Higher June 2019 Paper 1 Q20
20. Paula is baking biscuits for a charity fundraiser.
She makes biscuits in batches of 12.
Paula’s weighing scales are accurate to the nearest gram.
She needs to weigh 8 grams of baking powder to make 12 biscuits.
She has 220 grams of baking powder, correct to the nearest 10 grams.
She has plenty of all the other ingredients she needs.
She plans to sell her biscuits at £2 for a pack of 3.
What is the greatest amount of money that Paula could raise for her charity?
You must show all your working. [6]
| Scheme | Marks | Comments |
|---|---|---|
| Use of 225(g) and 7.5(g) | B1 | |
| \(225 \div 7.5\) si | M1 | FT provided \(220 \lt\) ‘their 225’ \(\leqslant 225\) and \(7.5 \leqslant\) ‘their 7.5’ \(\lt 8\); may be implied by build up method finding e.g. 225g makes 360 biscuits |
| Any non-calculator method for division of \(225 \div 7.5\) seen | M1 | e.g. \(\dfrac{2250}{75}\) or \(90 \div 3\) or build up method using 15 |
| 30 (batches of biscuits) | A1 | CAO; si; implied by 360 biscuits |
| \(30\times12\div3\times2\) oe | M1 | FT ‘their 30’ provided it has been derived using both bounds (which need to be in the ranges above); allow rounded or truncated if following through |
| (£) 240 | A1 | FT ; use of 220 and 8 scores 0 |
| (6) |