1MA0 Foundation November 2012 Paper 2 Q14
*14 Here is a diagram of a wall.
Diagram NOT accurately drawn
Halima wants to cover all of the wall with tiles.
The tiles are squares with sides of length 20 cm.
The tiles are sold in packs.
There are 10 tiles in each pack.
Each pack of tiles costs £34.99
Halima only has £1000
Can she buy enough packs of tiles to cover the wall? (6)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(3 \times 4 = 12\) 12 m\(^2\) = 120000 cm\(^2\) \(20 \times 20 = 400\) \(120000 \div 400 = 300\) \(300 \div 10 = 30\) OR 3m = 300cm, 4 m = 400cm \(300 \div 20 = 15\), \(400 \div 20 = 20\) \(15 \times 20 = 300\) \(300 \div 10 = 30\) \(30 \times 34.99 = 1049.70\) | No with working | 6 | B1 for a correct conversion of 3 m or 4 m to cm or 20 cm to m or a correct and appropriate area conversion. M1 for \(300 \times 400\) (=120000) or \(3 \times 4\) (=12) M1 for \(20 \times 20\) or \(0.20 \times 0.20\) M1 for \(\text{`}120000\text{'} \div \text{`}400\text{'}\) or \(\text{`}12\text{'} \div \text{`}0.04\text{'}\) A1 for 1049.7(0) C1 (dep M1) for comparison and correct deduction using their total cost with supportive working OR B1 for a correct conversion of 3 m or 4 m to cm or 20 cm to m or a correct and appropriate area conversion. M1 for \(300 \div 20\) or \(400 \div 20\) or \(3 \div 0.2(0)\) or \(4 \div 0.2(0)\) M1 for \(300 \div 20\) and \(400 \div 20\) or \(3 \div 0.2(0)\) and \(4 \div 0.2(0)\) M1 for \(\text{`}15\text{'} \times \text{`}20\text{'}\) A1 for 1049.7(0) C1 (dep M1) for comparison and correct deduction using their total cost with supportive working |