Higher June 2022 Paper 5 Q4
4
(a) Complete this statement by writing the missing power in the box.\[784 = 2^{\square} \times 7^2\]
[1]
(b) Use your answer to part (a) to find the value of \(\sqrt{784}\). [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 4 | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 28 | 2 | B1 for answer that is a multiple of 7 (not 7 or 14) but not a multiple of 49 and is less than 784 or \(n \times 7\) seen leading to the answer | 28 scores 2 marks from any method Allow B1 for a correct equivalent to 28 of form \(a\sqrt{b}\) (\(a \ne 1\)) e.g. \(7\sqrt{16}\), \(4\sqrt{49}\), \(2\sqrt{196}\) \(n = 2^k\) where \(k\) is an integer > 1 |