Page 84 - MAT KS3 Y8 Cambridge CheckPoint
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End-of-unit review


                 End-of-unit review


               1  The table below lists some common fractions, decimals and percentages. Copy and complete the table.

                                       3                              2
                       Fraction        4                              5

                       Decimal                0.8            0.3

                      Percentage                     20%                    50%

               2  Write 32% as:      a  a decimal         b  a fraction.

               3  Write 0.06 as:     a  a percentage      b  a fraction.
               4  Write   4   as:    a  a decimal         b  a percentage.
                         25
               5  Use division to convert each of these fractions to a decimal.
                  Give your answer to part c correct to three decimal places.
                  a   3      b   4       c   17
                     8          11          41
               6  Write these fractions in order of size, smallest first.
                  Show your working.

                                    11  5  3  1
                                   20   8  5  2
               7  Work out these additions and subtractions.
                  Write each answer in its simplest form.
                         5
                                                                                 5
                                                                                      1
                                                                                                  1
                                        2
                                                       2
                                                                     1
                  a   1  +      b   9  −        c   5  +      d   2  −       e  2 +  3        f  4 −  2  5
                     4   8          10  5          7   3          3  4           6    4           2    9
               8  Simon has two pieces of carpet.
                                                               3
                                       1
                  One of the pieces is 3  m long. The other is 4  m long.
                                       2                       5
                  a  What is the difference in the lengths of the two pieces of carpet?        1           3
                                                                                              3 m            m
                  b  Simon lays the two pieces of carpet together, end to end.                 2
                     What is the total length of the carpet?
               9  Work these out mentally.
                                                          1
                                                                        4
                  a   3   of $24    b   3  × 35    c   1  ×      d   3  ×      e   1 ÷  2     f   4  ÷  3
                     4                 5              3   8         5   7          3  5          7   8
               10 Work these out. Give each answer as a mixed number in its lowest terms.
                                                                                              In parts c, d and e
                                                                        4
                  a   2   of 14 kg   b   3  ×  18   c   7  ×  22   d  14 ÷     e  24 ÷  12
                     3                 5              8                 5             19      cancel before you do
                                                                                              any calculations.
               11 Which of these cards gives an answer that is different from the other two?
                  Show all your working.    A            B            C
                                               32 ×  3      81 ÷  9       42 ×  3
                                                    5           2             7





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