Higher November 2019 Paper 1 Q17
17 A and B are two similar cylindrical containers.
the surface area of container A : the surface area of container B = 4 : 9
Tyler fills container A with water.
She then pours all the water into container B.
Tyler repeats this and stops when container B is full of water.
Work out the number of times that Tyler fills container A with water.
You must show all your working. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 4 | P1 | for process to find ratio of corresponding lengths, eg. \(\sqrt{4} : \sqrt{9}\ (= 2 : 3)\) |
| P1 | for process to find ratio of volumes, eg \(\text{``}2\text{''}^3 : \text{``}3\text{''}^3\ (= 8 : 27)\) | |
| P1 | for \(\text{``}27\text{''} \div \text{``}8\text{''}\ (= 3.375)\) | |
| A1 | for rounding to give an answer of 4 from correct working |
Additional guidance
This may be seen by checking their volume,
eg. \(\text{``}8\text{''} \times 4\ (= 32)\) and \(\text{``}8\text{''} \times 3\ (= 24)\)
An answer of 4 with no supportive working gets no marks