# IGCSE 2020 Maths 0580/22 Feb/Mar

Cambridge CIE IGCSE Past Papers and solutions.
Questions and Worked Solutions for IGCSE 2020 0580/22 Feb/Mar Paper 2.

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IGCSE 2020 0580/22 Feb/Mar (pdf)

1. From the list, write down a number that is
(a) a multiple of 3,
(b) a cube number,
(c) a prime number,
(d) an irrational number.
2. The number of people swimming in a pool is recorded each day for 12 days.
24 28 13 38 15 26
45 21 48 36 18 38
(a) Complete the stem-and-leaf diagram.
(b) Find the median number of swimmers.
3. Point A has coordinates (6, 4) and point B has coordinates (2, 7).
Write AB as a column vector.
4. Find the interior angle of a regular polygon with 24 sides.
5. Without using a calculator, work out 15/28 %divide; 4/7
You must show all your working and give your answer as a fraction in its simplest form.
6. The table shows the marks scored by 40 students in a test.
Calculate the mean mark.
7. The diagram shows a right-angled triangle.
(a) Calculate the area.
(b) Calculate the perimeter.
8. Calculate the value of (2.3 × 10-3) + (6.8 × 10-4.
9. (a) Factorise completely.
3x2 - 12xy
(b) Expand and simplify.
(m - 3)(m + 2)

1. Sketch the graph of each function.
(a) y = x - 3
(b) y = 1/x
2. Describe fully the single transformation that maps
(a) shape A onto shape B,
(b) shape A onto shape C,
(c) shape A onto shape D.
3. The population of a town decreases exponentially at a rate of 1.7% per year.
The population now is 250000.
Calculate the population at the end of 5 years.
4. Write the recurring decimal 0.26
You must show all your working.
5. The box-and-whisker plot gives information about the heights, in centimetres, of some plants.
(a) Write down the median.
(b) Find
(i) the range,
(ii) the interquartile range.
6. A, B, C and D lie on the circle.
PCQ is a tangent to the circle at C.
Angle ACQ = 64°.
7. Solve the simultaneous equations.
You must show all your working.
x = 7 - 3y
x2 - y2 = 39
8. A is the point (3, 5) and B is the point (1, -7).
Find the equation of the line perpendicular to AB that passes through the point A.
9. A car travels at a constant speed.
It travels a distance of 146.2m, correct to 1 decimal place.
This takes 7 seconds, correct to the nearest second.
Calculate the upper bound for the speed of the car.
10. (a) On the diagram, sketch the graph of y = cos x for 0° < x < 360°.
(b) Solve the equation 4 cos x + 2 = 3 for 0° < x < 360°.
11. x2 - 12x + a = (x + b)2
Find the value of a and the value of b.
12. XY = 3a + 2b and ZY = 6a + 4b
Write down two statements about the relationship between the points X, Y and Z.

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