2D Area & Perimeter: Eduqas GCSE Foundation June 2024 Paper 2 Q5

Foundation June 2024 Paper 2 Q5

EduqasFoundationCurrent spec10 marks2D Area & Perimeter FDPR Mixed Context Units & Time

5. Austin owns a cake shop.

(a)

He sells his cakes in boxes.

Austin buys some boxes.
Each box costs £1.35.
He pays a total of £63.75 which includes a £3 delivery charge.
How many boxes did Austin buy? [2]

(b)

Austin uses cake boards to display his cakes.
Each board is square with sides of length 35·6 cm.
He puts ribbon around the perimeter of the boards for decoration.

Picture: a cake on a square cake board, with the side of the board labelled 35·6 cm

Austin has 4 metres of ribbon.
He puts the ribbon around the perimeter of two cake boards.
The ribbon does not overlap on either board.

How much ribbon will Austin have left over? [4]

(c)

Use the information below to convert between ounces and grams.

1 ounce (oz) = 28·35 grams (g)

(i)

The scales below show how many ounces of butter Austin uses to make 1 cake.

Picture: kitchen scales with a dial marked 0 to 9 oz; the pointer points to 7

How many grams of butter does Austin need to make 3 cakes? [2]

(ii)

Austin buys bags of sugar.
Each bag has a mass of 500 g.

What is the mass of one bag of sugar in ounces?
Give your answer to the nearest ounce. [2]

Mark scheme (a)

Scheme	Marks	Comments
(63.75 – 3) ÷ 1.35	M1	May be seen in stages
= 45	A1	Allow an embedded answer unless contradicted. If no marks, award SC1 for an answer of 61.5(27…) (from 63.75 – 3 ÷ 1.35)

Mark scheme (b)

Scheme	Marks	Comments
2 × 35.6 × 4 or 284.8 (cm) or 2 × 0.356 × 4 or 2.848 (m)	M2	Answer line take precedence. May be seen in stages. M1 for either of: 35.6 × 4 or 142.4 (cm) 0.356 × 4 or 1.424 (m)
400 – (2 ×) 35.6 × 4 or 4 – (2 ×) 0.356 × 4	m1	FT from M2 or M1
= 115.2 (cm) or = 1.152 (m)	A1	CAO but allow 115 (cm) or 1.15 (m) from correct working. If units are given, they must be correct.

Alternative

Alternative method

Scheme	Marks	Comments
\(\left(\frac{400}{2} - 35.6 \times 4\right) \times 2\) or \(\left(\frac{4}{2} - 0.356 \times 4\right) \times 2\) oe	M3	May be seen in stages. M2 for either of: \(\frac{400}{2} - 35.6 \times 4\) or 57.6 (cm) \(\frac{4}{2} - 0.356 \times 4\) or 0.576 (m) M1 for either of: 35.6 × 4 or 142.4 (cm) 0.356 × 4 or 1.424 (m)
= 115.2 (cm) or = 1.152 (m)	A1	CAO but allow 115 (cm) or 1.15 (m) from correct working. If units are given, they must be correct.

Scheme

Marks

Comments

\(\left(\frac{400}{2} - 35.6 \times 4\right) \times 2\)
or \(\left(\frac{4}{2} - 0.356 \times 4\right) \times 2\) oe

May be seen in stages.
M2 for either of:

\(\frac{400}{2} - 35.6 \times 4\) or 57.6 (cm)
\(\frac{4}{2} - 0.356 \times 4\) or 0.576 (m)

M1 for either of:

35.6 × 4 or 142.4 (cm)
0.356 × 4 or 1.424 (m)

= 115.2 (cm) or = 1.152 (m)

CAO but allow 115 (cm) or 1.15 (m) from correct working.
If units are given, they must be correct.

Scheme	Marks	Comments
(i) 595(.35) (g)	B2	B1 for one of the following: 7 × 28.35 198(.45) 7 × 3 × 28.35 21 × 28.35
(ii) 18 (ounces)	B2	B1 for either of: 17.6(36….) 500 ÷ 28.35 oe
	(10)