# IGCSE 2020 Maths 0580/22 May/June

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)

1. Write down the order of rotational symmetry of the diagram.
2. At noon the temperature in Maseru was 21°C.
At midnight the temperature had fallen by 26°C.
Work out the temperature at midnight.
3. AB = BC and ABD is a straight line.
Find the value of x.
4. Write down
(a) a square number greater than 10,
(b) an irrational number.
5. y = mx + c
Find the value of y when m = -3, x = -2 and c = -8.
6. Calculate the area of the trapezium.
7. On the Venn diagram, shade the region A ∩ B.
8. Write 2-4 as a decimal.
9. The bearing of B from A is 105°.
Find the bearing of A from B.

1. Simplify.
p/2q × 4pq/t
2. 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.
3. Roberto buys a toy for \$5.00.
He then sells it for \$4.60.
Calculate his percentage loss.
4. Simplify 8t8 ÷ 4t4.
5. Solve the equation.
(1-x)/3 = 5
6. Ella’s height is 175cm, correct to the nearest 5cm.
Write down the upper bound of Ella’s height.
7. Calculate (3 × 10-3)3.
8. 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.
9. Describe fully the single transformation that maps triangle T onto triangle U.
10. Make y the subject of the formula.
h2 = x2 + 2y2
11. 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
(b) angle AOC,
(c) angle BAT,
(d) angle OAB.
12. Simplify.
(a) (5x4)3
(b) (256 × 256)3/8
13. p is directly proportional to (q + 2)2.
When q = 1, p = 1.
Find p when q = 10.
14. (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.
15. 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.
16. Simplify.
17. Find the value of n.
18. The diagram shows a cuboid.
AB = 8cm, AD = 6 cm and DH = 6 cm.
Calculate angle HAF.

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