IGCSE Maths 2020 0580/01 Specimen Paper

IGCSE 2020 0580/01 Specimen Paper (pdf)

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1. Write seventeen thousand and seventeen in figures.
   
2. Find the number of minutes from 1758 to 7.13 pm.
   
3. The number of cars parked in a car park at 9am is recorded for 10 days.
   124 130 129 116 132 120 127 107 118 114
   Complete the stem-and-leaf diagram.
   
4. (a) Write 6789 correct to the nearest 100.
   (b) Write 6789 correct to 3 significant figures.
5. A cuboid measures 6cm by 3cm by 2 cm.
   On this 1cm² grid, draw a net of the cuboid.
6. (a) Write down the order of rotational symmetry of the shape.
   (b) Draw all the lines of symmetry on the shape.
7. (a) Write down a fraction which is equivalent to 3/5
   (b) Write down the reciprocal of 7.
8. A cube has a volume of 1000cm³.
   Calculate the surface area of the cube.

9. Dan either walks or cycles to school.
   The probability that he cycles to school is 1/5
   (a) Write down the probability that Dan walks to school.
   (b) There are 200 days in a school year.
   Work out the expected number of days that Dan cycles to school in a school year.
10. Using a ruler and pair of compasses only, construct a triangle with sides 5cm, 8cm and 10 cm.
    Leave in your construction arcs.
11. Here is a list of numbers.
    Put a ring around the number with the largest value.
12. Complete these statements.
    (a) 6m is the same length as …………..mm.
    (b) 7000 cm² is the same area as …………..m²
13. ABCDE is a pentagon.
    Explain why the diagram shows that the sum of the interior angles of a pentagon is 540°.
    Do not measure any angles.
14. Simplify x³y⁴ × x⁵y³
15. Write 2020 in standard form.
16. Kim knows that one angle of an isosceles triangle is 48°.
    He says that one of the other angles must be 66°.
    Explain why Kim is wrong.
17. Explain why √3 is irrational.
18. The mass, m kilograms, of a horse is 429kg, correct to the nearest kilogram.
    Complete this statement about the value of m.
19. Rearrange the formula 5w – 3y + 7 = 0 to make w the subject.
20. Use set notation to describe the shaded regions in each Venn diagram.
21. The radius of a sphere is 5.2cm.
    Work out the surface area of this sphere.
    (The surface area, A, of a sphere with radius r is A = 4πr².)
22. Triangle ABC is similar to triangle PQR.
23. E = {children who go to the park}
    T = {children who play tennis}
    G = {children who play golf}
    120 children go to the park.
    50 play tennis.
    75 play golf.
    25 do not play tennis or golf.
    (a) Complete the Venn diagram.
    (b) Find n(T ∩ G).
24. (a) Factorise completely 18x – 24.
    (b) Simplify (w⁵)⁴
25. Without using your calculator, work out 1 7/12 + 13/20
    You must show all your working and give your answer as a mixed number in its simplest form.
26. By rounding each number correct to 1 significant figure, estimate the value of
    You must show all your working.
27. (a) The nth term of a sequence is n³ - 5
    Write down the first three terms of this sequence.
    (b) Here is a sequence of numbers.
    3, 6, 11, 18, 27, …
    Find an expression for the nth term of this sequence.
28. OAB is a sector of a circle with radius 9cm and centre O.
    The angle at O is 30°.
    Calculate the area of this sector.
    Give your answer in terms of π.

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