Cambridge CIE IGCSE Past Papers and solutions.

Questions and Worked Solutions for IGCSE Maths 2020 0580/22 May/June Paper 2.

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IGCSE 2020 0580/22 May/June (pdf)

- Write down the order of rotational symmetry of the diagram.
- At noon the temperature in Maseru was 21°C.

At midnight the temperature had fallen by 26°C.

Work out the temperature at midnight. - AB = BC and ABD is a straight line.

Find the value of x. - Write down

(a) a square number greater than 10,

(b) an irrational number. - y = mx + c

Find the value of y when m = -3, x = -2 and c = -8. - Calculate the area of the trapezium.
- On the Venn diagram, shade the region A ∩ B.
- Write 2
^{-4}as a decimal. - The bearing of B from A is 105°.

Find the bearing of A from B.

- Simplify.

p/2q × 4pq/t - Without using a calculator, work out 1 3/4 - 11/12.

You must show all your working and give your answer as a fraction in its simplest form. - Roberto buys a toy for $5.00.

He then sells it for $4.60.

Calculate his percentage loss. - Simplify 8t
^{8}÷ 4t^{4}. - Solve the equation.

(1-x)/3 = 5 - Ella’s height is 175cm, correct to the nearest 5cm.

Write down the upper bound of Ella’s height. - Calculate (3 × 10
^{-3})^{3}.

Give your answer in standard form. - A train of length 105m takes 11 seconds to pass completely through a station of length 225m.

Calculate the speed of the train in km/h. - Describe fully the single transformation that maps triangle T onto triangle U.
- Make y the subject of the formula.

h^{2}= x^{2}+ 2y^{2} - A, B, C and D lie on the circle, centre O.

TA is a tangent to the circle at A.

Angle ABC = 131° and angle ADB = 20°.

Find

(a) angle ADC,

(b) angle AOC,

(c) angle BAT,

(d) angle OAB. - Simplify.

(a) (5x^{4})^{3}

(b) (256 ×^{256})3/8 - p is directly proportional to (q + 2)
^{2}.

When q = 1, p = 1.

Find p when q = 10. - (a) By drawing suitable lines and shading unwanted regions, find the region, R, where
x ≥ 2, y ≥ x and 2x + y ≤ 8 .

(b) Find the largest value of x + y in the region R. - The diagram shows a sector of a circle of radius 8cm.

The length of the arc PQ is 6.4cm.

Find the area of the sector. - Simplify.
- Find the value of n.
- The diagram shows a cuboid.

AB = 8cm, AD = 6 cm and DH = 6 cm.

Calculate angle HAF.

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