1019 past contests
Topic 19 · $(\alpha-\beta)^2$ for the complex roots of $x^2-5x+7=0$
Topic 42 · Evaluating $\tan(30^\circ+\theta)$ given $\tan\theta=2$
Topic 42 · Evaluating $\tan(45^\circ-\theta)$ given $\tan\theta=2$
Topic 42 · Evaluating $\tan(45^\circ+\theta)$ given $\tan\theta=2$
Topic 19 · Real numbers $a$, $b$ with $a+b=3$ and $ab=-3$
Topic 35 · Angles in radians of a quadrilateral in the ratio $3:5:7:9$
Topic 19 · Real numbers $a$, $b$ with $a+b=5$ and $ab=5$
Topic 35 · Angles in radians of a quadrilateral in the ratio $1:2:3:4$
Topic 19 · Real numbers $a$, $b$ with $a+b=-7$ and $ab=9$
Topic 35 · Angles in radians of a quadrilateral in the ratio $3:4:5:6$
Topic 30 · Riddle: a definite integral, a number used for area and volume
Topic 26 · If $ax+b$ is a factor of $f(x)$ then $f\left(-\dfrac{b}{a}\right)=0$ (true/false)
Topic 26 · If $ax+b$ is a factor of $f(x)$ then $f(-b)=0$ (true/false)
Topic 26 · Factor theorem: $x-a$ a factor of $f(x)$ implies $f(a)=0$ (true/false)
Topic 31 · A radius is not part of the boundary curve of a circle (true/false)
Topic 31 · A sector is not part of the boundary curve of a circle (true/false)
Topic 31 · The centre is not part of the boundary curve of a circle (true/false)
Topic 8 · Problem of the day: evaluating $\dfrac1x+\dfrac1y$ given $2^x=3^y=216$, via change of base
Topic 44 · Line through a point, perpendicular to a given line
Topic 19 · Range of $y=-x^2+6x+7$