Foundation June 2023 Paper 2 Q11
11 The table shows information about the weights of the people in a hotel lift.
| Weight | Number of people |
|---|---|
| 40 kg | 1 |
| 50 kg | 2 |
| 60 kg | 4 |
| 70 kg | 5 |
| 80 kg | 3 |
| 90 kg | 1 |
Show that the total weight of the people in the lift is less than 1200 kg. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| Shown | M1 | for at least three of \(40 \times 1\ (= 40)\), \(50 \times 2\ (= 100)\), \(60 \times 4\ (= 240)\), \(70 \times 5\ (= 350)\), \(80 \times 3\ (= 240)\), \(90 \times 1\ (= 90)\) oe |
| M1 | (dep M1) for a complete method to find comparable figures (allow up to 2 errors in their products), eg \(40 \times 1 + 50 \times 2 + 60 \times 4 + 70 \times 5 + 80 \times 3 + 90 \times 1\) oe or for \(1200 - 40 \times 1 - 50 \times 2 - 60 \times 4 - 70 \times 5 - 80 \times 3 - 90 \times 1\) oe | |
| A1 | for accurate comparable figures, eg 1060 or 140 |
Additional guidance
Intention to multiply is enough for award of M1
May be seen as repeated addition
Condone incorrect difference if 1060 is clearly seen