Foundation November 2021 Paper 2 Q18
18 The incomplete table gives some information about the lengths of the planks of wood in Ben’s workshop.
| Length of plank (metres) | Number of planks |
|---|---|
| 3 | 5 |
| 2.5 | 8 |
| 2 | |
| 1.5 | 14 |
| 1 | 10 |
The total length of these planks is 92 metres.
Work out the number of planks of length 2 metres in Ben’s workshop. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 13 | P1 | for at least two of \(3 \times 5\ (= 15)\) or \(2.5 \times 8\ (= 20)\) or \(1.5 \times 14\ (= 21)\) or \(1 \times 10\ (= 10)\) or for \(3 \times 5 + 2.5 \times 8 + 1.5 \times 14 + 1 \times 10\ (= 66)\) |
| P1 | for process to find length of all 2 m planks, eg \(92 - (3 \times 5 + 2.5 \times 8 + 1.5 \times 14 + 1 \times 10)\ (= 26)\) or \(92 - \text{``}15\text{''} - \text{``}20\text{''} - \text{``}21\text{''} - \text{``}10\text{''}\ (= 26)\) | |
| A1 | cao |
Additional guidance
Note 66 on its own will score this mark
If no calculations are seen for products allow one error in “15”, “20”, “21”, “10”
13 in the correct place in the table should be accepted as the final answer