2D Area & Perimeter: WJEC GCSE Numeracy Foundation June 2018 Unit 1 Q3

Numeracy Foundation June 2018 Unit 1 Q3

WJECFoundationCurrent spec8 marks2D Area & Perimeter

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

Mr Jones wants to build a new house.
He has found two suitable plots of land which cost the same amount.
Each plot of land has space for his house and a large garden.
The plan for each plot of land is shown below.

Plot A: an irregular shape with rounded corners drawn on a square grid, scale 1 square = 100 m squared; the grid is 6 by 6 squares and the shape is roughly 4 squares wide and 3 squares tall, with a piece about 2 squares by 1 square cut from the lower right. Plot B: a rectangle 40 m long and 22 m wide, diagram not drawn to scale

By considering the area of each plot, decide which plot of land Mr Jones should buy.
You must show all your working.

Give a reason for your answer. [6 + 2 OCW]

Mark scheme

Scheme	Marks	Comments
(Area of plot A:) (Number of squares:) Evidence of counting squares inside shape	M1
Answer in range 9 – 13	A1
(Area:) ‘Their number of squares counted inside’ × 100 (m²) evaluated correctly	B1	FT area only not perimeter Answer only between 900 and 1300 obtains all 3 marks provided answer is not from perimeter.
(Area of plot B:) 40 × 22	M1
880 (m²)	A1	Award SC1 for answer of 800 (m²) from an estimate of 40× 20.
Plot stated with reason given Eg ‘Plot B as both areas are about 900 (m²) but plot B is easier to work with as it is a rectangle.’ ‘Plot A as the area is bigger.’	E1	Strict FT provided answers for both plots A and B are given AND at least M1 awarded.
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.