Question 1 — IGCSE 0580 May/June 2023 Paper 41
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Statistics · Averages (discrete data). Worth 13 marks.
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Question text
1 (a) An orchard has 1250 trees.
The trees are in the ratio apple : pear : cherry = 12 : 9 : 4.
(i) Calculate the number of apple trees.
................................................. [2]
(ii) Last year in the orchard, the mean mass of fruit produced was 64 kg per tree.
Calculate the total mass of fruit produced last year.
Give your answer in tonnes.
[1 tonne = 1000 kg]
...................................... tonnes [2]
(iii) Last year, the mean mass of pears produced was 54 kg per tree.
This was a decrease of 10% on the mean mass of pears produced per tree from the year before.
Calculate the mean mass of pears produced by each pear tree the year before.
............................................ kg [2]
1
(iv) The orchard loses of its total number of trees in a storm.
5
Calculate the number of trees that remain.
................................................. [2]
© UCLES 2023 0580/41/M/J/23
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(b) Paulo buys some pears from a market.
Pears cost $0.54 each or 0.51 euros each.
(i) Paulo pays in dollars for 12 pears.
Calculate the change he receives from $10.
$ ................................................ [2]
(ii) The exchange rate is $1 = 0.826 euros.
Calculate how much more Paulo pays for each pear when he pays in euros.
Give your answer in dollars, correct to the nearest cent.
$ ................................................ [3]
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