Numeracy Foundation November 2022 Unit 1 Q2
2. The table below shows the number of visitors to some of the top attractions in Wales in 2017 and 2018.
The table also shows the percentage change in the number of visitors from 2017 to 2018.
| Attraction | Number of visitors 2017 | Number of visitors 2018 | Percentage change |
|---|---|---|---|
| Folly Farm | 480 000 | 455 428 | –5·1% |
| Cardiff Castle | 319 131 | 452 007 | +41·6% |
| Bodnant Garden | 255 949 | 260 153 | +1·6% |
| Caernarfon Castle | 204 675 | 205 009 | +0·2% |
| Conwy Castle | 221 652 | 201 961 | –8·9% |
| Zip World Slate Caverns | 190 000 | 195 000 | +2·6% |
Use the information in the table above to answer the following questions.
Zip World Slate Caverns had 195 000 visitors in 2018.
Write this number in words. [1]
Which attraction had the smallest percentage change from 2017 to 2018? [1]
Calculate the total number of visitors to Bodnant Garden in 2017 and 2018. [2]
Calculate the difference between the number of visitors to Cardiff Castle in 2017 and the number of visitors to Cardiff Castle in 2018. [2]
Ian looks at the data and says,
“In 2018, Folly Farm had about half a million visitors.”
Is Ian correct?
Give a reason for your answer. [1]
Yes ☐ No ☐
A new visitor attraction, Tailspin, wants to use the tail of the dragon from the Welsh flag as its logo.
The tail is drawn on the centimetre square grid below.
Each square on the grid represents an area of 4 cm2.
Tailspin is planning to make flyers to advertise the attraction.
To print the flyers, the area of the tail must be less than 48 cm2.
The manager of Tailspin thinks that the area of the tail is greater than 48 cm2.
Decide whether or not the manager is correct.
You must show all your working. [3]
The manager is:
Correct ☐ Not correct ☐
| Scheme | Marks | Comments |
|---|---|---|
| one hundred and ninety-five thousand | B1 | Do not accept
|
| Scheme | Marks | Comments |
|---|---|---|
| Caernarfon Castle | B1 | Allow (+)0.2(%) as indication of Caernarfon Castle |
| Scheme | Marks | Comments |
|---|---|---|
| 255949 + 260153 | M1 | |
| 516 102 | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| 452 007 – 319 131 | M1 | Allow 319 131 – 452 007 Allow -132 876 |
| 132 876 | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| Yes and valid reason given e.g. ‘Yes, because 455 428 is nearly 500 000’ ‘Yes, because if you round up 455 428 to the nearest hundred thousand it is 500 000’ ‘Yes, as 455 428 is closer to half a million than 400 000’ ‘Yes, because rounding to the nearest 100 000 would give you half a million’ | E1 | Allow e.g. ‘Yes, because they had over 450 000’ ‘Yes, as only about 50 000 away from half a million’ ‘Yes, because 455 428 is nearly half a million’ 'Yes, as you would round up to the nearest 50 000' ‘Yes, as half a million is 500 000’ ‘No because it is nearly 45 000 short’ ‘No as it was only 455 428 so that’s not quite half a million’ ‘No, because it is closer to 450 000’ ‘No because it is 460 000’ ‘No, because it is about 50 000 below’ 'No, because it is just over 450 000' 'No, because the number is below 500 000 so it isn't half a million' 'No, because half a million is 500 000 but the number is 455 428' 'No because it would be in the 500 000 so he is wrong because 455 428 is less than half a million’ Do not accept e.g. ‘Yes, because 455 428 is about half a million’ – this is the statement given ‘No, because it’s only 455 428’ 'No because 455 428 isn't close to half a million as it is in the 4s' 'No, because they got 455 428' |
| Scheme | Marks | Comments |
|---|---|---|
| Evidence of counting squares inside shape | M1 | |
| Answer in range 14 to 20 | A1 | |
| Correct evaluation of ‘their area’ × 4 and manager correct Or 48 ÷ 4 = 12 and manager correct | E1 | FT if M1 awarded for a correct evaluation of ‘their area’ × 4 and conclusion made consistent with their answer OR ‘their area’ is in the range 13 to 22 with ‘their area’ × 4 correct and manager correct |
Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| Evidence of splitting each square into 4 | M1 | Or for counting up in 4s up to at least 20 |
| Answer in range 56 to 80 | A1 | Must not come from incorrect work |
| Correct evaluation (conclusion) of the area with manager correct | E1 | FT if M1 awarded with conclusion made consistent for ‘their area’ OR ‘their area’ is in the range 52 to 88 with correct conclusion |