KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8
1         Fill in the missing numbers.
     2 a                              35 ÷ _____ = −7
     3 b                              1240 = _____
     4 c
     5 d                                         _______________
6 Draw a factor tree for the number 540. Write 540 as a product of its prime
  factors in index form.
     10
     11
     12
          13
          0 = ________________________________
14        Circle the equation of the lines that are parallel to the line y = 4x + 2.
     15 y = 2x + 4                                y = 4x − 7                                      y=
        10 − 4x
16 Without using a calculator, work out the following. Show your working.
          17                            a
          × 5.8 × 2.5
          ______________________________________________________________
          18
          _________________________________________________________________________
     b      6.8 × 9.9 _________________________________________________________________
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         _________________________________________________________________________
         20
         21
         22
         23
24   The diagram, which is not drawn accurately, shows the position of two
towns, J and K.
         25
         26                            a
                                       Write down the bearing of K from J.
         _________________________________________
         27                            b
                                       Work out the bearing of J from K.
         ___________________________________________
         28
         _________________________________________________________________________
         29
         _________________________________________________________________________
         30
         _________________________________________________________________________
31 A bag contains 5 red and 7 blue counters.
         32                                                  What fraction of the counters are red?
         Circle the correct answer.
         33
                                                             [1]
34        The angles in a triangle are in the ratio 2 : 3 : 7.
          Work out the size of the angles in the triangle.
         35                            ___________________________________________
         _________________________________
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KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8
         36                            ___________________________________________
         _________________________________
         37                            ___________________________________________
         _________________________________
         38                            ___________________________________________
         _________________________________
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KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8
39        The diagram shows points A and M on a coordinate grid.
         40                           a
                                      Write down the vector that translates point A to point M.
         41
         [1]
         42               b
         the midpoint of the line segment AB.
         43
         Work out the coordinates of point B.                                           B(___, ___)
         44
         _________________________________________________________________________
         45
         _________________________________________________________________________
46        A rectangle has a length of 3x cm and a width of x + 2 cm.
         47                           a
                                      Write an expression, using brackets, for the area of the
         rectangle.
         48
         _________________________________________________________________________
         49                           b
                                      Expand the brackets in your expression in part a.
         50
         _________________________________________________________________________
         51                           c
                                      When x = 7, work out the area of the rectangle.
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KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8
          52
          _________________________________________________________________________
          53
          _________________________________________________________________________
          54
          _________________________________________________________________________
55        Insert the correct symbol, < or >, between each pair of fractions.
     56 a                                                       b
                                      [2]
57 The probability of a coloured spinner landing on red is                                        .
     Work out the probability of the spinner not landing on red.
          58                            ___________________________________________
          _________________________________
          59                            ___________________________________________
          _________________________________
60 a           Complete the table of values for y = 3x − 5.
                 x             −1               0              1              2               3
                 y
     61
          62              b
          the coordinate grid, draw the graph of y = 3x − 5 for                                             .
          63
          64                c
          the line y = 3x − 5 is continued, would the point (12, 30) lie on the line?
          65                  Tick the correct box.                                                   Yes
          No
          66
                                      Show your working.
          67
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KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8
         _________________________________________________________________________
         68
         _________________________________________________________________________
         69
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KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8
70 These are the heights, in centimetres, of 24 sunflowers.
      11      13       12      10      13       11      12      11               12      11       10
      0       2        3       9       5        2       7       9        95      9       1        8
      12      10       13      11      11       12      10      13       12      11      13       11
      2       0        0       2       8        5       2       7        9       6       9        2
         71                           a
                                      Draw an ordered stem-and-leaf diagram to show this
         data.
         72
         73
         74
         75
         76
         77
         78                           b
                                      Use the stem-and-leaf diagram to work out:
         79
         the mode ____________________________________
         80
         the median ____________________________________
         81
         the range of the data. ____________________________________
82        Circle the fractions in this list that are equal to recurring decimals.
         83
84        a A sequence has the rule nth term = 2.5n − 6.
         85
                                      Work out the 8th term in the sequence.
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KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8
         86
         _________________________________________________________________________
         87
         _________________________________________________________________________
         88                           b
                                      Work out the nth term rule for the sequence 5, 8, 11,
         14, . . .
         89
         _________________________________________________________________________
         90
         _________________________________________________________________________
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KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8
91        The diagram shows shapes C and D.
         92
         93                            D is an enlargement of C.
         94                            a
                                       What is the scale factor of the enlargement?
         95
                                       Scale factor ______________
         96                            b
                                       What are the coordinates of the centre of enlargement?
         ( ____, ____ )
         97              c
                         What are the coordinates of the invariant point on the
         enlargement? ( ____, ____ )
98    Two fair dice are rolled and the numbers on the dice are added to give
the score.
     99 a                Complete the sample space diagram to show all the
        possible scores.
              +         1          2         3          4         5          6
              1         2          3         4          5
              2         3          4
              3         4
              6
     100
         101                           b
                                       What is the probability of getting a score of 5?
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KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8
         102
                          Write your answer as a fraction in its simplest form.
         _____________________________
         103
104       Circle the correct calculation that shows how to decrease $160 by 15%.
         105                          160 × 0.15                                160 × −0.15       160
         × 0.85                          160 × 1.15
106       Solve the equation                               .
         107                           ___________________________________________
         _________________________________
         108              ________________________________________________________
         ____________________
         109              ________________________________________________________
         ____________________
         110              ________________________________________________________
         ____________________
         111              ________________________________________________________
         ____________________
112       The diagram shows a sketch of a triangle.
     In the space below, make an accurate drawing of this triangle.
     113
     114
     115
     116
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KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8
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     118
     119
     120
         121
                                                                                                  122
123
   124
                                                          END OF EXAM
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