Cambridge CIE IGCSE Past Papers and solutions.

Questions and Worked Solutions for IGCSE 2021 0580/21 May/June.

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IGCSE 2021 0580/21 May/June (pdf)

- (a) Write down the order of rotational symmetry of this diagram.

(b) On the diagram, draw all the lines of symmetry. - The probability that a train is late is 0.15 .

Write down the probability that the train is not late. - The stem-and-leaf diagram shows the number of hours that each of 16 students studied last week.

Find

(a) the median,

(b) the mode,

(c) the range - The diagram shows two parallel lines intersected by two straight lines.

Find the values of a, b and c. - Work out.
- (a) The nth term of a sequence is n
^{2}+ 3n.

Find the first three terms of this sequence.

(b) These are the first five terms of a different sequence.

25 18 11 4 -3

Find the nth term of this sequence. - Solve the simultaneous equations.

You must show all your working.

2x + y = 3

x - 5y = 40 - Without using a calculator, work out
- A is the point (5, -5) and B is the point (9, 3).

(a) Find the coordinates of the midpoint of AB.

(b) Find the length of AB.

- (a) Describe fully the single transformation that maps

(i) triangle A onto triangle B,

(ii) triangle A onto triangle C. - (a) Simplify fully
- The profit a company makes decreases exponentially at a rate of 0.9% per year.

In 2014, the profit was $9500.

Calculate the profit in 2019. - On a map, a lake has an area of 32 cm
^{2}.

The scale of the map is 1 : 24000.

Calculate the actual area of the lake.

Give your answer in km^{2}. - (y is directly proportional to the square root of (x - 3).

When x = 28, y = 20.

Find y when x = 39. - Make h the subject of the formula 2 mh = g(1 - h).
- (a) Find the gradient of line l.

(b) Find the equation of line l in the form y = mx + c.

(c) Find the equation of the line that is perpendicular to line l and passes through the point (12, -7).

Give your answer in the form y = mx + c. - A bag contains 3 blue buttons, 8 white buttons and 5 red buttons.

Two buttons are picked at random from the bag, without replacement.

Work out the probability that the two buttons are either both red or both white. - S is a point on PQ such that PS : SQ = 4 : 5.
- (a) Sketch the graph of y x = tan x for 0° ≤ x ≤ 360°.

(b) Solve the equation 5 tan x = 1 for 0° ≤ x ≤ 360°. - The distance between two towns is 600 km, correct to the nearest 10km.

A car takes 8 hours 40 minutes, correct to the nearest 10 minutes, to travel this distance.

Calculate the lower bound for the average speed of the car in km/h.

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