Higher November 2020 Paper 1 Q17
17 A metal block has a mass of 5 kg, correct to the nearest 50 grams.
The block has a volume of \((1.84 \times 10^{-3})\) m3, correct to 3 significant figures.
Work out the upper bound for the density of the block.
Give your answer in kg/m3 correct to 1 decimal place.
Show your working clearly.
(4)
| Scheme | Marks |
|---|---|
| 5025 or 5.025 or 4975 or 4.975 | B1 |
| \(1.845 \times 10^{-3}\) oe or \(1.835 \times 10^{-3}\) oe | B1 |
| \(\dfrac{5.025}{1.835 \times 10^{-3}}\) (= 2738.4...) oe | M1 |
| Working required Answer: 2738.4 | A1 |
| (4) | |
| (4 marks) |
Notes
B1: Accept \(5024.\dot{9}\) for 5025 or \(5.024\dot{9}\) for 5.025
B1: Accept \(1.844\dot{9} \times 10^{-3}\) for \(1.845 \times 10^{-3}\)
M1: for correct substitution into \(\dfrac{m_{UB}}{v_{LB}}\)
where
\(5 \lt m_{UB} \leqslant 5.025\) and
\(1.835 \times 10^{-3} \leqslant v_{LB} \lt 1.84 \times 10^{-3}\)
A1: dep on correct working