Higher June 2024 Paper 4 Q5
5 The same dog food is sold in three different sized packs.
The diagram shows the price of each pack.
Which pack is the best value for money?
Show how you decide. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Any unambiguous indication of correct pack (5 kg) with three accurate comparable figures | 3 | Allow any correct comparison e.g.(converting all to 1 kg) B2 for three accurate comparable figures or B1 for two accurate comparable figures OR M1 for one correct appropriate calculation e.g. 7.70 ÷ 0.7 oe or 32.40 ÷ 3 oe | See appendix for other calculations and values Mark their figures at the most accurate |
Appendix: Question 5
Figures below show minimal values required, units are not required, accept some figures which may be rounded up. The figures given must be accurate enough to differentiate between the three sizes.
| Cost of 1 kg | Cost of 1g | Amount for £1 | Amount for 1p | Amount for £7.70 | Amount for £32.4 | Amount for £53.9 | |
|---|---|---|---|---|---|---|---|
| 700g | £11 | £0.011 | 90[.9…] to 91 g | 0.90[9] to 0.91 g | 700 g | 2945… g | 4.9 kg |
| 3 kg | £10.8[0] | £0.0108 | 92.5 to 92.6 g | 0.925 to 0.926 g | 712… g | 3000 g | 4.99… kg |
| 5 kg | £10.7[8] | £0.0107[8] | 92.7… g | 0.927…g | 714… g | 3005… g | 5 kg |
| Cost of 700 g | Cost of 3 kg | Cost of 5 kg | Cost of 15 kg | |
|---|---|---|---|---|
| 700g | £7.7[0] | £33 | £55 | £165 |
| 3 kg | £7.56 | £32.4[0] | £54 | £162 |
| 5 kg | £7.54[6] or £7.55 | £32.3[4] | £53[.90] | £161[.70] |
Alternative method 2
Allow comparison in pairs e.g.
Compare 3 kg and 5 kg by working out the cost of 15 kg
3 kg is £162 and 5 kg is £161.70 so 5 kg is cheaper
Now compare 700 g and 5 kg by working out the cost of 7 kg
700 g is £77 and 5 kg is £75.46