Question 4 — IGCSE 0580 Oct/Nov 2023 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Statistics · Statistical graphs. Worth 13 marks.
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Question text
4 (a) A company makes glass using silica, soda, lime and magnesia.
The table gives information about the proportions used.
Percentage of total mass Pie chart sector angle
Silica 75 270°
Soda 15
Lime and magnesia 10
(i) Complete the table.
[2]
(ii) Complete the pie chart to show this information.
270°
Silica
[1]
(iii) The masses of lime and magnesia used are in the ratio lime : magnesia = 3 : 2.
Find the percentage of the total mass of glass that is magnesia.
..............................................% [1]
(iv) The company uses 8.25 kg of soda to make some glass.
Work out how many kilograms of silica they use.
............................................. kg [2]
© UCLES 2023 0580/33/O/N/23
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(b) The company uses the formula M = 2.5#A#T to find the mass of a sheet of glass.
M is the mass in kilograms.
A is the area in square metres.
T is the thickness in millimetres.
Use the formula to calculate the mass of a rectangular sheet of glass that is 1.9 m long, 0.6 m wide
and 8 mm thick.
............................................. kg [2]
(c) In one year, 130 000 000 tonnes of glass were produced worldwide.
Write this number in standard form.
................................................. [1]
(d) The company sets targets to recycle its waste materials.
The bar chart shows the target rate and the actual rate for some of its recycling.
Key:
Metal Target rate
Actual rate
Paper &
cardboard
Glass
Plastic
Wood
0 10 20 30 40 50 60 70 80 90 100
Percentage recycling rate
(i) The target rate for recycling glass was 55%.
The actual rate for recycling glass was 70%.
Complete the bar chart. [2]
(ii) Which materials did the company recycle at more than double their target rate?
...................................................................................... [2]
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