Numeracy Foundation November 2018 Unit 1 Q3
3.
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Lowri and Jack are getting married.
They have a budget of £5000 for their wedding reception.
There will be a total of 100 people going to the reception.
Lowri and Jack wish to
- have a disco,
- have a meal for each person going to the reception,
- have as much money left over as possible to buy flowers.
They will make their final choice from the three hotels given in the table below.
| Wave Bay Hotel | Jenkins Hotel | Castle View Hotel | |
|---|---|---|---|
| Room hire | Free | £900 | Everything for £4570 |
| Disco | £275 | Free | |
| Meal | £45 per person | £38 per person |
Which hotel should Lowri and Jack choose?
You must show all your working. [4 + 2 OCW]
Lowri and Jack should choose .................................................... Hotel
After the wedding, Lowri and Jack are going on their honeymoon to Greece.
The total cost of the honeymoon is £3400.
They pay a deposit of £1000.
The holiday company then reduces the money they have left to pay by 10%.
The rest of the money they owe will be paid in 20 equal monthly payments.
How much will they need to pay each month? [5]
The flight for Lowri and Jack’s honeymoon is due to leave at 5:45 p.m.
Lowri and Jack
- want to check in 2 hours before the flight leaves,
- will take 30 minutes to get from their house to the check-in desk at the airport.
What is the latest time that Lowri and Jack should leave their house to check in for their flight?
You must show all your working. [3]
What is 5:45 p.m. in 24-hour clock time?
Circle your answer. [1]
15:45 05:45 13:45 07:45 17:45
| Scheme | Marks | Comments |
|---|---|---|
| (Wave Bay Hotel) 100 × 45 + 275 | M1 | May be seen in stages |
| (Jenkins Hotel) 100 × 38 + 900 | M1 | |
| (£)4775 AND (£)4700 AND Castle View Hotel stated | A2 | Award A1 for either (£)4775 or (£)4700 if at least M1 awarded Note: Only award A1 if both correct answers given and Castle View Hotel is not given ISW for money for flowers |
| Organisation and communication | OC1 | For OC1, candidates will be expected to:
|
| Writing | W1 | For W1, candidates will be expected to:
|
Alternative method (a). Working with what is left.
| Scheme | Marks | Comments |
|---|---|---|
| (Wave Bay Hotel) 5000 – (100 × 45 + 275) | M1 | May be seen in stages |
| (Jenkins Hotel) 5000 – (100 × 38 + 900) | M1 | |
| (£)225 AND (£)300 AND (£)430 AND Castle View Hotel stated | A2 | Award A1 for either (£)225 or (£)300 if at least M1 awarded Note: Only award A1 if only (£)225 and (£)300 given whether Castle Hotel is stated or not |
| Scheme | Marks | Comments |
|---|---|---|
| (Amount to pay) (£)2400 | B1 | |
| (10%=) (£)240 | B1 | FT 10% of ‘their 2400' including use of 3400 for 2400 |
| (2400 – 240=)(£) 2160 | B1 | FT ‘their 2400’ - ‘their 240’ correctly evaluated. Including use of 3400 for 2400. Allow this B1 if £1000 taken off here and not at the start. |
| (£)2160 ÷ 20 | M1 | |
| (£)108 | A1 | FT ‘their 2160’ ÷ 20 Example of common incorrect answers: 3400 B0 340 B1 (3400 – 340=) 3060 B1 3060 ÷ 20 M1 (£)153 A1 Example of common incorrect answers: 3400 B0 340 B1 (3400 – 340 - 1000=) 2060 B1 2060 ÷ 20 M1 (£)103 A1 Apply FT as above |
Alternative method (b)
| Scheme | Marks | Comments |
|---|---|---|
| (Amount to pay) (£)2400 | B1 | |
| 2400 ÷ 20 | M1 | FT if £1000 not taken off. |
| (£)120 | A1 | |
| (10%=) (£)12 | B1 | FT 10% of ‘their (£)120 |
| (120 – 12=)(£)108 | B1 | Example of common incorrect answers: 3400 B0 3400 ÷ 20 M1 (£)170 A1 (10%) 17 B1 (170 – 17=) (£)153 B1 Apply FT as above |
Corrected by Westie's Workshop
- The board's mark scheme printed “(170 – 17=) (£)153 A1”. Changed to “(170 – 17=) (£)153 B1” because in this alternative method the last mark is a B1 (as for 120 – 12 = 108), not an A1.
Original: see the board's mark scheme PDF (link above).
| Scheme | Marks | Comments |
|---|---|---|
| (i) 5:45pm – 2 hours | M1 | M marks can be awarded in any order Sight of 3:45 implies M1 FT their 3:45' - 30 mins Or Sight of 5:15pm implies M1 FT 'their 5:15' – 2 hours |
| – 30mins | M1 | Note: award M2 for 5:45 pm – 2 hours 30 mins Or 5:45 pm – 2 ½ hours Award M1M0 for 5– 2hrs30mins – 45mins However Award M1M1 for 5– 2hrs30mins + 45mins |
| 3:15 (p.m) or 15:15 | A1 | CAO. Do not accept 3:15 a.m or 03:15 |
| (ii) 17:45 | B1 |