Question 7 — IGCSE 0580 May/June 2024 Paper 32
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Numbers · Ratio and proportion. Worth 14 marks.
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Question text
7 The area of some land is in the ratio park : gardens : playground = 11 : 2 : 3�
The park has an area of 4620m2�
(a) Work out the area of the gardens and the area of the playground�
Gardens ������������������������������������������ m2
Playground ������������������������������������������ m2 [3]
(b) The park area of 4620m2 is made up of paths and grassland�
18% of the park area is paths�
(i) Show that the grassland area is 3788.4m2�
[1]
(ii) Seed for the grassland is sold in bags�
The seed in one bag covers an area of 280m2�
The bags cost $72 each for the first 5 bags and then $58 each for any extra bags�
Calculate the cost of the seed needed to cover the grassland�
$ ������������������������������������������������ [4]
© UCLES 2024 0580/32/M/J/24
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(c) The owners of the land buy new equipment for the playground�
They borrow $8500 for 4 years at a rate of 6�5% per year compound interest�
Calculate the amount they repay at the end of the 4 years�
Give your answer correct to the nearest dollar�
$ ������������������������������������������������ [3]
(d) The café in the park sells water in bottles A, B and C�
NOT TO
SCALE
Bottle A Bottle B Bottle C
330 ml 500 ml 750 ml
$1.98 $3.20 $5.10
Work out which bottle is the best value�
You must show all your working�
Bottle ������������������������������������������������ [3]
© UCLES 2024 0580/32/M/J/24 [Turn over
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