IGCSE 2020 Maths 0580/22 May/June

IGCSE 2020 0580/22 May/June (pdf)

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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.

10. Simplify.
    p/2q × 4pq/t
11. 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.
12. Roberto buys a toy for $5.00.
    He then sells it for $4.60.
    Calculate his percentage loss.
13. Simplify 8t⁸ ÷ 4t⁴.
14. Solve the equation.
    (1-x)/3 = 5
15. Ella’s height is 175cm, correct to the nearest 5cm.
    Write down the upper bound of Ella’s height.
16. Calculate (3 × 10^-3)³.
    Give your answer in standard form.
17. 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.
18. Describe fully the single transformation that maps triangle T onto triangle U.
19. Make y the subject of the formula.
    h² = x² + 2y²
20. 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.
21. Simplify.
    (a) (5x⁴)³
    (b) (256 × ²⁵⁶)3/8
22. p is directly proportional to (q + 2)².
    When q = 1, p = 1.
    Find p when q = 10.
23. (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.
24. 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.
25. Simplify.
26. Find the value of n.
27. The diagram shows a cuboid.
    AB = 8cm, AD = 6 cm and DH = 6 cm.
    Calculate angle HAF.

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