Symmetry & Shapes (Cambridge (CIE) IGCSE Maths: Core)

Write down the mathematical name for an angle which is less than 90°.

Write down the mathematical name for a polygon with 5 sides.

Write down the mathematical name for a quadrilateral with exactly one pair of parallel sides.

Measure the length of this line in millimetres.

........................................... mm 

i) Measure the size of angle .

[1]

ii) Write down the mathematical name of this type of angle.

[1]

Write down the order of rotational symmetry of each shape.

The grid shows a point and four quadrilaterals, and .

Write down the mathematical name of shape .

Write down the mathematical name for this type of angle.

and lie on a circle, centre .

i) .Write down the mathematical name for line .

[1]

ii)

Write down the length of the diameter of this circle.

............................................ cm [1]

The diagram shows a cuboid.

On the 1 cm² grid, complete the net of the cuboid.
One face has been drawn for you.

Write down the mathematical name of a quadrilateral that has

• rotational symmetry of order 1

and

• only one line of symmetry.

Measure the length of the line in millimetres.

.......................................... mm 

is the diameter of a circle.

Draw this circle.

Write down the order of rotational symmetry of the shape.

Draw all the lines of symmetry on the shape.

The diagram shows the net of a triangular prism on a 1cm² grid.

Write down the mathematical name for the type of triangle shown on the grid.

Complete the description of this pattern.

The pattern has ................ lines of symmetry

and order of rotational symmetry ................

On each shape, draw all the lines of symmetry.

i)

[1]

ii)

[2]

Write down the name of a quadrilateral that has

• rotational symmetry of order 2

and

•  exactly two lines of symmetry.

Complete each statement.

A quadrilateral with only one pair of parallel sides is called a ...............................................

An angle greater than 90° but less than 180° is called ...............................................

On the 1cm² grid, complete the net of this box.

The diagram shows a net of a solid.

Write down the mathematical name of the solid.

The diagram shows a quadrilateral on a 1 cm² grid.

Write down the mathematical name of this quadrilateral.

Shade two squares so that the diagram has rotational symmetry of order 2.

A cuboid measures 6 cm by 3 cm by 1 cm.

i) On the 1 cm² grid, draw an accurate net of this cuboid.
One face has been drawn for you.

[3]

ii) Calculate the surface area of the cuboid.

.......................................... cm² [2]

A cuboid has length 5 cm, width 4 cm and height 3 cm.

On the 1 cm² grid, complete the net of the cuboid. One face has been drawn for you.

Find the volume of the cuboid.

.......................................... cm³ 

The diagram shows the net of a solid on a 1cm² grid.

i) Write down the mathematical name for the solid.

[1]

ii) Work out the volume of the solid.

.......................................... cm³ [2]

A cuboid has length 3 cm, width 2 cm and height 1cm.

On the 1 cm² grid, draw a net of the cuboid.

A cuboid measures 6cm by 3cm by 2 cm.
On this 1cm² grid, draw a net of the cuboid.

Shade two more small squares to give a pattern with exactly one line of symmetry.

Write down the co-ordinates of point .

The quadrilateral has  as a line of symmetry.

On the grid, plot point .

Write down the mathematical name of quadrilateral .

Write down the order of rotational symmetry of quadrilateral .

Shade two more squares so that this grid has rotational symmetry of order 4.

The diagram shows a net of a cube.

i) The square labelled  is the base.

Write the letter  in the square that is the top of the cube.

[1]

ii) On the grid, draw a different net of this cube.

[1]