1MA0 Foundation November 2014 Paper 1 Q26
26 The diagram shows the plan of a floor.
Diagram NOT accurately drawn
The area of the floor is 138 m2.
Work out the value of \(x\). (4)
| Answer | Mark | Notes |
|---|---|---|
| 9 | 4 | M1 for method to find the area of one rectangle eg \(15 \times 8\) (= 120) or \(15 \times 11\) (= 165) M1 (dep) for subtraction from/by given area eg \(138 - \text{``}120\text{''}\) (= 18) or \(\text{``}165\text{''} - 138\) (= 27) M1 for final step from complete method shown eg \(15 - \text{``}18\text{''} \div 3\) or for \(\text{``}27\text{''} \div 3\) A1 cao OR M1 for a correct expression for the area of one rectangle eg \((8 + 3) \times (15 - x)\) or \(8 \times x\) M1 (dep) for a correct equation eg \((8 + 3) \times (15 - x) + 8 \times x = 138\) M1 for correct method to isolate \(x\) eg \(3x = 27\) A1 cao |