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Topical Worksheets for Cambridge IGCSE™
Mathematics (0580/0980)
Practice paper (40 marks)
1st edition, for examination until 2025
1
1 Line L passes through the points (0, −3) and (6, 9).
(a) Find the equation of line L.
................................................... [3]
(b) Find the equation of the line that is perpendicular to line L and passes through the point (0, 2).
................................................... [2]
[Total: 5]
2 A is the point (7, 12) and B is the point (2, −1).
Find the length of AB.
................................................... [3]
[Total: 3]
3 A straight line joins the points A (−2, -3) and C (1, 9).
2
(a) Find the equation of the line AC in the form y = mx + c.
y = ................................................... [3]
(b) Calculate the acute angle between AC and the x-axis.
................................................... [2]
(c) ABCD is a kite, where AC is the longer diagonal of the kite.
B is the point (3.5, 2).
(i) Find the equation of the line BD in the form y = mx + c.
y = ................................................... [3]
(ii) The diagonals AC and BD intersect at (−0.5, 3).
Work out the co-ordinates of D.
( .............................. , .............................. ) [2]
[Total: 10]
3
4 The scale of a map is 1 : 10 000 000.
On the map, the area of Slovakia is 4.9 cm2.
Calculate the actual area of Slovakia.
Give your answer in square kilometres.
................................................... km2 [3]
[Total: 3]
5 A model of a car has a scale 1 : 20.
The volume of the actual car is 12 m3.
Find the volume of the model.
Give your answer in cubic centimetres.
................................................... cm3 [3]
[Total: 3]
4
The diagram shows two mathematically similar shapes with areas 295 cm2 and 159.5 cm2.
The width of the larger shape is 17 cm.
Calculate the width of the smaller shape.
................................................... cm [3]
[Total: 3]
5
A car travels at 20 m/s for 15 seconds before it comes to rest by decelerating at 2.5 m/s2.
Find the total distance travelled.
................................................... m [5]
[Total: 5]
Rearrange the formula to write r in terms of P and .
r = ................................................... [2]
[Total: 2]
6
(a) Find .
................................................... [2]
(b) Find .
................................................... [2]
[Total: 4]
10
Find in its simplest form.
................................................... [2]
[Total: 2]
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which is in the worksheets are also provided by UCLES, compiled from past-year question papers.
© r/IGCSE Resources 2023, worksheets provided by Pt
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