IGCSE Mathematics 0580/22 Paper 2 (Extended) Oct/Nov 2020
*6220165587*
Cambridge IGCSETM
MATHEMATICS Paper 2 (Extended)
You must answer on the question paper. You will need: Geometrical instruments
0580/22 October/November 2020
1 hour 30 minutes
INSTRUCTIONS Answer all questions. Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. Write your name, centre number and candidate number in the boxes at the top of the page. Write your answer to each question in the space provided. Do not use an erasable pen or correction fluid. Do not write on any bar codes. You should use a calculator where appropriate. You may use tracing paper. You must show all necessary working clearly. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in
degrees, unless a different level of accuracy is specified in the question. For r, use either your calculator value or 3.142.
INFORMATION The total mark for this paper is 70. The number of marks for each question or part question is shown in brackets [ ].
This document has 12 pages. Blank pages are indicated.
DC (RW/CGW) 189268/2 ? UCLES 2020
[Turn over
2 1 Write two hundred thousand and seventeen in figures.
................................................. [1]
2 Insert one pair of brackets to make this calculation correct.
7 - 5 - 3 + 4 = 9
[1]
3 Solve the equation.
6 - 2x = 3x
x = ................................................. [2]
4
x? y?
NOT TO SCALE
140?
120?
The diagram shows a triangle drawn between a pair of parallel lines. Find the value of x and the value of y.
5 Increase 42 by 16%.
x = ................................................. y = ................................................. [3]
................................................. [2]
? UCLES 2020
0580/22/O/N/20
6 Factorise completely. 4 - 8x
7
3
C h cm
................................................. [1]
NOT TO SCALE
A
6 cm B
The area of triangle ABC is 27 cm2 and AB = 6 cm.
Calculate the value of h.
h = ................................................. [2] 8 Calculate the size of one interior angle of a regular polygon with 40 sides.
? UCLES 2020
................................................. [2]
0580/22/O/N/20
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4
9 Solve the simultaneous equations. 2x + y = 7 3x - y = 8
x = ................................................. y = ................................................. [2]
10
Without using a calculator, work out
5 6
'
1
1 3
.
You must show all your working and give your answer as a fraction in its simplest form.
11 Simplify. 2x2 # 5x5
................................................. [3] ................................................. [2]
? UCLES 2020
0580/22/O/N/20
5
12 Alex and Chris share sweets in the ratio Alex : Chris = 7 : 3. Alex receives 20 more sweets than Chris.
Work out the number of sweets Chris receives.
13 The length of one side of a rectangle is 12 cm. The length of the diagonal of the rectangle is 13 cm.
Calculate the area of the rectangle.
................................................. [2]
14 Work out (3 # 10199) + (2 # 10201). Give your answer in standard form.
.......................................... cm2 [3]
? UCLES 2020
................................................. [2]
0580/22/O/N/20
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