Module 3 · Practice
Practice questions
Three difficulty levels. Have a proper go before checking the answers.
Section A — Easy
Warm-up
A quadrilateral has angles 90°, 90°, 110°. What is the fourth angle?
Two parallel lines are crossed by a transversal. One angle is 65°. State the size of:
Calculate the sum of interior angles of a pentagon (5 sides).
Each exterior angle of a regular polygon is 40°. How many sides does it have?
Write the bearing for:
A scale drawing uses 1 : 200. A wall is 8cm on the drawing. Real length in metres?
Section B — Medium
Typical Year 8 standard
The angles of a quadrilateral are x, 2x, x + 30 and 90. Find x.
Find the size of each interior angle of a regular octagon (8 sides).
Two parallel lines are crossed by a transversal. The two angles formed on the same side of the transversal between the parallel lines are 3x and 2x + 20. Find x.
Town B is on a bearing of 050° from town A, 12km away. Sketch the situation. Estimate the bearing of A from B.
A map has scale 1 : 25 000. Two villages are 4.4cm apart on the map. Real distance in km?
Section C — Hard
Challenge / problem-solving
The interior angles of a polygon are 130°, 140°, 150°, 160° and the rest are equal. The polygon has 8 sides. Find the size of each of the remaining angles.
The interior angle of a regular polygon is 144°. How many sides has it?
A ship sails on a bearing of 060° for 8km, then on a bearing of 150° for 6km. Sketch the path. What is the bearing of the start point from the ship's final position?
Construct a triangle with sides 6cm, 5cm and 4cm using ruler and compasses. Measure and state the largest angle. (Describe the construction steps.)