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2.6  Deriving and using formulae



                         2.6  Deriving and using formulae






                     Exercise 2.6                                                                  Key words

                                                                                                   changing the
                     Focus                                                                         subject
                     1  You already know a lot of mathematical formulae.                           subject of a

                         Match each rectangular card with the correct oval card.                   formula

                          A  Area of a triangle               B  Volume of a cuboid



                          C  Area of a parallelogram          D  Circumference of a circle


                          E  Area of a trapezium              F  Area of a circle



                                                          =
                             i  A = π r 2           ii  A bh                 iii  C = π d



                                                                                  1
                              iv  V =  lbh         v  A =  1 bh           vi   A = ( a +  b h
                                                                                          )
                                                           2                      2
                     2  a  Work out the number of hours in
                             i   1 day                                       ii  2 days
                             iii  3 days                                     iv  d days.
                         b  The formula to work out the number of hours (H) in d days

                             is H = 24d.                                                        Tip
                             Copy and complete the working to find the number of hours          Substitute d = 10
                             in 10 days.                                                        into the formula.
                             H = 24d = 24 × d = 24 × 10 =

                     3  a  Work out the number of days in
                             i   1 week                                      ii  2 weeks
                             iii  3 weeks                                    iv  w weeks.
                         b  Copy and complete the formula to work out the number of days (D) in w weeks: D = ……
                             Use your formula to find the number of days in 8 weeks.

                     4  a  Work out the total number of days in
                             i   1 week and 2 days                           ii  3 weeks and 4 days
                             iii  w weeks and d days.







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