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31 A shop sells pots of cream in two different sizes.
                    A 300 ml pot costs $1.53. A 500 ml pot costs $2.60.               300 ml        500 ml
                    Which size pot is better value for money?                         $1.53         $2.60
                    Show all your working.

               32 Copy and complete each statement.
                  a  6 m  =   cm          b  550 mm  =   cm        c  0.8 m  =   cm 3
                        2
                                 2
                                                     2
                                                             2
                                                                           3
                  d  5.2 cm  =   mm       e  450 cm  =   ml        f  3.6 ha =   m 2
                           3
                                                    3
                                     3
               33 A circle has a radius of 6.5 cm. Work out:
                  a  the area of the circle
                  b  the circumference of the circle.
                    Give both your answers correct to one decimal place. Use the ‘π’ button on your calculator.
               34 Work out:  i  the volume        ii  the surface area
                    of the triangular prism and the cylinder.
                    Give your answers to part b correct to one decimal place.
                   a                                                        b           7 cm
                                                26 cm
                                                                                              15 cm
                     10 cm
                                                13.2 cm
                               24 cm
               35 Mia has two spinners, as shown.
                    She spins the spinners and then multiplies the numbers
                  they land on to get a score.                                                    ×    2   3   4
                  a   Copy and complete the sample space diagram to      4                 3
                     show all the possible scores.                        2  3           2        2    4
                  b  What is the probility that Mia scores 6?                                     3
                  c  What is the probility that Mia does not score 6?
               36 An aeroplane leaves an airport and flies 400 km on a bearing of 140°.
                    It then flies 320 km on a bearing of 050°.
                  a  Make a scale drawing of the aeroplane’s journey. Use a scale where 1 cm represents 40 km.
                  b  How far is the aeroplane away from the airport?
                  c  On what bearing must the aeroplane fly to return to the airport?

               37 a  Copy and complete this table of values for the
                     function y = 3x − 1.                                     x    −3  −2   −1   0    1    2   3
                  b   On graph paper, draw the line y = 3x − 1 for            y
                     values of x from −3 to + 3.
                  c  What is the gradient of the line y = 3x − 1?
               38  The table shows the times taken by some adults to complete       Time, t (minutes)  Frequency
                  a crossword.
                  a  How many adults completed the crossword?                            0 ≤ t < 4          9
                  b   What fraction of the adults completed the crossword                4 ≤ t < 8         16
                     in less than 8 minutes?                                            8 ≤ t < 12          8
                  c  Draw a frequency polygon for this data.
                                                                                       12 ≤ t < 16          7



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