Numeracy Foundation November 2021 Unit 1 Q4
4. The prices for cupcakes at two different bakeries are shown below.
Carol’s Cakes
2 cupcakes for £5.00
Icing Top Cakes
3 cupcakes for £8.40
For a birthday party, Maldwyn needs 12 cupcakes.
How much will Maldwyn save by buying the 12 cupcakes from Carol’s Cakes rather than from Icing Top Cakes?
You must show all your working. [5]
| Scheme | Marks | Comments |
|---|---|---|
| Sight of 6 OR sight of 4 | B1 | May be implied in further working eg 2 is 5, 4 is 10, 6 is 15, 8 is 20, 10 is 25, 12 is 30 |
| 6 × (£)5(.00) OR 4 × (£)8.4(0) | M1 | |
| (£)30(.00) AND (£)33.6(0) | A2 | Award A1 for either (£)30(.00) OR (£)33.6(0) A1 or A2 implies all previous marks. |
| (Save) (£)3.6(0) | B1 | FT ‘their derived 33.60’ – ‘their derived 30’ provided ‘their 33.60’ > ‘their 30’ but not 8.40 – 5 = 3.40 |
Alternative method 1
| Scheme | Marks | Comments |
|---|---|---|
| (Carol’s Cakes) (£)5(.00) ÷ 2 OR (Icing Top Cakes) (£)8.4(0) ÷ 3 | M1 | |
| (£)2.5(0) AND (£)2.8(0) (per cake) | A2 | Award A1 for either (£)2.5(0) OR (£)2.8(0) |
| (Saving per cupcake=) 30(p) or (£)0.3(0) | A1 | FT ‘their derived (£)2.8(0)’ – ‘their derived (£)2.5(0)’ |
| (Save 30(p) × 12 =) (£)3.6(0) | B1 | FT ‘their 30 pence’ × 12 |
Alternative method 2
| Scheme | Marks | Comments |
|---|---|---|
| (Carol’s Cakes) (£)5(.00) ÷ 2 OR (Icing Top Cakes) (£)8.4(0) ÷ 3 | M1 | |
| (£)2.5(0) AND (£)2.8(0) (per cake) | A2 | Award A1 for either (£)2.5(0) OR (£)2.8(0) |
| 12 × (£)2.8(0) – 12 × (£)2.5(0) | M1 | FT 12 × ‘their derived (£)2.8(0)’ – 12 × ‘their derived (£)2.5(0)’ |
| (Save (£)33.6(0) - (£)30(.00) =) (£)3.6(0) | A1 |