Foundation November 2017 Paper 2 Q15
15 In a test,
Section A has 80 marks
Section B has 120 marks.
Riya scores
55% in Section A
70% in Section B.
To pass, Riya needs to score 65% of the total marks.
Does she pass?
You must show your working. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(80 \times 0.55\) or 44 or \(120 \times 0.7\) or 84 | M1 | oe |
| \(80 \times 0.55 + 120 \times 0.7\) or 44 + 84 or 128 | M1dep | Correct method for both |
| \((80 + 120) \times 0.65\) or 130 or their \(128 \div (80 + 120) \times 100\) or their \(128 \div 2\) or 64 | M1 | 65% of total marks available or their total score for Riya as a percentage of full marks |
| 128 and 130 and No or 64 and No | A1 | oe eg No, she needed 130 but was 2 marks short oe eg 0.64 and 0.65 and No |
| Alternative method 2 – marks not scored | ||
| \(80 \times 0.45\) or 36 or \(120 \times 0.3\) or 36 | M1 | oe |
| \(80 \times 0.45 + 120 \times 0.3\) or 36 + 36 or 72 | M1dep | Correct method for both |
| \((80 + 120) \times 0.35\) or 70 or their \(72 \div (80 + 120) \times 100\) or their \(72 \div 2\) | M1 | 35% of total marks available or their total score for Riya as a percentage of full marks |
| 72 and 70 and No or 36 and 35 and No | A1 | oe eg No, she failed by 2 marks oe eg 0.36 and 0.35 and No |
| Alternative method 3 | ||
| \(80 \times 0.55\) or 44 | M1 | oe |
| \((80 + 120) \times 0.65\) or 130 | M1 | 65% of total marks available |
| their 130 – their 44 or 86 and \(120 \times 0.7\) or 84 or their 130 – their 44 or 86 and their \(86 \div 120 \times 100\) or 71.6... or 72 | M1dep | dep on M1M1 |
| 86 and 84 and No or 71.6... or 72 and 70 and No | A1 | oe eg No, she needed 2 more marks on B oe eg No, she needed 1.6% more on B |
| Alternative method 4 | ||
| \(120 \times 0.7\) or 84 | M1 | oe |
| \((80 + 120) \times 0.65\) or 130 | M1 | 65% of total marks available |
| their 130 – their 84 or 46 and \(80 \times 0.55\) or 44 or their 130 – their 84 or 46 and their \(46 \div 80 \times 100\) or 57.5 | M1dep | dep on M1M1 |
| 46 and 44 and No or 57.5 and 55 and No | A1 | oe eg No, she needed 2 more marks on A oe eg No, she needed 2.5% more on A |
Additional guidance
| Build up steps for percentages must be correct or have fully correct method shown for any incorrect steps | |
| eg1 50% = 40, 5% = 16, section A = 56 | M0 |
| eg2 50% = 40, 5% = \(80 \times 0.05\) = 16, section A = 56 | M1 |
| Ignore % signs given with marks eg 44% | |
| 128 and she needs 2 more marks implies No | M1M1M1A1 |
| 55 + 70 = 125 125 \(\rightarrow\) 62.5% and No | M0M0 M1A0 |
| Allow misread of 55% of 120 and 70% of 80 for method marks | max M3 |