Foundation November 2023 Paper 2 Q27
27 Tasha drove 198 miles.
Her average speed for the first 3 hours was 45 miles per hour.
Her average speed for the rest of the journey was 31.5 miles per hour.
Work out her average speed for the whole journey. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(3 \times 45\) or 135 or 63 | M1 | may be seen embedded in an expression, equation or calculation eg \(3 \times 45 + 31.5x = 198\) |
| \(\dfrac{198 - 3 \times 45}{31.5}\) or \((198 - 135) \div 31.5\) or \(63 \div 31.5\) or 2 (hours) | M1dep | oe eg \(31.5 \times 2 = 63\) implied by total of 5 (hours) |
| \(198 \div (3 +\) their \(2)\) or \(198 \div 5\) | M1dep | |
| 39.6 | A1 | accept 40 with M3 awarded |
Additional guidance
| Up to M2 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| NB \(31.5 \div (45 \div 3) = 2\) (hours) | M0M0 |