1019 past contests
Topic 19 · Maximum or minimum point of $y=2x^2-4x+5$
Topic 43 · Circle with centre $c(1,2)$ through $p(-2,6)$
Topic 13 · Three consecutive even integers whose sum is $30$ more than twice the middle number
Topic 21 · Solving $|2x+3|\lt11$
Topic 2 · Riddle: the word operation in mathematics and in a hospital
Topic 38 · Is $\tan^{-1}(1)=\dfrac{1}{\cot^{-1}(1)}$? (true/false)
Topic 38 · Is $\cos^{-1}(0)=\cos(0)$? (true/false)
Topic 38 · Is $\sin^{-1}(0)=\sin(0)$? (true/false)
Topic 19 · Does $x^2+x+2=0$ have no real roots? (true/false)
Topic 19 · Does $x^2+5x+4=0$ have rational roots? (true/false)
Topic 19 · Does $x^2+5x-4=0$ have real roots? (true/false)
Topic 8 · Combining $\log x-3\log y+2\log z-\log t$ into a single logarithm
Topic 26 · $x^3+ax^2-4x+5$ leaves remainder $-5$ on division by $x+1$: find $a$
Topic 36 · Interior angle of a regular nonagon in radians, $\dfrac{7\pi}{9}$
Topic 36 · Interior angle of a regular decagon in radians, $\dfrac{4\pi}{5}$
Topic 36 · Interior angle of a regular heptagon in radians, $\dfrac{5\pi}{7}$
Topic 19 · Completing the square: $4x^2-16x+21=a(x+b)^2+c$
Topic 19 · Completing the square: $3x^2+18x+10=a(x+b)^2+c$
Topic 19 · Completing the square: $2x^2-20x+37=a(x+b)^2+c$
Topic 32 · Riddles: the tetrahedron, pyramids, prisms, cube and octahedron