Higher November 2024 Paper 3 Q4
4 To the nearest pound, Rosie has £12
She wants to buy 6 drinks.
Each drink costs £1.89
Show that Rosie definitely has enough money to buy the 6 drinks. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1: Compares lower bound with cost of 6 drinks | ||
| \(12 - 0.5(0)\) or 11.5(0) | M1 | oe eg \(1200 - 50\) allow mixed units eg \(12 - 50\) |
| \(1.89 \times 6\) or 11.34 | M1 | oe eg \(189 \times 6\) |
| 11.5(0) and 11.34 | A1 | oe eg 1150 and 1134 units must be consistent |
| Alternative method 2: Compares rounded cost of drinks with 12 | ||
| \(1.89 \times 6\) or 11.34 | M1 | oe eg \(189 \times 6\) |
| 11.34 rounds to 11 | M1dep | oe eg \(11.34 \to 11\) |
| 11.34 rounds to 11 and 11 is less than 12 | A1 | oe units must be consistent |
| Alternative method 3: Uses lower bound to work out cost or number of drinks | ||
| \(12 - 0.5(0)\) or 11.5(0) | M1 | oe eg \(1200 - 50\) allow mixed units eg \(12 - 50\) |
| their \(11.5(0) \div 6\) or [1.91, 1.92] or their \(11.5(0) \div 1.89\) or [6.08, 6.1] | M1 | oe eg \(1150 \div 6\) or [191, 192] their 11.5(0) must be [11, 11.99] |
| \(11.5(0) \div 6\) and [1.91, 1.92] or \(11.5(0) \div 1.89\) and [6.08, 6.1] | A1 | oe eg \(1150 \div 6\) and [191, 192] units must be consistent |
Additional guidance
| Ignore any use of upper bound | |
| Condone inconsistent notation eg 11.50 and £11.34p | M1M1A1 |
| 11.34 rounds to 11 not 12 so she will have enough | M1M1A1 |
| 11.34 rounds to 11 so she will have enough | M1M1A0 |