Symmetry & Shapes (OCR GCSE Maths: Higher): Exam Questions

Here is a sketch of a quadrilateral.

All lengths are in centimetres.

Tick one box for each statement.

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Tick all the statements that are true for any rhombus.

 The diagonals are lines of symmetry

 The diagonals bisect each other

 The diagonals are perpendicular

 The diagonals are equal in length

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This shape is made from two triangles and four congruent parallelograms.

For each statement, tick the correct box.

The triangles are equilateral.

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The triangles are congruent.

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Write down the order of rotational symmetry of the diagram.  

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The diagram shows a pyramid with a square base.
The triangular faces are congruent isosceles triangles.

Write down the number of planes of symmetry of this pyramid.  

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The diagram shows a cuboid. = 8 cm,  = 4 cm and = 5 cm.

Write down the number of planes of symmetry of this cuboid.

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Here is a cube with edge length cm

One diagonal is shown.

The total length, in centimetres, of the edges of the cube is a multiple of 18

Circle the correct statement.

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The cross section of a prism has  sides.

Circle the expression for the number of edges of the prism.

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