Mathematics 4024 · O Level
Symmetry
23 practice questions on Symmetry, with worked solutions and instant marking.
There are six small triangles shaded in the diagram. Shade one further small triangle so that the diagram will then have one line of symmetry.
May/June 2015
Complete the diagram so that it forms a quadrilateral $ABCD$ with $AC$ as the line of symmetry.
May/June 2016
Fill in the blanks. A rectangle has rotational symmetry of order .......... and .......... lines of symmetry.
May/June 2016
Complete the sentences that describe two distinct types of quadrilateral.
May/June 2017
Add one further small triangle to the shape below so that the pattern has one line of symmetry.
May/June 2017
The figure shows one half of a shape that is symmetrical about the line $L$. Complete the figure.
May/June 2018
Triangle $OPQ$ is part of a figure with rotational symmetry of order $2$ about point $O$. Complete the figure.
May/June 2018
Complete the symmetry description for each shape.
May/June 2021
Write down the number of lines of symmetry shown by this diagram.
May/June 2022
Finish the pattern so that $AB$ is the only line of symmetry.
May/June 2023
Using this word, write down the letters that have
May/June 2024
Shade one additional small square so that the diagram has a single line of symmetry.
May/June 2024
The diagram shows a section of a pattern that has rotational symmetry of order 4.
May/June 2025
Shade one small square so that the diagram has rotational symmetry of order $2$.
May/June 2025
The diagram contains five shaded small squares. Shade one further small square so that there is exactly one line of symmetry in the diagram.
Oct/Nov 2016
The diagram contains part of a figure with $AB$ as its line of symmetry. Complete the figure.
Oct/Nov 2017
The diagram contains part of a figure with rotational symmetry of order $4$ about point $O$. Complete the figure.
Oct/Nov 2018
In the diagram, three small triangles are already shaded. Shade one additional small triangle so that the diagram has exactly one line of symmetry.
Oct/Nov 2019
The diagram contains a circle, its centre and two chords of equal length. There is only one line of symmetry in the diagram. Draw that line of symmetry.
Oct/Nov 2019
The diagrams show shaded squares.
Oct/Nov 2021
Shade one extra small triangle so that the shape has rotational symmetry of order $3$.
Oct/Nov 2021
Sam is given six square tiles labelled $A, B, C, D, E$ and $F$.
Oct/Nov 2022
Shade one additional small square so that the diagram has a single line of symmetry.
Oct/Nov 2024