Numeracy Foundation June 2023 Unit 2 Q2
2. Elsie runs dog-boarding kennels, Gwesty Woof.
There are two different sizes of kennel: large and small.
The kennels have rectangular bases.
(a)
The dimensions of the base of each small kennel are 3·4 m by 1·9 m.
The dimensions of the base of each large kennel are 5·9 m by 1·9 m.
What is the perimeter of the base of a large kennel? [2]
Perimeter of the base of a large kennel = …………… m
(b)
Six dog owners have booked their dogs into the kennels.
They have sent Elsie the messages below.
Using the information in the messages, decide which dogs should go into each kennel.
Write the names of the dogs on the plan below.
One has already been completed. [3]
| Can Annie be in kennel 2 please? | Can Poppy and Chester be in a large kennel together? Can they have the kennel number that’s a factor of 12 please? | Sirius needs a small kennel please. My favourite number is odd and a multiple of 3. |
| Finbar. Small kennel. An even square number please. | Macs and Tili can go into a large kennel together. I would like the number of the kennel to be even. | Howard and Eric together. Large kennel. Odd number but can’t be directly opposite to Sirius. They don’t get on! |
| Kennel 1 Small Kennel | Kennel 2 Small Kennel Annie | Kennel 3 Small Kennel | Kennel 4 Small Kennel |
| Kennel 5 Large Kennel | Kennel 6 Large Kennel | Kennel 7 Large Kennel | Kennel 8 Large Kennel |
| Scheme | Marks | Comments |
|---|---|---|
| 5·9 + 1·9 + 5·9 + 1·9 or equivalent | M1 | |
| 15·6 (m) | A1 | If no marks awarded, award SC1 for 10·6(m) (correctly evaluated perimeter of the base of small kennel) |
| Scheme | Marks | Comments | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| B3 | B3 for all correct kennels B2 for 3 or 4 correct kennels B1 for 1 or 2 correct kennels |