Numeracy Foundation June 2018 Unit 1 Q8
8. 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 |
How much change will they get from £20?
You must show all your working. [3]
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]
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]
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
| Scheme | Marks |
|---|---|
| 20 - 2 × 5.60 - 2 × 2.30 | M2 |
| (£)4.20 | A1 |
The alternative is printed in italics in the original.
Ignore if working with both columns, but only award final A1 if unambiguous final answer
If no marks, award SC1 for an answer of
- (£)1.9(0) from including charge for Anton (under 3), or
- (£)2.14 from incorrect column used
| 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 |
| 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 |