}\left(\dfrac{\sqrt3}{2}\right)$ equal $\sin^{-1}\left(\dfrac{\sqrt3}{2}\right)$? (true/false)
Topic 38 · Does $2\cos^{-1}\left(\dfrac{1}{\sqrt2}\right)$ equal $\sin^{-1}(1)$? (true/false)
Topic 42 · $\sin(2a)$ given $\sin a=\dfrac{3}{5}$, $a$ obtuse
Topic 27 · Stationary point of $y=\sqrt{x^2+4}$
Topic 15 · Arrangements of $square$ beginning with a consonant and ending with a vowel
Topic 30 · Curve with gradient $2kx+3$ through $a(1,5)$ and $b(-2,8)$
Topic 30 · Curve with gradient $2x+3k$ through $a(1,13)$ and $b(-1,-11)$
Topic 30 · Curve with gradient $2x-k$ through $a(2,7)$ and $b(-1,-2)$
Topic 45 · Line of reflection $l$ for $a(2,1)$, $b(1,2)$ and other point pairs
Topic 9 · Riddle: $1089$, a four-digit odd number with digit sum $18$
Topic 4 · Variance, mean deviation and mode: location versus dispersion (true/false)
Topic 19 · Finding $b$ and $c$ when $x^2+bx+c\lt0$ has solution set $-1\lt x\lt5$