Foundation June 2022 Paper 1 Q20
20 This list represents four numbers.
\[127 \qquad x \qquad x + 1 \qquad 2x\]The mean of the four numbers is 180.
Work out the numbers.
You must show your working. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [127] 148 149 296 in any order With correct working | 5 | M3 for \(4x\) and 592 or for \((180 \times 4 - 127 - 1) \div 4\) A1 for 148 | “correct working” requires at least M2 \(180 \times 4\) can be implied by 720 throughout |
| or M2 for a correct algebraic expression and correct constant or for \(180 \times 4 - 127\ [-\ 1]\) or for \(127 + 148 + 149 + 296 = 180 \times 4\) oe or for trials leading to the correct answer | eg \(127 + x + x + 1 + 2x\) and 720; \(4x + 1\) and 593 Do not accept \(x\), \(2x\) or \(x + 1\) as correct algebraic expressions for M2 Condone e.g. \(127 + x + x + 1 + 2x \div 4\) for M1 | ||
| or M1 for \(127 + x + x + 1 + 2x\) nfww or \(180 \times 4\) or 720 | Mark to candidates advantage | ||
| If 0 or 1 scored, instead award SC2 for 148 149 296 in any order with no or insufficient working If 0 scored, SC1 for [\(x =\)]148 | |||