Home / iGCSE Mathematics (0580) – C1.11 Ratio and proportion- Exam Style Questions Paper 3

iGCSE Mathematics (0580) - C1.11 Ratio and proportion- Exam Style Questions Paper 3- New Syllabus

Question

Anna and Bruno share some money in the ratio Anna : Bruno = $3:7$.
Bruno receives $\$36$ more than Anna.

Calculate the total amount of money they share.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C1.11 Ratio and proportion
▶️ Answer/Explanation

The difference in their ratio parts is $7 – 3 = 4$ parts.
We know these 4 parts equal $\$36$.
$1 \text{ part} = \frac{36}{4} = \$9$
The total number of parts is $3 + 7 = 10$ parts.
Total money = $10 \times 9 = \$90$
✅ Answer: $\$90$

Question

Tom needs $225 \text{ g}$ of flour to make $10$ cakes.
A shop sells flour in $500 \text{ g}$ bags.

Work out the number of bags of flour Tom needs to make $70$ cakes.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C1.11 Ratio and proportion
▶️ Answer/Explanation
First, figure out the total amount of flour Tom needs by scaling up the recipe for $70$ cakes:
$225 \text{ g} \times (70 / 10) = 1575 \text{ g}$ of flour.
Next, determine how many $500 \text{ g}$ bags are required to get this amount:
$1575 \text{ g} / 500 \text{ g per bag} = 3.15$ bags.
Since Tom cannot buy a fraction of a bag, he must round up to the next whole number.
✅ Answer: $4$
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