4MA0 Foundation January 2016 Paper 1 Q11
11 A total of 1200 passengers are booked to go on a cruise ship.
70% of the passengers will get on the ship at Southampton.
\(\dfrac{1}{6}\) of the passengers will get on the ship at Lisbon.
The rest of the passengers will get on the ship at Venice.
(a) How many passengers will get on the ship at Venice? (3)
There are 1200 passengers on the ship and 900 crew on the ship.
(b) Write down the ratio of the number of passengers to the number of crew.
Give your ratio in its simplest form. (2)
Give your ratio in its simplest form. (2)
| Scheme | Marks |
|---|---|
| 1200 × 0.7 (=840) or 1200 ÷ 6 (=200) oe or 0.166… × 1200 oe (=200) | M1 |
| 1200 − 1200 × 0.7 − 1200 ÷ 6 | M1 |
| 160 | A1 |
| (3) |
Notes
M1: M1 for \(\dfrac{(70 + 16.6....)}{100} \times 1200\) (=1040)
or
0.866… × 1200 (=1040) oe
M2 for \(\dfrac{100 - (70 + 16.6....)}{100} \times 1200\) or 0.133….. × 1200
M1: dep
M1 (dep) for 1200 – “1040”
NB: Accept 2 or more sig figs truncated or rounded for 16.6…, 13.3…., 0.166…, 0.133… in working
| Scheme | Marks |
|---|---|
| 1200 : 900 | M1 |
| 4 : 3 | A1 |
| (2) |
Notes
M1: for any ratio equivalent to 1200 : 900 or 3 : 4