Numeracy Foundation November 2019 Unit 2 Q8
8.
(a) \(\frac{6}{11}\) of Jenna’s friends have pets.
Of these friends with pets, \(\frac{2}{3}\) of them have a dog.
Of these friends with pets, \(\frac{2}{3}\) of them have a dog.
Use this information to answer each of the following questions.
(i) Jenna has 33 friends.
How many of her friends have a pet? [2]
How many of her friends have a pet? [2]
(ii) What fraction of Jenna’s friends have a dog? [2]
(b) 120 people were surveyed.
They were each asked which is their favourite pet: dog, cat or fish.
The numbers who answered dog, cat and fish were in the ratio 63 : 39 : 18.
They were each asked which is their favourite pet: dog, cat or fish.
The numbers who answered dog, cat and fish were in the ratio 63 : 39 : 18.
Express this ratio in its simplest terms. [1]
| Scheme | Marks | Comments |
|---|---|---|
| (i) 33 × 6/11 or 6 × 33 ÷ 11 | M1 | |
| 18 (friends) | A1 | ISW Allow:
|
| (ii) \(\dfrac{2}{3}\times\dfrac{6}{11}\) or \(\dfrac{2}{3}\times\dfrac{18}{(33)}\) | M1 | FT ‘their 18’ 2/3 × 18 leading to an answer of 12 or a final answer of 12 implies M1 |
| \(\dfrac{36}{99}\) or \(\dfrac{12}{33}\) or \(\dfrac{4}{11}\) | A1 | ISW If no marks, award SC1 for sight of 12/18 |
| Scheme | Marks | Comments |
|---|---|---|
| 21 : 13 : 6 | B1 | Mark final answer Allow 21 dogs : 13 cats : 6 fish Do not accept 21 dogs 13 cats 6 fish |