Higher June 2024 Paper 1 Q15
15
(a) Between which two consecutive integers does the square root of 210 lie? [1 mark]
(b) Here are two calculations, A and B.
| A | B |
|---|---|
| \(1.92^7 + 6.9^3\) | \(5 \times \sqrt[3]{1\,000\,350}\) |
Use approximations to show that \(\quad\) answer to A \(\lt\) answer to B [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| 14 and 15 | B1 | either order |
Additional guidance
| Ignore incorrect calculations | |
| Answer \(14^2\) and \(15^2\) | B0 |
| Answer | Mark | Comments |
|---|---|---|
| \(2^7\) or 128 or \(7^3\) or 343 or \((5 \times) \sqrt[3]{1\,000\,000}\) or \((5 \times)\ 100\) or 500 | M1 | |
| At least two of 128, 343 and 500 or 471 | A1 | |
| 471 and 500 | A1 |