IGCSE Maths 2020 0580/43 Oct/Nov

IGCSE 2020 0580/43 Oct/Nov Questions (pdf)

IGCSE 2020 0580/43 Oct/Nov Mark Scheme (pdf)

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1. (a) The Earth has a surface area of approximately 510100000km².
   (i) Write this surface area in standard form.
   (ii) Water covers 70.8% of the Earth’s surface.
   Work out the area of the Earth’s surface covered by water.
   (b) The table shows the surface area of some countries and their estimated population in 2017.
   (i) Find the total surface area of Brunei and the Maldives.
   (ii) The ratio surface area of the Maldives : surface area of China
   can be written in the form 1 : n.
   Find the value of n.
   (iii) Find the surface area of France as a percentage of the surface area of China.
2. (a) On the grid, draw the image of
   (i) triangle A after a rotation of 90° anticlockwise about (0, 0)
   (ii) triangle A after a translation by the vector
   (b) Describe fully the single transformation that maps triangle A onto triangle B.
3. (a) The average speeds, in km/h, of cars travelling along a road are recorded.
   The box-and-whisker plot shows this information.
   Find
   (i) the lowest speed recorded,
   (ii) the median,
   (iii) the interquartile range.
   (b) Another car takes 18 seconds to travel 400m along this road.
   Calculate the average speed of this car in km/h.

4. Morgan picks two of these letters, at random, without replacement.
   (a) Find the probability that he picks
   (i) the letter Y first,
   (ii) the letter B then the letter Y,
   (iii) two letters that are the same.
   (b) Morgan now picks a third letter at random.
   Find the probability that
   (i) all three letters are the same,
   (ii) exactly two of the three letters are the same,
   (iii) all three letters are different.
5. (a) A, B, C and D are points on the circle, centre O.
   EF is a tangent to the circle at D.
   Angle ADE = 42° and angle COD = 162°.
   Find the following angles, giving reasons for each of your answers.
   (i) Angle x
   (ii) Angle y
   (iii) Angle z
   (b) PQR is a triangle.
   T is a point on PR and U is a point on PQ.
   RQ is parallel to TU.
   (i) Explain why triangle PQR is similar to triangle PUT.
   Give a reason for each statement you make.
6. ABCDEFGH is a cuboid.
   AB = 8 cm, BC = 5 cm and CG = 11cm.
   (a) Work out the volume of the cuboid.
   (b) Ivana has a pencil of length 13cm.
   Does this pencil fit completely inside the cuboid?
   Show how you decide.
   (c) (i) Calculate angle CAB.
   (ii) Calculate angle GAC.
7. (a) (i) Factorise 24 + 5x - x²
   (ii) The diagram shows a sketch of 24 + 5x - x²
8. Find
9. (a) Find the integer values that satisfy the inequality 2 < 2x ≤ 10.
   (b) Factorise completely.
10. Find

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