Numeracy Foundation June 2025 Unit 2 Q4
4. Mr and Mrs Smith and their three children visit London to go on the London Eye.
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
The Smith family travel by train to London.
The three children’s train tickets cost £41.80 each.
The following table shows the entry costs for the London Eye.
| Cost per Adult | Cost per Child | |
|---|---|---|
| London Eye | £36 | £32.50 |
The total cost of the train tickets and entry to the London Eye for the family is £466.
Find the cost of one adult train ticket.
You must show all your working. [6 + 2 OCW]
The diagram below is a scale drawing of the London Eye.
The scale of the drawing is 1 cm represents 15 metres.
Find the actual height of the top of the London Eye from the ground.
Give your answer in metres. [3]
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
Height of the London Eye = …………… metres
| Scheme | Mark | Comments |
|---|---|---|
| May be implied within further working | ||
| (Cost of children’s travel: 3 × 41.80 =) (£) 125.4(0) | B1 | |
| (Cost of children’s entry to London eye: 3 × 32.50 =) (£)97.5(0) | B1 | |
| (Cost of adult’s entry to London eye: 2 × 36 =) (£)72 | B1 | |
| (Cost of adult travel:) 466 – 125.4(0) – 97.5(0) – 72 (466 – 294.90) | M1 | FT 466 – ‘their stated or derived 125.40’ – ‘their stated or derived 97.5(0)’ – ‘their stated or derived 72’ provided at least B1 previously awarded and not using the given values alone May be seen in stages |
| (£)171.1(0) | A1 | |
| (Each adult: 171.10 ÷ 2 =) (£)85.55 | B1 | FT ‘their 171.1(0)’ ÷ 2 correctly evaluated |
Alternative
The alternative methods are printed in italics in the mark scheme.
Alternative method 1 (children 1st)
| Scheme | Mark | Comments |
|---|---|---|
| May be implied within further working | ||
| (Cost of children’s travel: 3 × 41.80 =) (£)125.4(0) | B1 | |
| (Cost of children’s entry to London eye: 3 × 32.50=) (£)97.5(0) | B1 | |
| (Total adult costs: 466 – 125.40 – 97.50 =) (£)243.1(0) | B1 | FT 466 – ‘their stated or derived 125.40’ – ‘their stated or derived 97.50’ correctly evaluated and not using the given values alone |
| (Cost of adult’s entry to London eye: 2 × 36=) (£)72 | B1 | May be implied by sight of 171.1(0) |
| (Cost of adult travel: 243.1(0) – 72 =) (£)171.1(0) | B1 | FT ‘their stated or derived 243.10’ – ‘their stated or derived 72’ correctly evaluated provided at least B1 previously awarded |
| (Each adult: 171.10 ÷ 2 =) (£)85.55 | B1 | FT ‘their 171.1(0)’ ÷ 2 correctly evaluated |
Alternative method 2 (London eye 1st)
| Scheme | Mark | Comments |
|---|---|---|
| May be implied within further working | ||
| (Cost of children’s entry to London eye: 3 × 32.50 =) (£)97.5(0) | B1 | |
| (Cost of adult’s entry to London eye: 2 × 36 =) (£)72 | B1 | |
| (Total cost of travel: 466 – 97.50 – 72 =) (£)296.5(0) | B1 | FT 466 - ‘their stated or derived 97.5(0)’ – ‘their stated or derived 72’ correctly evaluated and not using the given values alone |
| (Cost of children’s travel: 3 × 41.80 =) (£)125.4(0) | B1 | May be implied by sight of 171.1(0) |
| (Cost of adult train travel: 296.50 – 125.40 =) (£)171.1(0) | B1 | FT ‘their 296.50’ – ‘their 125.40’ correctly evaluated provided at least B1 previously awarded |
| (Each adult: 171.10 ÷ 2 =) (£)85.55 | B1 | FT ‘their 171.1(0)’ ÷ 2 correctly evaluated |
Alternative method 3 (Without part answers)
| Scheme | Mark | Comments |
|---|---|---|
| May be implied within further working | ||
| Cost for children’s travel and total London Eye) 3 × 41.80 + 2 × 36 + 3 × 32.50 (125.40 + 72 + 97.50 = (£)294.9(0)) | B3 | May be seen in stages Award B2 for any 2 products added Award B1 for any one of 125.40 or 72 or 97.50 |
| (Cost of adult travel:) 466 – 3 × 41.80 – 2 × 36 – 3 × 32.50 (466 – 294.90) | M1 | FT 466 – ‘their stated or derived 125.40’ – ‘their stated or derived 97.5(0)’ – ‘their stated or derived 72’ provided at least B1 previously awarded and not using the given values |
| (£)171.1(0) | A1 | CAO |
| (Each adult: 171.10 ÷ 2 =) (£)85.55 | B1 | FT ‘their 171.1(0)’ ÷ 2 correctly evaluated |
| Scheme | Mark | Comments |
|---|---|---|
| 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 | Mark | Comments |
|---|---|---|
| 9(cm) (±2mm) | B1 | (8.8 (cm) to 9.2(cm)) |
| 9 × 15 | M1 | FT ‘their height (9)’ Ignore any attempt to change units if 9 × 15 seen Award B1 M1 A0 for example: 9 × 15 = 135 then 135 × 100 = 13500 (cm) |
| 135 (metres) | A1 | Measurements of: 8.8 cm gives 132 m 8.9 cm gives 133.5 m 9 cm gives 135 m 9.1 cm gives 136.5 m 9.2 cm gives 138 m Only award B1M1A1 for an unsupported correct answer |