Foundation November 2018 Paper 1 Q9
9 Liu wants to decorate some cakes with shapes.
She has 140 shapes.
Each shape is a star or a heart.
The ratio of the number of stars : number of hearts is 4 : 3.
She wants to put 5 stars and 4 hearts on each cake.
How many cakes can Liu decorate?
Show full working to support your answer. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 15 with correct supporting working | 5 | M1 for 140 \(\div\) 7 soi by 20 M1 for 4 \(\times\) their 20 and 3 \(\times\) their 20 soi by 80 and 60 M1 for their 80 \(\div\) 5 or their 60 \(\div\) 4 A1 for 16 and 15 or M1 for 140 \(\div\) 9 soi by 15.5 M1 for 15 \(\times\) 5 and 15 \(\times\) 4 soi by 75 and 60 M1 for 140 \(\div\) 7 soi by 20 M1 for 4 \(\times\) their 20 and 3 \(\times\) their 20 soi by 80 and 60 SC1 for 15 without working | Accept correct alternative methods their 20 must come from a division of 140 15 from incorrect working scores 0 |