Page 46 - Mathematics Coursebook
P. 46

End of unit review



                 End of unit review


               1  Here are some decimal numbers.
                     5.012       0.66       19.8      123.01       2.39       23.1

                 Write down all the numbers that have two decimal places.

               2  Write down the value of the green digit in each of these numbers.
                  a  132.5         b  69.27         c  4.882         d  61.05

               3  a  Work these out.    i  49 × 10   ii  2.3 ÷ 10   iii  0.034 × 1000   iv  876 ÷ 100
                  b  Use an inverse operation to check all your answers to part a. Show your working.

               4  Copy and complete these calculations by filling in the empty boxes.
                  a  2.5 ×   = 250      b  3.2 ÷   = 0.0032       c  0.17   10 = 1.7

               5  Write these numbers in order of size, starting with the smallest: 5.49, 4.2, 5.3, 5.498
               6  Round 4753:       a  to the nearest 10             b  to the nearest 100    c  to the nearest 1000.

               7  Round 76.189:     a  to the nearest whole number   b  to one decimal place.
               8  This is part of Dafydd’s homework.           Question
                  a  Explain what Dafydd has done wrong.       Round 39.47 to the nearest whole number.
                     Explain what Dafydd has done wrong.
                  b  Write the correct answer.
                                                               Solution
                                                               Solution
                                                               The 7 rounds the 4 up to a 5 so 39.47 = 39.5
                                                               Then the 5 rounds the 39 up to 40.
                                                               So, 39.47 = 40 (to the nearest whole number)

               9  Work these out.
                  a  13.45 + 9.3      b  8 + 9.76 + 23.45     c  45.95 − 23.7     d  239.8 − 47.64
               10 Shona goes for a run four times a week.
                  During one week she runs 3.6 km, 4.85 km, 10.5 km and 7.45 km.
                   How far did Shona run in this week?
               11 Work these out.
                  a  2 × 0.2       b  0.9 × 4       c  8 × 3.8       d  6 × 4.17
               12 Sion sees this sign in a supermarket.
                 What is the cost of one jar of coffee?    3 jars of coffee for $13.89

               13 For each part of this question:
                  i  work out an estimate of the answer
                  ii  work out the correct answer
                  iii compare your estimate with the accurate answer to check your answer is correct.
                  a  36 + 68 + 212      b  322 × 19

               14 Andreas is training for a swimming competition.
                  The table shows the number of lengths of the
                  swimming pool that he swims during one week.
                 The swimming pool has a length of 25 m.                            Monday Wednesday       Friday
                 How far does Andreas swim this week?               No. of lengths    62         78         56
                 Use estimation to check your answer.
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