1019 past contests
Topic 35 · Which diagonal of a kite bisects its end angles (true/false)
Topic 34 · The longer side of a triangle is opposite the greater angle (true/false)
Topic 33 · A diagonal is not generally an axis of a parallelogram (true/false)
Topic 34 · Similar figures are not necessarily congruent (true/false)
Topic 44 · Perpendicular bisector of a line segment
Topic 44 · Line through a point, parallel to a given line
Topic 44 · Line through a point, perpendicular to a given line
Topic 1 · Vector of length $10$ perpendicular to $3\mathbf{i}+4\mathbf{j}$
Topic 1 · Vector of length $10$ parallel to $2\mathbf{i}-2\mathbf{j}$
Topic 1 · Scalar product of $5\mathbf{i}-7\mathbf{j}$ and $14\mathbf{i}+10\mathbf{j}$
Topic 27 · Minimum value of $y=\dfrac{x^2+16}{x}$
Topic 19 · Minimum sum of two positive numbers with product $100$
Topic 19 · Maximum product of two numbers with sum $10$
Topic 13 · Finding $x$ when $x$, $x+1$ and $x+4$ are consecutive terms of a geometric progression
Topic 13 · Finding $x$ when $x-1$, $x+1$ and $x+9$ are consecutive terms of a geometric progression
Topic 13 · Finding $x$ when $x-4$, $x+2$ and $3x+1$ are consecutive terms of an arithmetic progression
Topic 42 · Riddles: pythagoras' theorem, the cosine rule and the sine rule
Topic 1 · Properties of vectors and the scalar product (true/false)
Topic 11 · Product of $\begin{bmatrix}1&0\\-1&2\end{bmatrix}$ and $\begin{bmatrix}2&-1\\0&1\end{bmatrix}$
Topic 11 · Product of $\begin{bmatrix}2&1\\-2&1\end{bmatrix}$ and $\begin{bmatrix}2&-1\\1&2\end{bmatrix}$