Numeracy Foundation November 2021 Unit 2 Q4
4. Laura wants to join her local gym for a year.
(a) The local gym has two ways of paying for membership.
Plan A:
- Pay a joining fee of £135
- then £31.99 a month for the year
The manager offers Laura a 15% discount off the joining fee in Plan A.
(i)
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Which plan is the cheaper for Laura?
You must show all your working. [5 + 2 OCW]
(ii) What possible disadvantage could there be if Laura chooses the cheaper plan? [1]
(b) Laura’s local gym offers different activity classes.
Below is the timetable of classes.
Below is the timetable of classes.
| Mon | Tues | Wed | Thurs | Fri |
|---|---|---|---|---|
| 6 a.m. CIRCUITS | 6 a.m. SPIN | 6 a.m. SPIN | 6 a.m. CIRCUITS | |
| 10 a.m. SPIN | 10 a.m. STEP | 10 a.m. RUNNING CLUB | ||
| 6 p.m. AQUA AEROBICS | 6 p.m. CIRCUITS | 6 p.m. RUNNING CLUB | ||
| 7 p.m. RUNNING CLUB | 7 p.m. CIRCUITS | 7 p.m. AQUA AEROBICS | ||
| 8 p.m. SPIN | 8 p.m. RUNNING CLUB | 8 p.m. AQUA AEROBICS | 8 p.m. STEP |
Next week, Laura would like to attend four classes from the timetable.
Laura cannot attend:
- any classes on Thursday,
- more than one class a day,
- any of the 10 a.m. classes,
- any of the CIRCUITS classes.
She would like to attend:
- one STEP class,
- one 6 a.m. SPIN class,
- one AQUA AEROBICS class,
- one RUNNING CLUB session.
Which four classes can Laura attend?
Complete the table below. [3]
| DAY | TIME | ACTIVITY | |
|---|---|---|---|
| 1 | |||
| 2 | |||
| 3 | |||
| 4 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) (Plan A discounted joining fee =) (£)135 × 0.85 or (£)135 – 0.15 × (£)135 | M2 | Or equivalent ((£)135 – (£)20.25) M2 for complete method Award M2 for sight of (£)114.75 Award M1 for sight of 0.15 × (£)135 or (£)20.25 May be seen/implied in further working |
| (Plan A =) 12 × (£)31.99 + (£)114.75 | M1 | (£)383.88 + (£)114.75 (= (£)498.63) FT ‘their (£)114.75’ Allow 12 × (£)31.99 + (£)135 (=(£)518.88) or 12 × (£)31.99 + (£)20.25 (=(£)404.13) for M1 |
| (£)498.63 AND (Cheaper offer = ) B | A2 | Accept (£)499(.00) Award A1 for (£)498.63 or (£)499(.00) Award A1 for total cost incorrectly calculated or rounded incorrectly with correct conclusion FT their calculations for A2 or A1, provided at least M1 awarded e.g. (£)518.88 if (£)135 used (M1A1) and B selected (M1A2) or (£)404.13 if (£)20.25 used (M1M1A1) and A selected (M1M1A2). Must be unambiguous indication. Note: If (£)518.88 × 0.85 = (£)441.04(8) or equivalent is calculated (15% discount off total), then award M1M1A1 or A2 if correct conclusion A selected. If (£)518.88 × 0.15 = (£)77.83(2) or equivalent is calculated (15% discount of total), then award M0M1A1 or A2 if correct conclusion A selected. If (£)518.88 calculated for Plan A and (£)408 calculated for Plan B (15% off Plan B) then award M1M1A1 or A2 if correct conclusion B selected. |
| Scheme | Marks | 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 | Marks | Comments |
|---|---|---|
| (ii) Suitable disadvantage given relevant to the question e.g. “she may not have £480 to pay in one go” “a lot to pay in one go” “easier to pay in instalments” “only a bit cheaper so might as well go for the monthly instalments” “a lot of money if you give up/don’t like it” “the monthly payment could go up” | E1 | FT provided a suitable explanation Allow “the (monthly) price can go up” |
| Scheme | Marks | Comments | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| B3 | Table takes precedence. B2 for 2 or 3 correct rows or for the 4 classes unambiguously indicated on the timetable. B1 for 1 correct row or for 3 classes unambiguously indicated on the timetable. Could be any order. Penalise -1 once only if up to one entry missing on every row. |