Foundation June 2024 Paper 3 Q19
19
Not drawn accurately
Use Pythagoras’ theorem to work out the value of \(x\).
Give your answer as a decimal. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(24^2\) or 576 and \(31^2\) or 961 or 1537 | M1 | ignore units |
| \(\sqrt{24^2 + 31^2}\) or \(\sqrt{576 + 961}\) or \(\sqrt{1537}\) | M1dep | |
| 39.2(…) | A1 | accept 39 with 1537 seen or M2 awarded |
Additional guidance
| M1 may be awarded for correct work, with no or incorrect answer, even if this is seen amongst multiple attempts | |
| \(31^2 - 24^2\) | M1M0A0 |
| \(\sqrt{385}\) without seeing \(24^2\) or 576 and \(31^2\) or 961 | M0M0A0 |
| Answer only 39.2 | M2A1 |
| Answer only 39 | M0 |
| 39.2 from only accurate drawing | M0M0A0 |
| 39.2 from only trigonometry | M0M0A0 |
| 39.2 from only cosine rule | M1M0A0 |