IGCSE Maths 2020 0580/12 May/June

IGCSE 2020 0580/12 May/June (pdf)

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1. (a) Write in figures the number fifty‐three thousand and thirty-five.
   (b) Write 8379 correct to the nearest hundred.
2. (a) Write down the mathematical name for this type of angle.
   (b) A and B lie on a circle, centre O.
   (i) Write down the mathematical name for line AB.
   (ii) OA = 8cm
   Write down the length of the diameter of this circle.
3. Write down the reciprocal of 10.
4. (a) Find the value of √196.
   (b) Calculate 15³
5. Put one pair of brackets in each statement to make it correct.
   (a) 16 ÷ 8 + 4 × 2 = 1
   (b) 16 ÷ 8 + 4 × 2 = 12
6. The 840 students in a school are asked if they want a change of school uniform.
   The results are shown in the pie chart.
   Show that the number of students who said Yes is 266.

7. Change 5.3 kilometres into metres.
8. The scale drawing shows the positions of town A and town B.
   The scale is 1cm represents 12 kilometres.
   (a) Find the actual distance between town A and town B.
   (b) Town C is 72km from town A and 96km from town B.
   On the scale drawing, construct the position of town C.
9. Write down the order of rotational symmetry of the diagram.
10. The bearing of B from A is 105°.
    Find the bearing of A from B.
11. Write down
    (a) a square number greater than 10,
    (b) an irrational number.
12. Points A, B and C are shown on the grid.
    (a) Write down the coordinates of point C.
    (b) On the grid, plot point D so that ABCD is a parallelogram.
    (c) On the grid, plot point E so that EA
13. The height, h metres, of a tower is 76.3m, correct to 1 decimal place.
    Complete this statement about the value of h.
14. Rovers, United and City are football teams.
    Rovers scored x goals.
    United scored 8 goals more than Rovers.
    City scored 3 goals less than twice the number of goals scored by Rovers.
    The three teams scored a total of 117 goals.
    Write down and solve an equation to find the value of x.
15. Calculate the area of the trapezium.
16. (a) On the Venn diagram, shade the region A ∩ B.
    (b) E = {1, 2, 3, 4, 5, 6}
    P = {x : x is an even number}
    Q = {x : x is a prime number}
    Complete the Venn diagram.
17. Write 2^-4 as a decimal.
18. 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.
19. Roberto buys a toy for $5.00 .
    He then sells it for $4.60 .
    Calculate his percentage loss.
20. Simplify 8t⁸ ÷ 4t⁴
21. (a) Write 45000 in standard form.
    (b) Write 2.06 × 10^-2 as an ordinary number.
22. (a) Write down all the factors of 28.
    (b) Write 54 as a product of its prime factors.
    (c) Find the lowest common multiple (LCM) of 48 and 60.
23. (a) Find the gradient of line L.
    (b) Write down the equation of line L in the form y = mx + c.

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