Higher June 2019 Paper 3 Q11
11 Here are two sets of numbers, A and B.
| Set A | Set B |
|---|---|
| 200 160 104 100 | 270 400 483 300 \(x\) |
mean of Set A : mean of Set B = 3 : 8
Work out the value of \(x\). [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \((200 + 160 + 104 + 100) \div 4\) or \(564 \div 4\) or 141 | M1 | |
| their \(141 \div 3 \times 8\) or \(47 \times 8\) or \(1128 \div 3\) or 376 | M1dep | oe accept \(141 \times 2.66(…)\) or \(141 \times 2.67\) |
| their \(376 \times 5\) or 1880 | M1dep | |
| 427 | A1 |
Additional guidance
| \((270 + 400 + 483 + 300 + 427) \div 5\) embedded answer | M1M1M1A0 |
| \((1453 + x) \div 5 = 376\) and \(1453 + x = 1880\) | M1M1M1 |
| \((1453 + x) \div 5 = 376\) | M1M1M0 |
| \(200 + 160 + 104 + 100 \div 4\) scores M0 unless recovered |