Geometry Toolkit (CIE IGCSE Maths: Core)

Write down the mathematical name for

an angle which is less than 90°.

a polygon with 5 sides

a quadrilateral with exactly one pair of parallel sides

Measure the length of this line in millimetres.

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

Measure the size 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 .

Write down the mathematical name for line .

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.

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.

Draw the line of symmetry on the shape below.

Shade one more square so that this pattern has rotational symmetry of order 2.

An open box in the shape of a cuboid is 7cm long, 5 cm wide and 4cm high.

Complete the net of the box.
The base of the box has been drawn for you.

and  are points on the circumference of the circle, centre .
The straight line  touches the circle at .

Write down the mathematical name for the line .

On the circle, draw a radius.

Here is a description of a quadrilateral.

It has 4 right angles.
It has 2 lines of symmetry.
It has rotational symmetry of order 2.

Write down the mathematical name of this quadrilateral.

Write down two geometrical properties of a parallelogram.

The net of a solid is drawn on a 1cm² grid.

Write down the name of the solid made from this net.

Work out the volume of this solid.

............................cm³ 

The diagram shows a quadrilateral  which is made from four congruent triangles A, B, C and D.

Write down the mathematical name for the quadrilateral

Write down the co-ordinates of .

[1]

Measure the obtuse angle

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Measure the length of the line .

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

and  are points on the circumference of a circle, centre .

Write down the mathematical name for

the straight line ,

the straight line .

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Draw all the lines of symmetry on each shape.

The diagram shows a rhombus

On the diagram, draw all the lines of symmetry

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

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

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.

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 4 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.

For this diagram, write down

the number of lines of symmetry,

the order of rotational symmetry.

The diagram shows a net of a cube.

The square labelled  is the base.

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

[1]