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REVISION SHEET 8

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<strong>REVISION</strong> <strong>SHEET</strong> 8<br />

CALCULATOR ALLOWED<br />

1. a) Calculate 47% of £56.<br />

b) The total cost of 8 loaves and 9 cakes is £12.88.<br />

One loaf costs 62 pence. Find the cost of one cake.<br />

c) What percentage of £360 is £108 ?<br />

d) What percentage of £360 is £48 ?<br />

2. The diagram shows a square with three of its vertices on the sides of an equilateral<br />

triangle ABC. Find the angles marked a and b.<br />

B<br />

b<br />

a<br />

A<br />

45 o<br />

C<br />

3. Write down the size of the angles marked x, y in each of the following diagrams.<br />

100 o 110 o x<br />

95 o<br />

106 40 65 y<br />

4. Draw patterns like the given one in each of the other 3 sections so that the completed<br />

pattern has rotational symmetry of order 4 about O.<br />

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5. The favourite colours of each of 60 students was noted. The results were as follows.<br />

Colour<br />

Number of students<br />

Red 20<br />

Blue 12<br />

Yellow 18<br />

Green 10<br />

Draw a pie chart to illustrate these results.<br />

You should show how you calculate the angles of your pie chart.<br />

NORTH<br />

A<br />

B<br />

C<br />

6. In the above diagram, A, B and C represent the position of 4 towns on a grid. Find the<br />

following bearings.<br />

a) B from A b) C from A c) A from B d) C from B.<br />

7. Another town, D, is due East of C and on a bearing of 160 o N from A. Plot, as<br />

accurately as you can, the position of this town.<br />

8. Solve the following equations.<br />

a) 5x 11 = 34 b) 6(x 5) = 33<br />

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ANSWERS.<br />

1. a) £26.32 b) One cake = 88 pence c) 30%<br />

d) 13.333…%<br />

2. a = 90 o , b = 75 o .<br />

3. x = 129 o , y = 75 o .<br />

5. Red = 120 o , Blue = 72 o , Yellow = 108 o , Green = 60 o .<br />

8. a) x = 9 b) x = 10.5.<br />

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