Intermediate November 2019 Unit 2 Q6
6. A coach company runs trips to Llandudno and Aberystwyth.
The information kept by the company about the passengers on these trips includes:
- the destination of the trip,
- their ages.
The table below shows the number of passengers who went to Llandudno or Aberystwyth last Tuesday.
| Llandudno | Aberystwyth | |
|---|---|---|
| Passengers 60 years old and over | 323 | 217 |
| Passengers under 60 years old | 122 | 58 |
(a) What was the ratio of passengers 60 years old and over to passengers under 60 years old?
Give your answer in its simplest form. [3]
Give your answer in its simplest form. [3]
Passengers 60 years old and over : passengers under 60 years old
= ……………… : ………………
(b) One of these passengers was selected at random.
What is the probability that this passenger went on the trip to Llandudno? [2]
What is the probability that this passenger went on the trip to Llandudno? [2]
| Scheme | Marks | Comments |
|---|---|---|
| Attempt at 323 + 217 AND 122 + 58 | B1 | Allow for an attempt at adding the correct two pairs of numbers. |
| = 3 : 1 | B2 | B1(plus previousB1) for a ratio equivalent to 3 : 1 e.g. 540 : 180. Allow B1B1 for a final answer of 1 : 3. If no marks gained allow SC1 for a final answer of 89 : 55 OR 55 : 89 (Llandudno : Aberystwyth ratio.) |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{445}{720}\) ISW \(\left(\dfrac{89}{144}\right)\) | B2 | 0·618(…) or 0·62 or 61·8(..)% or 62% implies B2. B1 for x/720 if x < 720. B1 for 445/y if y>445. Allow B1 for 0·61 or 61%. Penalise -1 for incorrect notation, e.g. 445 out of 720. |