Question 3 — IGCSE 0580 Oct/Nov 2023 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Numbers · Fractions, decimals and percentages. Worth 15 marks.
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Question text
3 (a) Aneel has 80 tea bags, 1 kg of sugar and 1 litre of milk.
2
To make a cup of tea he uses:
• 1 tea bag
• 8 grams of sugar
• 40 millilitres of milk.
(i) In the morning, Aneel makes 15 cups of tea.
Work out
(a) the fraction of the tea bags he uses, in its simplest form
................................................. [2]
(b) the mass of sugar, in grams, he has left.
............................................... g [2]
(ii) During the day, Aneel uses all of the milk to make cups of tea.
Work out the total number of cups of tea Aneel makes.
................................................. [1]
(b) Bobby, Carl and Davood share $6875 in the ratio Bobby : Carl : Davood = 6 : 8 : 11.
Calculate the amount of money they each receive.
Bobby $ .................................................
Carl $ .................................................
Davood $ ................................................. [3]
© UCLES 2023 0580/33/O/N/23
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32 #34
(c) (i) Write as a power of 3.
36
................................................. [1]
(ii) Write the value of 2
-4
as a decimal.
................................................. [1]
(d) Simplify.
(i) (b5)3
................................................. [1]
4
-2
(ii)
bml
................................................. [1]
(e) 30 = 2#3#5 84 = 22 #3#7
Use this information to find the lowest common multiple (LCM) of 30 and 84.
................................................. [2]
2 5
(f) 7 16 23
9 4
Put a ring around the irrational number in this list. [1]
© UCLES 2023 0580/33/O/N/23 [Turn over
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