Numeracy Foundation June 2017 Unit 1 Q4
4. Mrs Henry works part time in a factory.
The amount of time for each day that she worked last week is shown in the table.
| Day | Hours worked |
|---|---|
| Tuesday | \(3\frac{1}{2}\) |
| Wednesday | 4 |
| Thursday | \(4\frac{1}{2}\) |
| Friday | 5 |
| Saturday | 3 |
Mrs Henry’s pay is calculated using the following:
• £9 per hour for any extra hours
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Work out Mrs Henry’s total pay for last week.
You must show all your working. [6 + 2 OCW]
On another week Mrs Henry was paid £188.
She puts 20% of her weekly wage into a savings account.
How much did Mrs Henry put into her savings account that week?
Circle your answer. [1]
£9.40 £18.80 £34.20 £37.60 £150.40
| Scheme | Marks | Comments |
|---|---|---|
| An attempt at multiplying the hours for at least 1 day by 8 | S1 | May be implied in later working |
| (From Tuesday to Friday) 17 hours | B1 | Working with 17 hours from Tuesday to Friday this may be seen or implied by sight of eg 138 or (120 and 18) or (15 and 2) or 18 or 136 or (12 and 5) |
| (Pay for Tuesday to Friday) 15 × (£)8 + 2 × (£)9 (=120 + 18) or 17 × (£)8 + 2 × (£)1 (=136 + 2) or 3½×8 + 4×8 + 4½×8 + 3×8 + 2×9 (28 + 32 + 36 + 24 + 18 =138) | B2 | FT (their 17 – 15) × (£)9 Award B1 for sight of either 15 × (£)8 or 2 × (£)9 or 120 or 18 |
| (Saturday pay) 3× 2 × (£)8 (=48) | B1 | |
| (Total pay) (£)186(.00) | B1 | CAO If last B1 not awarded and no marks awarded from the B2 section then award SC1 for answers in the range (£)184 to (£)189 from appropriate working provided no numerical errors made. (This is from not dealing with the Friday and extra hours) E.g. 28 + 32 + 38 + 42 + 48 = 187 award S1 B1(have worked with 17 hours) B0 B1 B0 SC0 (4½ × 8 and 5 × 8 not correct and addition of values also not correct) Common answers of 28 + 32 + 36 + 40 + 48 = 184 Award S1 B1 B0 B1 B0 SC1 (no extra hours) 28 + 32 + 36 + 45 + 48 = 189 Award S1 B1 B0 B1 B0 SC1 (5 extra hours) 184 + ‘their 2’ ”extra” hours Award S1 B1 B0 B1 B0 SC1 |
| 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 |
|---|---|---|
| £37.60 | B1 |