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)

- 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. - 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. - Point A has coordinates (6, 4) and point B has coordinates (2, 7).

Write AB as a column vector. - Find the interior angle of a regular polygon with 24 sides.
- 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. - The table shows the marks scored by 40 students in a test.

Calculate the mean mark. - The diagram shows a right-angled triangle.

(a) Calculate the area.

(b) Calculate the perimeter. - Calculate the value of (2.3 × 10
^{-3}) + (6.8 × 10^{-4}.

Give your answer in standard form. - (a) Factorise completely.

3x^{2}- 12xy

(b) Expand and simplify.

(m - 3)(m + 2)

- Sketch the graph of each function.

(a) y = x - 3

(b) y = 1/x - 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. - 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.

Give your answer correct to the nearest hundred. - Write the recurring decimal 0.26

You must show all your working. - 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. - A, B, C and D lie on the circle.

PCQ is a tangent to the circle at C.

Angle ACQ = 64°.

Work out angle ABC, giving reasons for your answer. - Solve the simultaneous equations.

You must show all your working.

x = 7 - 3y

x^{2}- y^{2}= 39 - 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.

Give your answer in the form y = mx + c. - 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. - (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°. - x
^{2}- 12x + a = (x + b)^{2}

Find the value of a and the value of b. - 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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