← Back to topics

Mathematics · Topic 33

Symmetry of plane and solid figures

Sub-topic 1 2025 · National One-Eighth Free

Riddles: the regular polygon, circle, square and triangles

Read past contest →
Sub-topic 2 2023 · National One-Eighth Premium

Riddles: the hexagon, pentagon and octagon and their symmetry

Read past contest →
Sub-topic 3 2026 · National Preliminary Premium

Order of rotational symmetry of a kite, parallelogram and rectangle (true/false)

Read past contest →
Sub-topic 4 2026 · National Preliminary Premium

Order of rotational symmetry of a kite, parallelogram and rectangle (true/false)

Read past contest →
Sub-topic 5 2026 · National Preliminary Premium

Which shapes have a centre of symmetry, such as a pentagon and a rhombus (true/false)

Read past contest →
Sub-topic 6 2017 · National Quarterfinal Premium

Axes of symmetry of an equilateral triangle, a parallelogram and a square

Read past contest →
Sub-topic 7 2025 · National Preliminary Premium

Riddles: the triangle, its symmetry and its angle sums

Read past contest →
Sub-topic 8 2013 · National Preliminary Premium

An isosceles triangle fits its outline in $2$ positions (true/false)

Read past contest →
Sub-topic 9 2013 · National Preliminary Premium

An equilateral triangle has $3$ axes of symmetry (true/false)

Read past contest →
Sub-topic 10 2013 · National Preliminary Premium

A diagonal is not generally an axis of a parallelogram (true/false)

Read past contest →
Sub-topic 11 2013 · National Quarterfinal Premium

A regular hexagon fits its outline in $6$ rotational positions (true/false)

Read past contest →
Sub-topic 12 2013 · National Quarterfinal Premium

A square fits its outline in $8$ positions (true/false)

Read past contest →
Sub-topic 13 2013 · National Quarterfinal Premium

A scalene triangle fits its outline in one position (true/false)

Read past contest →
Sub-topic 14 2014 · National Final Premium

The capital letter $a$ has one axis of symmetry (true/false)

Read past contest →
Sub-topic 15 2014 · National Final Premium

The capital letter $h$ has two axes of symmetry (true/false)

Read past contest →
Sub-topic 16 2014 · National Final Premium

The capital letter $w$ has one vertical axis of symmetry (true/false)

Read past contest →
Sub-topic 17 2016 · National One-Eighth Premium

Axes of symmetry of a regular pentagon and other regular polygons

Read past contest →
Sub-topic 18 2022 · National Preliminary Premium

A rhombus fits its outline in $4$ positions and has $4$ axes (true/false)

Read past contest →
Sub-topic 19 2022 · National Preliminary Premium

A rhombus fits its outline in $4$ positions or has $4$ axes (true/false)

Read past contest →
Sub-topic 20 2022 · National Preliminary Premium

A kite fits its outline in $2$ positions and has $2$ axes (true/false)

Read past contest →