Higher November 2018 Paper 1 Q13
13.
(a) Jo estimates the value of \(2{\cdot}75^4\) to be less than 81.
Show that Jo is correct. [1]
Show that Jo is correct. [1]
(b) Find the value of each of the following.
(i) \(\sqrt{32} \times \sqrt{2}\) [1]
(ii) \(5^{11} \div 5^8\) [2]
(iii) \(16^{\frac{3}{4}}\) [2]
| Scheme | Marks | Comments |
|---|---|---|
| Valid explanation e.g. ‘\(3^4 = 81\) (and \(2.75 \lt 3\) and rounds to 3 to 1 sf)’ or ‘(\(2.75^4 \lt 3^4\) and) \(3^4 = 81\)’ | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) 8 | B1 | \(-8\) is B0 |
| (ii) 125 | B2 | B1 for \(5^3\) |
| (iii) 8 | B2 | not from wrong working; allow \(\pm8\) for B2 B1 for \(4096^{\frac{1}{4}}\) or \(2^3\) |
| (6) |