Higher June 2023 Paper 5 Q9
9 A zoo counts its animals.
The ratio of antelope to zebra is 3 : 2.
The ratio of meerkats to zebra is 7 : 3.
(a) Write the number of antelope as a percentage of the number of zebra. [2]
(b) There are 15 more meerkats than antelope.
Work out the number of zebra in the zoo. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 150 | 2 | M1 for \(\frac{3}{2}\) [× 100] oe | M1 for answer 1.5 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 18 | 4 | M3 for \(\frac{15}{14 - 9} \times 6\) oe or for answer 27 : 18 : 42 or B2 for 9 : 6 and 14 : 6 or 9 : 6 and 6 : 14 oe seen or ratio of \(A\) :[Z] : \(M\) = \(9k\): [\(6k\)]: \(14k\) seen or \(\frac{7}{3}[k] - \frac{3}{2}[k] = 15\) oe or M1 for \(\frac{7}{3}[k]\) and \(\frac{3}{2}[k]\) oe or for attempt to adjust ratios using a common multiple of 2 and 3 with one correctly adjusted value If 0 scored, SC1 for 21: 14 : 6 oe seen | If working to this question is seen in part (a) then it has to be used in part (b) to score any marks For B2 e.g. [A : Z : M = ] 9 :[ 6 ]:14 oe seen (allow in any order) M1 for [A : Z = ] 9 : 6 seen or [M : Z = ] 14 : 6 seen or [Z : M = ] 6 : 14 seen |