Higher November 2018 Paper 2 Q10
10 This triangle is equilateral.
Not drawn accurately
Is the perimeter of the triangle greater than one metre?
You must show your working. [5 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(4x + 5 = 6x - 10\) or \(4x + 5 = 10(x - 4)\) or \(6x - 10 = 10(x - 4)\) | M1 | oe eg \(4x + 5 + 6x - 10 = 2 \times 10(x - 4)\) condone \(10x - 4\) for \(10(x - 4)\) |
| \(4x - 6x = {-10} - 5\) or \(-2x = {-15}\) or \(4x - 10x = {-40} - 5\) or \(-6x = {-45}\) or \(6x - 10x = {-40} + 10\) or \(-4x = {-30}\) | M1dep | oe collection of terms eg \(4x + 6x - 20x = {-80} - 5 + 10\) or \(-10x = {-75}\) condone \(10x - 4\) for \(10(x - 4)\) eg \(4x - 10x = {-4} - 5\) or \(6x - 10x = {-4} + 10\) |
| (\(x =\)) 7.5 | A1 | oe may be implied by (side length =) 35 or (perimeter =) 105 |
| \((6 \times \text{their } 7.5 - 10) \times 3\) or \((4 \times \text{their } 7.5 + 5) \times 3\) or \(10 \times (\text{their } 7.5 - 4) \times 3\) or \(35 \times 3\) or \(6 \times \text{their } 7.5 - 10 + 4 \times \text{their } 7.5 + 5\) \(+\; 10 \times (\text{their } 7.5 - 4)\) or \(20 \times \text{their } 7.5 - 45\) or 105 | M1dep | oe dep on M1M1 condone \(10x - 4\) for \(10(x - 4)\) must show working if M1M1A0 |
| 105 and Yes | A1 | oe eg 1.05 and Yes |
Additional guidance
| \(4x + 5 = 6x - 10 = 10(x - 4)\) | M1 |
| Condone \(10x - 4\) for \(10(x - 4)\) for up to M3 |