Numeracy Foundation November 2018 Unit 2 Q3
3. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Mrs Davies has a rectangular garden.
The width of the garden is 5·4 m.
The length of the garden is 9 m.
She wants to place fence panels around three sides of the garden, as shown in the diagram below.
Each fence panel is 1·8 m long and costs £18.69.
Diagram not drawn to scale
Find the total cost of the fence panels for the three sides of the garden.
Give your answer correct to the nearest pound (£).
You must show all your working. [7 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| (Length of fence =) 5·4(m) + 9(m) + 5·4(m) | M1 | Must be total of 3 sides for M1 |
| = 19·8(m) | A1 | |
| (Total number of panels =) 19·8 ÷ 1·8 11 | M1 A1 | F.T ‘their 19·8’ ÷ 1·8 Answer must be rounded up if necessary |
| (Cost =) 11× (£)18.69 | M1 | F.T ‘their derived 11’× (£)18.69 |
| (£)205.59 (£)206(.00) | A1 B1 | F.T 'their derived (£)205.59' |
| 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. |
Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| (Finding number of panels on 1 side =) 5·4(m) ÷ 1·8(m) OR 9 ÷ 1·8(m) 3(panels) AND 5 (panels) | M1 A1 | |
| (Finding the cost of the panels = ) (2 ×) 3 × (£)18.69 OR 5 × (£)18.69 | M1 | F.T 'their derived 3’ or ‘their derived 5’ but must be whole number |
| (£)112.14 AND (£)93.45 | A1 | Not for £56.07 |
| (Total cost =) (£)112.14 + (£)93.45 | M1 | F.T ‘their (£)112.14’ + ‘their (£)93.45’ M1 for 11 × (£)18.69 or (‘their 5’ + ‘their 6’ ) × (£)18.69 |
| (£)205.59 (£)206(.00) | A1 B1 | CAO F.T 'their derived (£)205.59' If last two M1s not awarded, allow SC2 for sight of 11(panels) |