Question 7 — IGCSE 0580 Oct/Nov 2023 Paper 32
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Numbers · Ratio and proportion. Worth 16 marks.
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Question text
7 Elize, Lily and Marco start a business.
(a) Elize invests $5000.
Lily invests $8000.
Marcoinvests$3000.
After one year they make a profit of $40 000.
They share this profit in the ratio of their investments.
Work out how much they each receive.
Elize $ ................................................
Lily $ ................................................
Marco $ ................................................[3]
(b) (i) Lily buys 20 rolls of ribbon.
8arered,6areblue,4areyellowand2arepink.
A roll of ribbon is chosen at random.
On the probability scale, draw an arrow ( ) to show the probability that this roll is
(a) yellow
0 0.5 1
[1]
(b) not red
0 0.5 1
[1]
(c) green.
0 0.5 1
[1]
(ii) The length, l m, of a roll of ribbon is 120 m, correct to the nearest metre.
Complete this statement about the value of l.
................... G l 1 ................... [2]
© UCLES 2023 0580/32/O/N/23
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(c) Elize buys some picture frames.
The frames cost $5.80 each in New York and 4.50 euros each in Paris.
Theexchangerateis1euro=$1.37.
Calculate the difference in the cost in euros.
Give your answer correct to 2 decimal places.
........................................euros[3]
(d) Elize buys a framed picture.
(i)
18 cm
NOT TO
SCALE
18 cm
The picture is a circle with diameter 18 cm.
The frame is a square of side length 18 cm.
Calculate the shaded area.
......................................... cm2[3]
(ii) Elize buys the framed picture for $12.50 .
She sells the framed picture for $20.25 .
Calculate the percentage profit.
............................................. % [2]
© UCLES 2023 0580/32/O/N/23 [Turn over
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