Higher June 2017 Paper 1 Q13
13.
(a) Evaluate each of the following. [3]
\(\left(\dfrac{49}{4}\right)^{\frac{1}{2}} =\) ……… \(125^0 =\) ……… \(8^{\frac{2}{3}} =\) ……… \(0{\cdot}75^{-1} =\) ………
(b) \(\sqrt[4]{100}\) lies between two consecutive whole numbers.
Complete the following statement:
\(\sqrt[4]{100}\) lies between the two consecutive whole numbers ……… and ……… [2]
Complete the following statement:
\(\sqrt[4]{100}\) lies between the two consecutive whole numbers ……… and ……… [2]
| Scheme | Marks | Comments |
|---|---|---|
| \(\left(\left(\dfrac{49}{4}\right)^{\frac12} =\right) \dfrac{7}{2}\) or 3.5 or \(3\tfrac12\), \((125^0 =)\) 1, \(\left(8^{\frac23} =\right)\) 4, \((0.75^{-1} =)\ \dfrac{4}{3}\) or \(1\tfrac13\) | B3 | All 4 correct Do not accept \(\dfrac{1}{0.75}\) or 1.3 but allow correct recurring notation or 1.33(…) Award B2 for 3 correct. Award B1 for 1 or 2 correct. |
| Scheme | Marks | Comments |
|---|---|---|
| \(\sqrt[4]{100} = \sqrt{10}\) or \(3^4 = 81\) or \(4^4 = 256\) | M1 | Accept any valid method |
| 3 and 4 | A1 | Not from wrong working Accept unsupported 3 and 4 for 2 marks |
| (5) |