Numeracy Foundation November 2017 Unit 1 Q3
3. Mr Rook wants to update his kitchen.
The electrician is available from the 13th to the 22nd inclusive.
The plumber is available from the 5th to the 18th inclusive.
The carpenter is available any day except for Saturdays, Sundays and Mondays.
Find the 3 dates that Mr Rook can book the carpenter, plumber and electrician to work together.
Use the calendar below. [2]
| JANUARY 2018 | ||||||
|---|---|---|---|---|---|---|
| MONDAY | TUESDAY | WEDNESDAY | THURSDAY | FRIDAY | SATURDAY | SUNDAY |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 8 | 9 | 10 | 11 | 12 | 13 | 14 |
| 15 | 16 | 17 | 18 | 19 | 20 | 21 |
| 22 | 23 | 24 | 25 | 26 | 27 | 28 |
| 29 | 30 | 31 | ||||
The 3 dates are …………… , …………… and ……………
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Mr Rook will need to pay the carpenter, plumber and electrician for the 3 days’ work.
The working day is from 8 a.m. to 5 p.m., with an hour off for lunch.
Their charges are:
| Carpenter | £20 per hour (not including lunch time) |
| Plumber | £180 per day |
| Electrician | £575 for the 3 days |
Calculate the total amount that Mr Rook has to pay.
You must show all your working. [5 + 2 OCW]
The plumber uses a van for work.
The diagram below is a scale drawing of his van.
The scale of the drawing is 1 cm represents 50 cm.
Find the actual length of the van 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%.
| Scheme | Marks | Comments |
|---|---|---|
| (i) 16(th), 17(th) and 18(th) (January) | B2 | May be evident on diagram. Dates can be in any order. Award B1 for 2 correct dates and no more than one incorrect. Award B0 if only Tuesday, Wednesday and Thursday stated with no dates evident. |
| (ii) (Working hours are) 8 hours (per day) | B1 | May be seen or implied in workings for the Carpenter. |
| (Fee for Carpenter is) 20 × 8 (× 3) | M1 | FT 20 × 'their hours' including 9 hours (× 3) |
| (£)480 | A1 | This may be seen or implied by correct answer of total fees. Answer of £540 from 20 × 9 × 3 award B0 M1 A1 |
| (Fee for Plumber is) (180 × 3 =) (£)540 | B1 | |
| (Total cost of fees are 480 + 540 + 575 =) (£)1595 | B1 | FT a correct calculation for 'their derived fee for carpenter' + 'their derived fee for plumber' + 575 Note: For 160 + 540 + 575 = 1275 award B1, M1, A0, B1, B1 Common incorrect answer of (540 + 540 + 575=)1655 Award B0 M1 A1 B1 B1 |
| Organisation and communication Accuracy of writing | OC1 W1 | 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 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 |
|---|---|---|
| 11(cm) (±2mm) 11 × 50 (÷100) 5.5 (metres) | B1 M1 A1 | (10.8 (cm) to 11.2(cm)) FT ‘their 11’ Answer must be in metres only. E.g. For an answer of 5m 50cm or 550cm using 11cm award B1 M1 A0 Measurements of: 10.8 cm gives 5.4 m 10.9 cm gives 5.45 m 11 cm gives 5.5 m 11.1 cm gives 5.55 m 11.2 cm gives 5.6 m |