Foundation November 2020 Paper 2 Q21
21 Jill puts 440 sweets into small bags, medium bags and large bags.
She uses
30 small bags
twice as many medium bags as large bags.
There are no sweets left over.
For the number of bags, work out the ratio small : medium : large [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(30 \times 8\) or 240 | M1 | |
| \(440 -\) their 240 or 200 | M1dep | implied by 10 (medium) and 5 (large) or numbers of sweets in medium and in large totalling 200 |
| \(12m + 16l\) where \(m\) and \(l\) are integers with \(m = 2l\) or \(12 \times 2 + 16\) or 120 (sweets in medium) and 80 (sweets in large) or 10 medium or 5 large | M1 | eg \(12 \times 6 + 16 \times 3\) or \(72 + 48\) with 6 (medium) and 3 (large) shown medium or large may be implied |
| 30 : 10 : 5 | A1 | oe ratio eg 6 : 2 : 1 |
| Alternative method 2 | ||
| \(30 \times 8\) or 240 | M1 | |
| \(440 -\) their 240 or 200 | M1dep | implied by 10 (medium) and 5 (large) or numbers of sweets in medium and in large totalling 200 |
| \(12 \times 2x + 16x =\) their 200 or \(x = 5\) or \(12y + 16 \times \dfrac{1}{2}y =\) their 200 or \(y = 10\) | M1dep | oe equation in terms of large bags any letter oe equation in terms of medium bags any letter |
| 30 : 10 : 5 | A1 | oe ratio eg 6 : 2 : 1 |
Additional guidance
| Ignore incorrect simplification if 30 : 10 : 5 seen | |
| Answer 240 : 120 : 80 | M1M1M1A0 |
| Award up to M3 even if working not subsequently used |