Edexcel IGCSE Maths
Topic questions Geometry and measures Constructions and loci
27 questions · 74 marks · about 1.5 hours
The diagram shows a 6-sided polygon.
Measure the length of the side AB Give the units of your answer.
Measure the size of the angle marked x
Write down the mathematical name of a 6-sided polygon.
Using ruler and compasses only, construct the perpendicular bisector of the line AB Show all your construction lines.
Using ruler and compasses only, construct the perpendicular bisector of the line AB Show all your construction lines.
Use ruler and compasses only to construct the bisector of angle ABC You must show all your construction lines.
ABC is an equilateral triangle with sides of length 9 cm.
Use a ruler and compasses only to construct the triangle ABC The side AB has been drawn for you. You must show all your construction lines.
Use a ruler and compasses only to construct a square with sides of length 7 cm. You must show all your construction lines. Two sides of the square have been drawn for you.
The diagram shows a 5-sided polygon, ABCDE
Write down the mathematical name for a 5-sided polygon.
Measure the length of the line AB Give your answer in centimetres.
On the diagram, mark an obtuse angle with the letter T
Write down the mathematical name of this polygon.
Measure the length of the line AB Give your answer in centimetres.
Here are six triangles drawn on a grid of squares.
Two of these triangles are congruent.
Write down the letters of these two triangles.
Here is a sketch of triangle ABC
AC = 8 cm BC = 6.5 cm angle ACB = 38°
In the space below, make an accurate drawing of triangle ABC The line AC has been drawn for you.
Use ruler and compasses only to construct the perpendicular bisector of line AB You must show all your construction lines.
Use ruler and compasses only to construct the perpendicular bisector of line AB You must show all your construction lines.
In the space below, draw a line of length 6.5 cm
The diagram shows the straight lines QP and QR
Measure the size of angle PQR
Using ruler and compasses only, construct the bisector of angle BAC You must show all your construction lines.
Using ruler and compasses only, construct the bisector of angle BAC You must show all your construction lines.
ABC is a triangle. AB = 8 cm, AC = 6 cm and BC = 9 cm.
Use a ruler and compasses to construct the triangle ABC. The side AB has been drawn for you. You must show all your construction lines.
Triangle ABC is an equilateral triangle of side 6 cm.
Using a ruler and compasses only, construct triangle ABC You must show all your construction lines.
Side AB has been drawn for you.
Also involves Parallel and perpendicular lines
The diagram shows a 5‑sided polygon.
Measure the length of the side AB Give the units of your answer.
Measure the size of the angle marked x
On the diagram, mark with arrows (
) a pair of parallel sides.
Write down the mathematical name of a 5‑sided polygon.
The accurate scale diagram shows the map of an island drawn on a centimetre grid.
The position of Aaron’s house is A. The position of Bharat’s house is B.
Write down the coordinates of A.
By measurement, find the bearing of A from B.
Measure the length of the line AB. Give your answer in centimetres correct to one decimal place.
Aaron cycled along a straight path from his house to Bharat’s house. The scale of the map is 1 cm represents 5 km.
Work out the distance, in kilometres, that Aaron cycled.
Aaron left his house at 10 45 am and arrived at Bharat’s house at 1 05 pm.
How long did Aaron’s cycle ride take him? Give your answer in hours and minutes.
The diagram shows a solid prism.
How many vertices has the prism?
How many faces has the prism?
Using ruler and compasses only, in the space below construct the equilateral triangle ABC with sides of length 7 cm. You must show all your construction lines.
Side AB has already been drawn for you.
Using ruler and compasses only, construct the bisector of angle ABC. You must show all your construction lines.
Using ruler and compasses only, construct the bisector of angle ABC. You must show all your construction lines.
The diagram shows a quadrilateral ABCD drawn on a square grid.
Measure the length of BC.
Write down the mathematical name of quadrilateral ABCD.
Write down the order of rotational symmetry of quadrilateral ABCD.
On the diagram, mark an obtuse angle with the letter x.
Here is a diagram of a trapezium.
Work out the area of the trapezium.
Write down the mathematical name of this 3‑D shape.
Measure the length of AB.
Here are six shapes.
A B C D E F
Two of these shapes are congruent.
Write down the letters of these two shapes.
Use ruler and compasses to construct the bisector of angle BAC. You must show all your construction lines.
Use ruler and compasses only to construct the perpendicular bisector of the line AB. You must show all your construction lines.
Use ruler and compasses to construct the perpendicular bisector of the line DE. You must show all your construction lines.
D E
Also involves Measuring lengths and angles, bearings
The diagram shows points A, B and C on a square grid.
Write down the coordinates of C.
Measure the length of BC. Give your answer in centimetres.
On the grid, mark with a cross (X) the point D so that ABCD is a parallelogram. Label this point D.
Memes
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