Higher June 2023 Paper 5 Q8
8 A block made of iron is in the shape of a cuboid.
The block is 3.1 cm by 4.9 cm by 2.2 cm.
The density of iron is 7.87 g / cm3.
Sam thinks that the mass of the block is about 2.4 kg.
Use estimation to decide if Sam’s answer is reasonable.
Show how you decide. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [Vol of block ≈ 3 × 5 × 2 = ] 30 or [3 × 4.9 × 2 =] 29[.4] or [ 3 × 4.9 × 2 =] 31 or [ 3 × 5 × 2.2 = ] 33 | M2 | M1 for 3.1 × 4.9 × 2.2 or with one rounded value[s] | Throughout question if the candidate attempts to convert to different units this must be done correctly for method marks |
| their 30 × their 8 or 2400 ÷ their 30 or 2400 ÷ their 8 | M1 | Dep on at least M1 or for 2400 and their 8 used If M0M0, SC1 for two of 3, 5, 2 and 8 used | their 8 is 7.87, 7.9 or 8 Accept 2.4 ÷ their 30 their 8 is 7.87, 7.9 or 8 If these calculations are not shown they may be implied by correct figures for the answers |
| 240 or 80 or 300 | A1 | Accept e.g. 0.24 kg Accept e.g. 0.08 kg/cm3 | |
| Not reasonable oe and 2400 g or 0.24[0] kg shown oe or Not reasonable oe and 80 or 0.08 kg/cm3 shown or Not reasonable oe and 300 and 30 shown | A1 | Dep on M2M1A1 | Allow e.g. wrong/not correct for not reasonable Accept implicit comparison with 2.4 kg if 2400 g or 0.24 kg not shown e.g. it should be 10 times heavier |