4MA0 Foundation January 2018 Paper 1 Q9
9 Sophie makes 160 cupcakes for a charity cake stall.
30% of the cupcakes are chocolate.
\(\dfrac{3}{8}\) of the cupcakes are lemon.
The rest of the cupcakes are blueberry.
Work out the number of blueberry cupcakes Sophie makes.
(4)
| Scheme | Marks |
|---|---|
| \(0.3 \times 160\;(= 48)\) | M1 |
| \(\dfrac{3}{8} \times 160\;(= 60)\) | M1 |
| 160 − “48” − “60” | M1 |
| 52 | A1 |
| (4) |
Notes
M1: Correct method to find number of chocolate
M1: Correct method to find number of lemon
M1: dep on M2 a fully correct method to find number of blueberry
Alternative
| Scheme | Marks |
|---|---|
| \(0.3 + 0.375\;(= 0.675)\) or \((30\% + 37.5\%\;(= 67.5\%))\) | M1 |
| \(1 - \text{“}0.675\text{”}\;(0.325)\) or \(100 - 67.5\;(= 32.5(\%))\) or \(0.675 \times 160\;(= 108)\) | M1 |
| \(\text{“}0.325\text{”} \times 160\) or \(160 - \text{“}108\text{”}\) | M1 |
| 52 | A1 |
Notes
M1: Correctly writing chocolate and lemon cupcakes amounts as decimals or percentages or fractions with a common denominator
M1: implies the previous M1
M1: dep on M2 a fully correct method to find number of blueberry