1MA0 Foundation June 2015 Paper 1 Q27
*27 The diagram shows the floor plan of Mary’s conservatory.
Diagram NOT accurately drawn
Mary is going to cover the floor with tiles.
The tiles are sold in packs.
One pack of tiles will cover 2 m2
A pack of tiles normally costs £24.80
Mary gets a discount of 25% off the cost of the tiles.
Mary has £100
Does Mary have enough money to buy all the tiles she needs?
You must show all your working. (5)
| Answer | Mark | Notes |
|---|---|---|
| Has enough (with evidence) | 5 | M1 for splitting the shape (or showing recognition of the “absent” triangles) and using a method to find the area of one shape M1 for a complete method to find the total area, (= 9 m2) M1 (dep M1) for a method to find the number of packs required from their total area, eg. \(\text{``}9\text{''} \div 2 = 4.5\) rounded up to 5 M1 for a method to find 75% of 24.80 or 75% of the cost of their total number of packs, eg. \(24.80 \times 5 \times \tfrac{75}{100}\) (= 93) or \(24.80 \times \tfrac{75}{100}\) (= 18.6) C1 for a conclusion supported by fully correct answers, eg. showing 9 (m2), 5 (packs) and 93 or 7 (from \(100 - 93\)) OR M1 for method to find 75% of £24.80, eg. \(24.80 \times \tfrac{75}{100}\) (= 18.6) M1 for method to find total number of packs Mary can buy, eg. \(100 \div \text{``}18.60\text{''} = 5.3\ldots\) truncated to 5 or 10 (m2) M1 for finding area of one relevant shape or showing how one pack (2 m2) can fit in the diagram M1 (dep on previous M1) for complete method to show that 5 packs can cover the floor C1 for a conclusion supported by fully correct answers, showing the capacity (10) greater than total area (9) |