Numeracy Higher June 2018 Unit 2 Q1
1. In October 2011, a charge of 5p for a carrier bag was introduced in Wales.
Money raised from this charge is given to charity.
For the period 1st October 2011 to 31st January 2015, it was estimated that a total of between £16.8 million and £21.9 million was donated to charity. This is as a result of people buying 5p carrier bags.
(a) In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Calculate an estimate of how much per month was given to charity between 1st October 2011 and 31st January 2015.
You must show all your working. [4 + 2 OCW]
(b) Over time, there has been a reduction in the use of 5p carrier bags. This is because more people are using their own bags.
What impact might this have had on the amount given to charity for the month of September 2014 when compared with September 2012? [1]
| Scheme | Marks | Comments |
|---|---|---|
| (Period of time is) 3 years 4 months or 40 months | B1 | No marks if no working shown Accept 3 years 3 months 30 days or 3 years 3 months 29 days |
| Use of an amount between £16.8 and £22 million inclusive (£19.35 million being the mean of the values given in the question) | M1 | Ignore incorrect interpretation of ‘million’, including omission of ‘million’ Accept sight of an amount in this range used in any calculation |
| (Amount given to charity per month is) An amount between (£)16.8 and (£)22 million inclusive divided by (number of months) 40 | M1 | FT from M1 FT 'their 40' provided it is within the inclusive range of 36 to 52 months Ignore incorrect interpretation of ‘million’, including omission of ‘million’ |
| From correct calculation of an answer in the range (£)0.4 to (£)0.55 million inclusive or (£)400 000 to (£)550 000 inclusive | A1 | Do not accept omission of the word ‘million’ FT depends on M1, M1 previously awarded If working shown, this must be from correct calculation Ignore any additional rounding Accept a range given as an answer provided it falls within the answer range given Accept an answer rounded as an estimate, from working, provided it falls within the range given (FT within the inclusive range of 36 to 52 months gives an answer in the inclusive range £0.32 to £0.62 million) |
| 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 |
|---|---|---|
| Impact, e.g. ‘more in September 2012 than in September 2014 as the number of 5p bags bought is falling over time’, 'less given to good causes', ‘decreases’, ‘less (given)’ | E1 |