Numeracy Intermediate November 2023 Unit 1 Q4
4.
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Rita gives some money to charity.
She decides to share this money between 3 different charities.
Rita gives $40 to a children’s charity.
This is \(\frac{1}{5}\) of the total amount of money she gives to the 3 charities.
Rita gives \(\frac{1}{4}\) of the total amount of money to an animal charity.
She gives the remaining money to a medical research charity.
Calculate how much money Rita gives to the medical research charity.
You must show all your working. [5 + 2 OCW]
No income tax was payable on any income below $10 000.
Income tax had to be paid at a rate of 22% on any income between $10 000 and $30 000.
| Scheme | Marks | Comments |
|---|---|---|
| (\(\frac{1}{5}\) is $40, total amount of gift is) 40 × 5 or 40 ÷ \(\frac{1}{5}\) | M1 | Ignore $ written as £ or €, etc |
| ($)200 | A1 | ISW |
| (Amount gifted to animal charity is ¼ × 200) ($)50 | B1 | FT ¼ × ‘their 200’ correctly evaluated, provided
|
| (Gift to medical research is) ($) 200 – 40 – 50 | M1 | FT ‘their derived 200’ – 40 – ‘their 50’, provided > 0 |
| ($) 110 | A1 | FT provided both M marks previously awarded If no marks, award SC1 for (40 – 1/5 × 40 – ¼ × 40 = 40 – 8 – 10 =) ($)22 |
| 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. |
Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| (Total amount of gift is) 40 × 5 or 40 ÷ \(\frac{1}{5}\) | M1 | Ignore $ written as £ or €, etc |
| ($)200 | A1 | ISW |
| (Proportion given to medical charity) (1 – \(\frac{1}{5}\) – \(\frac{1}{4}\) = ) \(\frac{11}{20}\) or (1 – 0.2 – 0.25 =) 0.55 or (100 – 20 – 25 =) 55 (%) | B1 | Allow for proportion given to children’s and animal charity clearly shown as \(\frac{9}{20}\) , 0.45 or 45 (%) |
| (Gift to medical research is) \(\frac{11}{20}\) × 200 or 200 – \(\frac{9}{20}\) × 200 | M1 | FT ‘their incorrectly evaluated 1 – \(\frac{1}{5}\) – \(\frac{1}{4}\) ’ or ‘their incorrectly evaluated \(\frac{1}{5}\) + \(\frac{1}{4}\) as appropriate and ‘their derived 200’, provided
|
| ($) 110 | A1 | FT provided both M marks previously awarded |
The alternative method is printed in italics in the original.
| Scheme | Marks | Comments |
|---|---|---|
| Sight of 30 000 – 10 000 or 20 000 | B1 | Ignore incorrect units given throughout |
| (30 000 – 10 000) × 0.22 or 20 000 × 0.22 or equivalent | M1 | Any repeated addition method of 10% and 1% must clearly show addition to 22% |
| ($) 4400 | A1 | CAO. Mark final answer |