Question 10 — IGCSE 0580 Oct/Nov 2023 Paper 43
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Algebra · Basic algebra. Worth 14 marks.
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Question text
10 (a) Expand and simplify.
4(2x-1)-6(3-x)
................................................. [2]
(b) Factorise completely.
(i) 6x2y+9xy
................................................. [2]
(ii) 4x2-y2+8x+4y
................................................. [3]
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(c) Antonio travels 100 km at an average speed of x km/h.
He then travels a further 150 km at an average speed of (x+10) km/h.
The time taken for the whole journey is 4 hours 20 minutes.
(i) Show that 13x2-620x-3000 = 0.
[4]
(ii) Solve 13x2-620x-3000 = 0 to find the speed Antonio travels for the first 100 km of the
journey.
You must show all your working and give your answer correct to 1 decimal place.
........................................ km/h [3]
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