Higher November 2017 Paper 1 Q12
12 Use approximations to 1 significant figure to estimate the value of
\[\frac{0.526 \times 39.6^2}{\sqrt{97.65}}\]You must show your working. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Any two of 0.5, 40 and 100 | M1 | 1600 implies 40 10 implies 100 |
| (\(40^2 =\)) 1600 or (\(0.5 \times 40^2 =\)) 800 or (\(\sqrt{100} =\)) 10 | M1 | |
| 80 with correct working | A1 |
Additional guidance
| \(\dfrac{0.5 \times 1600}{\sqrt{100}}\) or \(\dfrac{0.5 \times 40^2}{10}\) or \(\dfrac{1 \times 1600}{10}\) or \(\dfrac{800}{\sqrt{100}}\) or \(\dfrac{800}{10}\) | M1M1 |
| 80 with no or incorrect working, eg attempt at actual calculation and then rounding to 80 | M0M0A0 |
| Condone 0.50(0) for 0.5, 40.0(0) for 40 and 100.0(0) for 100 etc | |
| Rounding 0.526 to 1, but otherwise correct, with answer 160 | M1M1A0 |