Numeracy Intermediate November 2018 Unit 1 Q3
3.
(a)
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Tref-tiles sells boxes of small wall tiles.
Three different boxes are available.
| Box of 25 tiles for £7.50 | Box of 40 tiles for £11.20 | Box of 100 tiles for £29 |
Catrin is buying a very large quantity of these small tiles to cover all the walls in her bathroom.
Which box offers the best value for money?
You must show all your working. [4 + 2 OCW]
(b) Tref-tiles sells a wall tile measuring 10 cm by 20 cm.
How many of these tiles would be needed to cover a wall measuring 3 m by 4 m?
You can assume there are no gaps between the tiles.
You must show all your working. [3]
How many of these tiles would be needed to cover a wall measuring 3 m by 4 m?
You can assume there are no gaps between the tiles.
You must show all your working. [3]
Number of tiles is ……………
(c) Tref-tiles has 5 boxes of tiles on special offer.
All the tiles in each box are identical.
All the tiles in each box are identical.
| Box | A | B | C | D | E |
| Shape of tile | Square | Rhombus | Regular pentagon | Right-angled triangle | Circle |
3 of these boxes contain tiles that tessellate.
Manon is asked to select these 3 boxes.
Which 3 boxes should Manon select? [2]
Box ……………, box …………… and box ……………
| Scheme | Marks | Comments | ||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Method of comparison, e.g. per 1 tile or for 5 tiles, or similar | M1 | Needs to show attempt to compare at least 2 of the 3 packages, e.g. Comparing 100 tiles: 100 tiles for £29 with
| ||||||||||||||||||||||||||||||||
| Correctly evaluated comparison for 2 of the 3 packages | A1 | Ignore incorrect units
| ||||||||||||||||||||||||||||||||
| Correctly evaluated comparison for all packages, may be different methods for different stages | A1 | If units are given they must be correct Consistent units that are not obviously incorrect are required, or allow no units given Depends on at least M1, A1 previously awarded | ||||||||||||||||||||||||||||||||
| Conclusion ‘(box of) 40 (middle) is best value for money’ | E1 | FT provided all three boxes are appropriately compared (all three or as two pairs) and at least M1 A1 previously awarded Sight of looking at the difference in costs is likely to be M0 A0 A0 | ||||||||||||||||||||||||||||||||
| 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 | Do not penalise incorrect units, only consider if units are not given 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. | ||||||||||||||||||||||||||||||||
| Scheme | Marks | Comments |
|---|---|---|
Working with 3m by 4m:
| M2 | Ignore further inappropriate working M1 clearly showing (accepting shown on a diagram) any one of
|
| 600 (tiles) | A1 | CAO If no marks, award SC1 for a misuse of units with
|
3(b) Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| 12 (m\(^2\)) ÷ 0.02 (m\(^2\)) or 120000 (cm\(^2\)) ÷ 200 (cm\(^2\)) or \(\dfrac{300 \times 400}{10 \times 20}\) | M2 | Change areas to consistent units M1 for 10 × 20 = 200 AND 3(00) × 4(00) = 12(0000) or 3 × 4 = 12 AND 0.1 × 0.2 = 0.02 |
| 600 (tiles) | A1 | CAO |
| Scheme | Marks | Comments |
|---|---|---|
| Selecting the 3 boxes: A (Square) B (Rhombus) D (Right-angled triangle) | B2 | In any order B1 for selecting 2 of the 3 correct boxes B0 for selecting more than 3 boxes |