Page 50 - MAT KS3 Y8 Cambridge CheckPoint
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4.2 Kilometres and miles


               3  Copy and complete these conversions of kilometres into miles.
                  a  64 km         64 ÷ 8 = 8       8 × 5 =   miles
                  b  40 km         40 ÷ 8 =            × 5 =   miles
                  c  56 km         56 ÷   =            ×   =   miles

               4  Convert these distances into miles.
                  a  24 km         b 48 km          c 96 km          d 176 km
               5  Copy and complete these conversions of miles into kilometres.
                  a  55 miles      55 ÷ 5 = 11      11 × 8 =   km
                  b  20 miles      20 ÷ 5 =            × 8 =   km
                  c  85 miles      85 ÷   =            ×   =   km

               6  Convert these distances into kilometres.
                  a  10 miles      b 100 miles      c 125 miles      d 180 miles

               7  Which is further, 104 km or 70 miles? Show your working.
               8  Which is further, 90 miles or 152 km? Show your working.

               9  Use only the numbers from the box to complete these statements.
                  a  120 km =   miles
                  b  105 miles =   km                                                   115    140    75     224
                  c     km =   miles
                                                                                           184           168
                  d     miles =   km
               10 Every car in the USA is fitted with a mileometer.
                  The mileometer shows the total distance that a car has travelled.
                    Evan is a salesman.
                  This is the reading on his mileometer at the start of one week.  1  2  5  4  6  5  miles
                  This is the reading on his mileometer at the end of the week.   1  2  6  3  3  5  miles
                  a  How many kilometres has Evan travelled in this week?
                  b  Evan is paid 20 cents for each kilometre he travels. This is to pay for the petrol he uses.
                     Work out the amount Evan is paid this week for the petrol he uses. Give your answer to the
                     nearest dollar.


               Summary

                You should now know that:                          You should be able to:
                ★   The units you use to measure area are always the    ★   Choose suitable units of measurement, including
                   square units of length.                            units of mass, length, area, volume or capacity, to
                ★   The units you use to measure volume are always    estimate, measure, calculate and solve problems
                                                                      in a range of contexts.
                   the cube units of length.
                                     5                             ★   Compare distances measured in miles and in
                ★   One kilometre is about   of a mile.
                                     8                                kilometres.
                ★   To convert a distance in kilometres to a distance in   ★   Convert a distance in kilometres to a distance in
                                 5
                   miles, multiply by  .                              miles.
                                 8
                                                                   ★   Convert a distance in miles to a distance in
                ★   To convert a distance in miles to a distance in   kilometres.
                                     8
                   kilometres, multiply by  .
                                     5


       48      4 Length, mass and capacity
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