1. Angles Carousel Question 1
In the diagram AB and CD are parallel.
(a)     Write down the value of x. Give a reason for your answer
(b)     Work out the value of y. Give a reason for your answer
Not drawn accurately
      (c) Write down the values of a and b.
(Total 6 marks)

2. Angles Carousel Question 2
(a)     Calculate the size of an interior angle of a regular octagon.
(b)     Part of a tiled floor is shown.
          The tiles labelled P, Q, R and S are regular octagons.
          Explain why the tile labelled X is a square.
(Total 6 marks)

3. Angles Carousel Question 3
The diagrams show a trapezium and a parallelogram.
(a)     Use the trapezium to explain why         2x + y = 180
(b)     The parallelogram can be used to form another equation connecting x and y. Circle the correct equation.
3x + y = 130                                  3x + y = 230
3x = y – 50                                    3x + y = 410
(c)     Hence, or otherwise, work out the values of x and y.
(Total 6 marks)

4. Angles Carousel Question 4
ABCDEF is a regular hexagon.
AFGH and AJKB are squares.
Show that triangle AHJ is equilateral.
Not drawn accurately
(Total 6 marks)

5. Angles Carousel Question 5
The diagrams shows one corner of a regular shape
a) How many sides does the shape have?
b) What do the internal angles sum to?
(Total 4 marks)

6. Angles Carousel Question 6
A regular shape has 14 sides
a) Calculate the value of one internal angle
Calculate the value of one external angle. Show two possible methods for this calculation.
Another shape has internal angles which sum to 2520o, how many sides does this shape have?
(Total 7 marks)

7. Question number
Answer 1 2 3 4 5 6
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