Page 180 - Mathematics Coursebook
P. 180

End of unit review



                 End of unit review


               1  What units would you use to measure the area of:
                  a  a hockey pitch      b  a book cover?
               2  Copy and complete the following area conversions.
                                   2
                          2
                  a  8 cm  =   mm         b  5 m  =   cm        c  420 mm  =   cm  2
                                                                           2
                                                         2
                                                 2
               3  Work out the area and perimeter of each of these rectangles.
                  a                b                    c    8 mm
                    5 cm               3 m
                                                                     5 cm
                           6 cm                 7 m
                                                        2
               4  A rectangular room has an area of 24 m .
                 The length of the room is 6 m.
                 Work out:  a  the width of the room      b  the perimeter of the room.
               5  a   Work out the area of these green shapes.
                                                                                     Make sure you write the correct
                  i                          ii                     20 mm            units with your answers.
                                  5 cm                                    5 mm
                  11 cm
                                                     15 mm
                                         5 cm                      9 mm


                             12 cm
                  b  Work out the perimeter of the shape in part ai.

               6  Work out:                                              3 cm
                  a  the volume of the cuboid
                  b  the surface area of the cuboid.
                                                                      6 cm
               7  This is part of Petra’s homework.       8 cm




                      Question   A cuboid has a length of 15 mm, a width of 8 mm and a height of
                                  12 mm.
                                  What is the volume of the cuboid?
                                  What is the volume of the cuboid?
                      Solution  Volume = 15 + 8 + 12
                                           = 35 mm



                 Petra has got the solution wrong.
                  Explain the mistakes that Petra has made and work out the
                  correct answer for her.
               8  a  Work out the surface area of this cuboid.             2.5 m
                  b  Show how to use estimation to check your
                     answer to part a.                                   3.8 m

                                                                                             7.1 m

                                                                                       18 Area, perimeter and volume    179
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