Foundation November 2018 Paper 2 Q25
25 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 |