Mathematics IGCSE Foundation Tier 2011 4MA0 ... - Chatterton Tuition

Mathematics IGCSE Foundation Tier 2011 4MA0 Taster Pages

Question 12 (June 2011 - 4MA0/1F) a) multiply number of kilometres by 3 9 x 3 = 27 Add 7 to the result 27 + 7 = 34 Divide by 2 34 ÷ 2 = 17 17 dirhams b) now we need to work backwards and do the opposite of each step but also in the opposite order multiply by 2 26 x 2 = 52 Subtract 7 52 – 7 = 45 Divide by 3 45 ÷ 3 = 15 15 kilometres c) C = ((3 x d) + 7) ÷ 2 We can tidy this up as C = (3d + 7) ÷ 2 C=

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Question 13 (June 2011 - 4MA0/1F) If we know the area and the length then we can work out the width Length x width = area Let width be w 8 x w = 52 Divide both sides by 8 w = 6.5 cm Now we can work out the perimeter (length all the way around) 8 + 6.5 + 8 + 6.5 = 29 cm


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Question 14 (June 2011 - 4MA0/2F) Open a compass up to more than half the length of the line PQ. Put the point of the compass on P and draw an arc above and below the line. Repeat this with the compass point on Q. Now join up with a straight line the two points where these arcs meet. This is the perpendicular bisector of PQ.


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Mathematics IGCSE Foundation Tier 2011 4MA0 Taster Pages Question 18 (June 2011 - 4MA0/2F) We can do this by working out some coordinates and then plotting them a) x y

-3 -7

-2 -5

-1 -3

0 -1

1 1

2 3

3 5

(2 x -3) - 1 = -6 - 1 = -7 (2 x -2) - 1 = -4 - 1 = -5 (2 x -1) - 1 = -2 - 1 = -3 (2 x -0) - 1 = 0 - 1 = -1 (2 x 1) - 1 = 2 - 1 = 1 (2 x 2) - 1 = 4 - 1 = 3 (2 x 3) - 1 = 6 - 1 = 5

b)


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Mathematics IGCSE Foundation Tier 2011 4MA0 Taster Pages Question 19 (June 2011 - 4MA0/1F) a) the four transformations are enlargement, rotation, reflection and vector translation can’t be enlargement as exactly the same size can’t be reflection as no obvious mirror line can’t be vector translation as the triangle is not facing the same way (it has a different orientation) it must be rotation Rotation of 90⁰ clockwise about centre (0,0) You can check this by placing tracing paper over the diagram. Trace triangle P and hold the point of your pencil on the origin (0,0) and turn the tracing paper a quarter turn clockwise. Triangle P should now be where triangle Q is. b) the red dashed line is the line y = x

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