Higher January 2019 Paper 2 Q8
8 A block of wood has a mass of 3.5 kg.
The wood has density 0.65 kg/m3
(a) Work out the volume of the block of wood.
Give your answer correct to 3 significant figures. (3)
Give your answer correct to 3 significant figures. (3)
(b) Change a speed of 630 kilometres per hour to a speed in metres per second. (3)
| Scheme | Marks |
|---|---|
| \(0.65 = \dfrac{3.5}{V}\) | M1 |
| \((V =) \dfrac{3.5}{0.65}\) | M1 |
| 5.38 | A1 |
| (3) |
Notes
A1: for answer in range 5.38 – 5.385
SCB1 for a “correct” equation involving \(V\) with digits 65 and 35 where units have been converted eg \(V = \dfrac{3500}{0.65}\)
| Scheme | Marks |
|---|---|
| \(630 \times 1000\) (=630 000) \(60 \times 60\) (=3600) eg \(630 \div 60\) (=10.5) \(630\,000 \div 60\) (=10 500) \(1000 \div 60\) (=16.66...) \(1000 \div (60 \times 60)\) (=0.277...) \(1 \div (60 \times 60)\) (= 0.000277...) | M1 |
| \(\dfrac{630 \times 1000}{60 \times 60}\) oe | M1 |
| 175 | A1 |
| (3) | |
| (6 marks) |
Notes
M1: for converting 630 km to m
or
1 hour to seconds
or
for correct operation(s) using at least 2 of the numbers 630, 1000, 60, 60
M1: Fully correct method
(M2 for \(630 \div 3.6\))