1019 past contests
Topic 42 · Exact value of $\cos\dfrac{7\pi}{12}$
Topic 42 · Exact value of $\tan\dfrac{7\pi}{12}$
Topic 20 · Riddle: the binomial and its theorem
Topic 19 · Least value of $x^2-6x+10$ and the corresponding $x$
Topic 42 · Is $\dfrac{\tan59^\circ+\tan61^\circ}{1-\tan59^\circ\tan61^\circ}=\sqrt3$? (true/false)
Topic 42 · Is $\cos(47^\circ+73^\circ)-\sin47^\circ\sin73^\circ=\dfrac12$? (true/false)
Topic 42 · Is $\sin57^\circ\cos63^\circ+\cos57^\circ\sin63^\circ=\dfrac{\sqrt3}{2}$? (true/false)
Topic 13 · Exponential sequence $3,a,b,c,48$: finding $a$, $b$ and $c$
Topic 34 · Legs of a right triangle with a $1:2$ leg ratio and hypotenuse $10$ cm
Topic 24 · Joint variation $y=kxz$ with $y=12$ when $x=3$, $z=2$
Topic 1 · Final velocity $\mathbf{v}=\mathbf{u}+\mathbf{a}t$ (three examples)
Topic 11 · Product of a $2\times3$ matrix and a $3\times2$ matrix
Topic 9 · If $ab$ is even, is at least one of $a$, $b$ even? (true/false)
Topic 9 · If $ab$ is odd, are $a$ and $b$ both odd? (true/false)
Topic 9 · If $a+b$ is even, are $a$ and $b$ both even? (true/false)
Topic 9 · Riddle: $1357$, digits forming an arithmetic sequence of primes starting from $1$
Topic 19 · Is $x+3$ a factor of $x^3+3x^2+3x+9$? (true/false)
Topic 19 · Is $x+4$ a factor of $x^3+4x^2+2x+8$? (true/false)
Topic 19 · Is $x+2$ a factor of $x^3+4x^2+6x-2$? (true/false)
Topic 8 · Solving $\log_3(2x+3)=\log_3(x-3)+1$