Numeracy Intermediate June 2018 Unit 1 Q2
2. Mr and Mrs Blanc have 3 children, Valerie, Theo and Anton. The family is visiting Wales.
Valerie and Theo are 14-year-old twins.
Anton is 2 years old.
They visit Castell Gwynhir ruins and gardens.
A copy of the entrance board is shown below.
| Castell Gwynhir ruins and gardens | ||
|---|---|---|
| Standard charge | Charge with 10% contribution towards improvements | |
| Adult Child – age 3 to 16 Child – under 3 | £5.60 £2.30 Free | £6.40 £2.53 Free |
(a) The family decides to pay the standard charges to visit Castell Gwynhir.
How much change will they get from £20?
You must show all your working. [3]
How much change will they get from £20?
You must show all your working. [3]
(b) In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Theo looks at the charges with a 10% contribution towards improvements.
Theo says,
‘The adult charge with an extra 10% is not right. It is too high!’
By how much is the adult charge too high?
You must show all your working. [3 + 2 OCW]
(c) The gardens at Castell Gwynhir cover an area of 714 000 m2.
Water ponds cover \(\dfrac{2}{7}\) of the area of the gardens.
Calculate the area covered by water ponds. [2]
Water ponds cover \(\dfrac{2}{7}\) of the area of the gardens.
Calculate the area covered by water ponds. [2]
Area covered by water ponds is …………… m2
| Scheme | Marks | Comments | ||||
|---|---|---|---|---|---|---|
| 2 × 5.60 + 2 × 2.30 | M1 | |||||
| (£) 15.80 | A1 | |||||
| (£) 4.20 | A1 | FT 20 – 'their 15.80' correctly evaluated provided M1 awarded Alternative:
If no marks, award SC1 for an answer of
|
| Scheme | Marks | Comments |
|---|---|---|
| (Adult extra 10% of £5.60 is £) (0.)56 | B1 | Ignore units. (£)1(.)12 implies 56(p) |
| (Adult with extra 10% is £) 6.16 OR (Adult pays too much by) 6.4(0) – 5.6(0) – (0).56 | B1 | (£)12.32 implies (£)6.16 FT ‘their 56p’ provided 10% of £5.60 attempted |
| (Adult pays too much by) 24p or £0.24 | B1 | CAO. B0 for 48(p) If units are given they must be correct Penalise units not given in (OC)W |
| Organisation and communication | OC1 | For OC1, candidates will be expected to: • present their response in a structured way • explain to the reader what they are doing at each step of their response • lay out their explanations and working in a way that is clear and logical • write a conclusion that draws together their results and explains what their answer means |
| Writing | W1 | For W1, candidates will be expected to: • show all their working • make few, if any, errors in spelling, punctuation and grammar • use correct mathematical form in their working • use appropriate terminology, units, etc. |
| Scheme | Marks | Comments |
|---|---|---|
| Intention to calculate 714 000 ×2 ÷ 7 | M1 | May be seen in stages Sight of 2/7 × 714 000 is insufficient for M1, there must be an intention to ÷7 and ×2, e.g. allow from sight of incorrect responses 24000, or 2 × 12000 |
| 204 000 (m2) | A1 | Mark final answer |