Foundation November 2024 Paper 2 Q14
14. Daisy owns a sweet shop.
(a)
She has two rolls of liquorice.
One roll has a length of 90 cm.
The other roll has a length of 144 cm.
Daisy wants to cut these rolls into smaller pieces of equal length.
What is the maximum possible length of these smaller pieces that leaves no left over liquorice? [3]
The maximum possible length of the smaller pieces is ………… cm
(b)
Daisy has 2·5 kg jars of boiled sweets and 3 kg tubs of jelly sweets in her shop.
| Boiled sweets 2·5 kg | Jelly sweets 3 kg |
Half a kilogram of boiled sweets costs £4.25.
The total cost for one jar of boiled sweets and one tub of jelly sweets is £35.83.
What is the cost of 1 kg of jelly sweets? [4]
The cost of 1 kg of jelly sweets is …………
| Scheme | Marks | Comments |
|---|---|---|
| 18 (cm) | B3 | Answer line takes precedence. Allow for (234 ÷ 13 = ) 18 from (5x + 8x = 13x = 234 where x is the HCF) B2 for one of the following:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 Prime factors of 90: 2, 32, 5 Prime factors of 144: 24, 32 |
| Scheme | Marks | Comments |
|---|---|---|
| (4.25 × 2.5 ÷ 0.5 =) 21.25 | B1 | |
| 35.83 – 21.25 | M1 | (= 14.58) FT ‘their stated or derived 21.25’ provided less than 35.83 and not 4.25 |
| ÷ 3 | m1 | FT |
| = (£)4.86 | A1 | CAO |
| (7) |