1MA0 Foundation November 2014 Paper 2 Q26
*26 Saphia is organising a conference.
People at the conference will sit at circular tables.
Diagram NOT accurately drawn
Each table has a diameter of 140 cm.
Each person needs 60 cm around the circumference of the table.
There are 12 of these tables in the conference room.
A total of 90 people will be at the conference.
Are there enough tables in the conference room? (4)
| Answer | Mark | Notes |
|---|---|---|
| No + reason | 4 | M1 for intention to find the circumference eg \(140 \times \pi\) (= 439.82...) A1 for circumference = 439 – 440 M1 (dep on previous M1) for a complete method shown that could arrive at two figures that are comparable, eg \(\text{``}C\text{''} \div 60 \times 12\) (= 87.96..), \(90 \div 12 \times 60\) (= 450), \(90 \times 60 \div \text{``}C\text{''}\) (= 12.27), \(\text{``}C\text{''} \div 90 \times 12\) (= 58.64..) C1 (dep on both M marks) for No and explanation that shows a correct comparison eg only 84 people could sit around the tables or that 13 tables are needed or that 480 cm is needed. |