2D Area & Perimeter: WJEC GCSE Numeracy Foundation November 2019 Unit 2 Q2

Numeracy Foundation November 2019 Unit 2 Q2

2. A company calculates its postage costs by using the following formula:

Total postage costs (£) =
number of small letters × 0.65 + number of large letters × 0.98

(a) Here is a note showing how many small letters and large letters were posted in a particular week.

Total postage costs = ..............
143 small letters
50 large letters

Calculate the total postage costs for this week. [3]

(b) In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

Here is a note showing the total postage cost and the number of small letters posted the following week.

Total postage cost = £119.47
125 small letters
..... large letters

Find how many large letters were posted that week.
You must show all your working. [4 + 2 OCW]

The company produces some postcards to advertise the business.
The postcards are rectangular.
The dimensions can be seen on the diagram below.

Diagram not drawn to scale

50·10 cm 25·5 cm 51 cm 157·5 cm² 157·5 cm

(d) The postcards are to be stored in boxes shaped like a cuboid, as shown in the diagram below.

Diagram not drawn to scale

Which two of the following nets can be used to make the boxes?
Circle your answers. [2]

Mark scheme (a)

Scheme	Marks	Comments
143 × 0.65 + 50 × 0.98	M2	Allow M2 for 143 × 65 + 50 × 98 M1 for 143 × (0.)65 (= (£)92(.)95) OR 50 × (0.)98 (= (£)49(.)00)) M1 for correct expression with mixed units e.g. 143 × 0.65 + 50 × 98
(£)141.95	A1	CAO ISW Sight of unsupported 140.091 gains M2 A0 (BIDMAS error)

Mark scheme (b)

Scheme	Marks	Comments
(cost of 125 small letters = 125 × 0.65 =) (£) 81.25	B1	May be implied in later working
(total cost of large letters =) (£)119.47 – 81.25 (= (£)38.22)	M1	FT (£)119.47 – ‘their (£) 81.25’
(number of large letters =) ((£)38.22) ÷ 0.98 or equivalent	m1	FT ‘their (£) 38.22’ ÷ 0.98 Accept 3822 ÷ 98 for m1 Allow m1 for incorrect place value e.g. 3822 ÷ 0.98
= 39 (large letters)	A1	FT ((£)119.47 – ‘their 81.25’) ÷ 0.98 Accept embedded answers Sight of 125 × (£)0.65 + 39 × (£)0.98 = (£)119.47 gains B1M1m1A1
Organisation and communication	OC1	For OC1, candidates will be expected to: • present their response in a structured way • explain to the reader what they are doing at each step of their response • lay out their explanations and working in a way that is clear and logical • write a conclusion that draws together their results and explains what their answer means
Writing	W1	For W1, candidates will be expected to: • show all their working • make few, if any, errors in spelling, punctuation and grammar • use correct mathematical form in their working • use appropriate terminology, units, etc.