Download ANGLES: POLYGONS and more Study notes Mathematics in PDF only on Docsity!
Edexcel GCSE
Mathematics (Linear) – 1MA
ANGLES: POLYGONS
Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.
Instructions
Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions. Answer the questions in the spaces provided – there may be more space than you need. Calculators may be used.
Information
The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed – you should take particular care on these questions with your spelling, punctuation and grammar, as well as the clarity of expression.
Advice
Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end.
1. Each exterior angle of a regular polygon is 30°.
Work out the number of sides of the polygon.
(2 marks) 2.
Work out the size of an exterior angle of a regular pentagon.
(2 marks) 3.
Calculate the size of the exterior angle of a regular hexagon.
(2 marks)
Diagram accurately drawn
NOT
Diagram accurately drawn
NOT
Diagram NOT accurately drawn
(a) Work out the size of each interior angle of a regular octagon.
The size of each exterior angle of a regular polygon is 30^0
(b) Work out the number of sides of the polygon.
(5 marks)
8.
Diagram NOT accurately drawn
The diagram shows part of a regular 10-sided polygon.
Work out the size of the angle marked x.
(3 marks)
x
The diagram shows a regular hexagon and a regular octagon.
Calculate the size of the angle marked x. You must show all your working.
(4 marks) ______________________________________________________________________________
Diagram NOT accurately drawn
ABCDE and EHJKL are regular pentagons. AEL is an equilateral triangle.
Work out the size of angle DEH.
(4 marks)
12. The diagram shows part of a pattern made from tiles.
The pattern is made from two types of tiles, tile A and tile B.
Both tile A and tile B are regular polygons.
Work out the number of sides tile A has.
(4 marks) ______________________________________________________________________________
