Question 5 — IGCSE 0580 Oct/Nov 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Numbers · The four rules. Worth 9 marks.
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Question text
5 (a) In a shop the cost of a fiction book is $x and the cost of a reference book is $(x+2).
The cost of 11 fiction books is the same as the cost of 10 reference books.
Find the value of x.
x = ................................................. [2]
(b) In another shop, the cost of a fiction book is $y and the cost of a reference book is $(y+2).
Maria spends $95 on fiction books and $147 on reference books.
She buys a total of 12 books.
(i) Show that 6y2-109y-95 = 0 .
[4]
(ii) Factorise 6y2-109y-95 .
................................................. [2]
(iii) Find the value of y.
y = ................................................ [1]
© UCLES 2023 0580/42/O/N/23
9
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