1MA0 Higher November 2014 Paper 2 Q13
13 The diagram shows a swimming pool in the shape of a prism.
Diagram NOT accurately drawn
The swimming pool is empty.
The swimming pool is filled with water at a constant rate of 50 litres per minute.
(a) Work out how long it will take for the swimming pool to be completely full of water.
Give your answer in hours.
(1 m\(^3\) = 1000 litres) (5)
Give your answer in hours.
(1 m\(^3\) = 1000 litres) (5)
Here are four graphs.
(b) Write down the letter of the graph that best shows how the depth of the water in the pool above the line MN changes with time as the pool is filled. (1)
| Answer | Mark | Notes |
|---|---|---|
| 65 | 5 | M1 for splitting up the cross section into separate areas and a method to find the area of one part OR for splitting up the pool into smaller prisms and a method to find the volume of one small prism, e.g. a cuboid M1 (dep) for a complete method to find the area of the cross section [with correct dimensions] OR for a method to find the total volume of more than one correct prism M1 (dep) for a complete method to find the volume of the pool [with correct dimensions] (= 195) M1 for \(\text{``}195\text{''} \times 1000 \div 50\) (=3900) oe where “195” comes from a volume A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| C | 1 | B1 cao |