Year 9 angles in polygons test to download as PDF

This Year 9 angles in polygons test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 13-14, and the full answers are on a separate page.

⏱️ Duration : 45 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Interior and exterior angles
Answer each part and show your working.
1. Find the sum of the interior angles of a hexagon. (1 mark)
2. Find each interior angle and each exterior angle of a regular octagon. (2 marks)
3. A regular polygon has exterior angles of \(24^\circ\). How many sides does it have? (1 mark)
Question 2 – Missing angles
A pentagon has angles \(120^\circ\), \(100^\circ\), \(110^\circ\), \(x\) and \(x\).
1. Write down the sum of the interior angles of a pentagon. (1 mark)
2. Write an equation for \(x\). (1 mark)
3. Solve it to find \(x\). (2 marks)
Question 3 – Tiling patterns
Priya is designing a floor pattern with regular polygons.
1. Show that regular hexagons fit together at a point with no gaps. (2 marks)
2. Explain why regular decagons cannot be used alone to tile a floor. (2 marks)
Question 4 – Problem: the robot path
A robot moves forward 1.5 m and then turns left through \(36^\circ\). It repeats this until it is back at its start.
1. How many times does it repeat the command? (1 mark)
2. What is the interior angle of the shape it traces? (1 mark)
3. Find the total distance travelled. (1 mark)
4. The program is changed to a turn of \(45^\circ\). What shape is traced now? (1 mark)
Question 5 – Problem: is it possible?
Jake says: "I have drawn a regular polygon with an interior angle of \(130^\circ\)."
1. Work out the exterior angle of his polygon. (1 mark)
2. Show that Jake cannot be correct. (2 marks)
3. A regular polygon has an interior angle of \(135^\circ\). How many sides does it have? (1 mark)

How to use this Year 9 angles in polygons test

First, revise with the angles in polygons lesson and the worksheet. Then sit the test in one go, with a timer set to 45 minutes. After that, mark your work with the angles in polygons test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 9 angles in polygons test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.