Percentages: Eduqas GCSE Foundation November 2024 Paper 2 Q9

Foundation November 2024 Paper 2 Q9

EduqasFoundationCurrent spec6 marksPercentages Pie Charts

9. The pie chart below shows information about how Sadia spends her monthly income.

Sadia spends £540 a month on bills and expenses.

(a) What is her monthly income? [2]

(b) How much does Sadia spend on her rent each month? [2]

(c)

Pietro saves 15% of his monthly income.

He says,

I save a bigger proportion of my monthly
income than Sadia.

Give calculations to show Pietro is correct. [2]

Mark scheme (a)

Scheme	Marks	Comments
540 × 4 or 540 ÷ 90 × 360 oe	M1	Candidates may work out the amount of money for each sector and sum them. This is awarded the mark provided the whole method is correct. e.g. 540 + 270 + 270 + 360 + 720 1° = £6 with 90 × 6 + 45 × 6 + 45 × 6 + 60 × 6 + 120 × 6
= (£) 2160	A1

Mark scheme (b)

Scheme	Marks	Comments
\(\dfrac{120}{360}\) × 2160 oe or 540 × 4 ÷ 3 oe	M1	FT ‘their 2160’ provided ≠ 540 Allow M1 only for 2160 × 0.33(..) unless 720 given as the answer.
= (£) 720	A1	FT

Mark scheme (c)

Alternative method 1

Scheme	Marks	Comments
\(\dfrac{45}{360}\) oe	M1
= 0.125 (with comparison to 0.15)	A1

Alternative method 2

Scheme	Marks	Comments
\(\dfrac{45}{360}\) ( x 100) oe	M1
= 12.5(%)(with comparison to 15(%))	A1

Alternative method 3

Scheme	Marks	Comments
A method for comparing two fractions with common denominators e.g. \(\dfrac{15 \times 3.6}{100 \times 3.6}\)	M1
\(= \dfrac{54}{360}\) (with comparison to \(\dfrac{45}{360}\))	A1	Do not allow comparison \(\frac{1}{8}\) with \(\frac{3}{20}\). They must have a common denominator.