Higher November 2017 Paper 2 Q25
25 The dimensions of a rectangular floor are to the nearest 0.1 metres.
Not drawn accurately
A force of 345 Newtons is applied to the floor.
The force is to the nearest 5 Newtons.
\(\text{pressure} = \dfrac{\text{force}}{\text{area}}\)
Work out the upper bound of the pressure.
Give your answer to 4 significant figures.
You must show your working. [5 marks]
| Answer | Mark | Comments |
|---|---|---|
| 342.5 or 347.5 | B1 | Allow \(347.4\dot{9}\) for 347.5 |
| 6.35 or 6.45 or 2.55 or 2.65 | B1 | Allow \(6.44\dot{9}\) for 6.45 Allow \(2.64\dot{9}\) for 2.65 |
| their \(6.35 \times\) their 2.55 or 16.1925 | M1 | Must use their lower bounds for lengths their 6.35 must be [6.3, 6.4] their 2.55 must be [2.5, 2.6] |
| their \(347.5 \div\) their 16.1925 | M1dep | Must use their upper bound for force their 347.5 bound must be (345, 350] |
| 21.46 | A1 | Must come from \(347.5 \div (6.35 \times 2.55)\) or \(347.4\dot{9} \div (6.35 \times 2.55)\) |
Additional guidance
| \(347.49 \div (6.35 \times 2.55) = 21.46\) | B0B1M1M1A0 |
| 21.4… or 21.5 does not score any marks if no working is seen |