1019 past contests
Topic 10 · Probability of exactly one head in three tosses of a coin with $p(h)=\dfrac{3}{5}$
Topic 8 · Solving $\dfrac{(2^x)^x}{8^x}=16$
Topic 1 · Component of $5\mathbf{i}+6\mathbf{j}$ in the direction of $3\mathbf{i}+4\mathbf{j}$
Topic 10 · Finding $p(a)$ given $p(a\cup b)=\dfrac{4}{5}$, $p(a\cap b)=\dfrac{1}{3}$ and $p(b)=\dfrac{3}{5}$
Topic 26 · Integer root of $x^3-2x^2=75$
Topic 19 · Solving $x+y=8$ and $y=x^2-12$
Topic 1 · Sine of the angle between $2\mathbf{i}+\mathbf{j}$ and $\mathbf{i}-\mathbf{j}$
Topic 30 · Curve with gradient $3x^2-\dfrac{1}{x^2}$ through the point $(1,5)$
Topic 44 · Testing three points for collinearity using slopes
Topic 10 · Finding $x$ for independent events with $p(a)=x$, $p(b)=3x$ and $p(a\cap b)=\dfrac{1}{6}$
Topic 42 · Riddles: pythagorean and compound-angle identities
Topic 19 · Factor theorem: is a quadratic a factor of a cubic polynomial? (true/false)
Topic 34 · Vacuous truth: if the angle sum is $200^\circ$ then the triangle is a square (true/false)
Topic 39 · Solving $2\cos x+\sqrt3=0$ for $\dfrac{\pi}{2}\lt x\lt\pi$
Topic 27 · Normal to $y=x^2-x+5$ parallel to $x+3y=10$
Topic 19 · Constants in $a(x-3)^2+b(x-3)+c=2x^2-5x-12$
Topic 11 · Matrix of a linear transformation from the images of $\mathbf{i}(1,0)$ and $\mathbf{j}(0,1)$
Topic 13 · Terms $u_3$, $u_4$ and $u_5$ from the recurrence $u_{n+2}=u_{n+1}\pm u_n$
Topic 14 · Range of $y=\dfrac{2x-3}{x+2}$
Topic 46 · Locus of $p(x,y)$ when $a=x\mathbf{i}+y\mathbf{j}$ and $b=x\mathbf{i}-y\mathbf{j}$ are perpendicular