Numeracy Foundation November 2018 Unit 1 Q7
7.
(a)
Tref-tiles sells boxes of small wall tiles.
Three different boxes are available.
Box of
25 tiles
for £7.50
25 tiles
for £7.50
Box of
40 tiles
for £11.20
40 tiles
for £11.20
Box of
100 tiles
for £29
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]
(b)
Tref-tiles has 5 boxes of tiles on special offer.
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 | ||||||||||||||||||||||||||||||||
Corrected by Westie's Workshop
- The board's mark scheme printed “0.3448...”. Changed to “0.03448...” because 1/29 = 0.03448..., so the decimal was wrongly placed (the other rows start 0.03...).
Original: see the board's mark scheme PDF (link above).
| 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 |