Foundation June 2019 Paper 3 Q6
6 Josh downloads album A.
A has 11 tracks.
Each track on A costs the same.
The total cost of downloading A is £8.80
Josh also downloads album B.
B has 14 tracks.
Assume each track costs the same as a track on A. [3 marks]
the cost of 6 tracks on B is more by 5p each
the cost of 8 tracks on B is less by 5p each.
What does this tell you about your answer to part (a)?
Tick one box.
- The total cost is less than my answer to part (a)
- The total cost is more than my answer to part (a)
- The total cost is the same as my answer to part (a)
Give a reason for your decision. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(8.8(0) \div 11\) or (0).8(0) or \(880 \div 11\) or 80 | M1 | oe \(8.8(0) \times 14\) or 123.2(0) or \(880 \times 14\) or 12320 |
| their \((0).8(0) \times 3\ (+\ 8.8(0))\) or 2.4(0) (+ 8.8(0)) or their \(80 \times 3\ (+\ 880)\) or 240 (+ 880) or their \((0).8(0) \times 14\) or their \(80 \times 14\) or 11.2 or 1120 | M1dep | oe their \(123.2(0) \div 11\) or their \(12320 \div 11\) |
| 11.20 | A1 | Condone (£)11.20p |
| Alternative method 2 | ||
| \(11 \div 8.8(0)\) or 1.25 or \(11 \div 880\) or 0.0125 | M1 | oe |
| \(14 \div\) their 1.25 or \(14 \div\) their 0.0125 or 11.2 or 1120 | M1dep | oe |
| 11.20 | A1 | Condone (£)11.20p |
Additional guidance
| \(8.8(0) \times \dfrac{14}{11}\) or \(8.8(0) \times 1.27(\ldots)\) | M1M1 |
| \(\dfrac{56}{5}\) is oe for 11.2 | M1M1 |
| \(\dfrac{4}{5}\) is oe for 0.8, \(\dfrac{5}{4}\) is oe for 1.25, \(\dfrac{1}{80}\) is oe for 0.0125 | M1 |
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 – answer in (a) correct or answer in (a) not used | ||
| Ticks the box The total cost is less than my answer to part (a) and correct reason | B2 | correct reasons include more tracks cost less 10(p) (less) (costs) (£)11.1(0) B1 Ticks the box The total cost is less than my answer to part (a) |
| Alternative method 2 – answer in (a) incorrect and used for comparison | ||
| Ticks the box for the correct decision for comparison with their answer in part (a) and correct reason from comparison with their answer in part (a) | B2ft | B1ft Ticks the box for the correct decision for comparison with their answer in part (a) |
Additional guidance
Condone irrelevant statements with a correct reason
Do not accept an incorrect reason with a correct reason
Examples of correct reasons
\(6 \times 0.85 = 5.1\), \(8 \times 0.75 = 6\), \(6 + 5.1 = 11.1\)
+ 30p \(-\) 40p
2 tracks less by 5p means 10p
8 is more than 6 and cancels the 6 5ps added as 8 5ps taken away
Only 6 tracks cost 5p more on each and 8 tracks cost 5p less on each, so the 8 tracks that are less take away the extra money you pay for 6
The cost of 8 tracks is less by 5p each, but the cost of 6 tracks is more by 5p, this means that everything cancels apart from 2 of the 8 tracks
The first 6 are 5p more, the last 8 are 5p less this means it is cheaper
You are taking 5p off more tracks than you are adding 5p
Cost is less as adding 5p on only 6 but taking away 5p on 8
8 less by 5p, 6 more by 5p, 8 is more than 6
Examples of incorrect reasons
As 6 tracks are 5p more on each but 8 tracks are 5p less on each (no reference to 8 being greater than 6)
8 tracks is more than 6 tracks (no reference to cost)
Because \(8 - 6 = 2\) so therefore there are 2 less (no reference to cost)
Because 8 tracks is less by 5p so 16 will be less by 10p
If the tracks are cheaper then the total price will be cheaper (referring to the cost of all 14 tracks being 5p cheaper)
The more tracks, the less money each is worth by 5p each (referring to the cost of all 14 tracks being 5p cheaper)
Because there are more than 8 tracks on B so it’s less because it’s 5p less for each track (referring to the cost of all 14 tracks being 5p cheaper)