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13 Work out the size of each unknown angle in these diagrams.
                    Explain how you worked out your answers.

                               a°
                        35°                                                     e°   116°
                                                                                              f°
                         b°                                                 42° d°
                    c°


                  Diagram not drawn accurately
               14 Copy these 3D shapes and draw on them their planes of symmetry.
                   a                                      b                                 c








               15  Ceri is looking into the age of the children at a youth    Age (years)     Tally    Frequency
                  club. She uses this data-collection sheet.
                    She asks the children to say which age group they are in.   12–14
                  a   Give two reasons why her data collection sheet is         14–16
                     not suitable.                                              16–18
                  b  Design a better data-collection sheet.
                                                                                              Total


               16 Sarah sews together two pieces of material to make a curtain.
                                               3
                                                                       2
                    The first piece of material is 1 m wide, the second is 2 m wide.
                                               5                       3
                  a  What is the total width of the curtain?
                  b  Show how to check your answer is correct.                               1  3  m      2  2  m
                                                                                               5           3
               17 Work out the answers to these.                                           Diagram not drawn accurately
                    Write each answer in its simplest form and as a mixed number when appropriate.

                  a   1  ×  36         b   2  ×  15         c  9 ÷  3        d   4  ÷  12
                     8                    5   16                   8            5    25
               18 Draw a line AB 8 cm long.
                    Mark the point C on the line, 3 cm from A.                                      8 cm
                    Construct the perpendicular at C, as shown in the diagram.            A                      B
                                                                                            3 cm C
               19 a  Draw a circle of radius 5 cm.
                  b  Using a straight edge and compasses, construct an inscribed regular hexagon.
                    Make sure you leave all your construction lines on your diagram.                        5 cm
               20 Work out the length of the side marked   in each triangle.
                    Give each answer correct to one decimal place.
                   a                               b      16 m
                                    8 cm


                          14 cm                             7 m
                     Diagram not drawn accurately


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