1MA0 Higher June 2013 Paper 2 Q7
7 Colin, Dave and Emma share some money.
Colin gets \(\dfrac{3}{10}\) of the money.
Emma and Dave share the rest of the money in the ratio 3 : 2
What is Dave’s share of the money? (4)
| Answer | Mark | Notes |
|---|---|---|
| 28% or \(\dfrac{14}{50}\) | 4 | M1 for \(100 - 30\) (= 70) or \(1 - \dfrac{3}{10}\) \(\left(= \dfrac{7}{10}\right)\) M1 for “70” \(\div (3 + 2)\) (= 14) or \(\text{``}\dfrac{7}{10}\text{''} \div (3 + 2)\) \(\left(= \dfrac{7}{50}\right)\) M1 for “14” × 2 or \(\dfrac{7}{50} \times 2\) A1 for 28% or \(\dfrac{14}{50}\) oe OR M1 for a correct method to find (100-30)% of any actual sum of money M1 for “350” \(\div (3 + 2)\) (= 70) M1 for “70” × 2 A1 for 28% or \(\dfrac{14}{50}\) oe OR M1 for starting with two numbers in ratio 3:2, eg 21 and 14 M1 for equating sum of their numbers to 100 – 30 (=70%), eg ‘21’ + ‘14’ (=35) M1 for scaling sum of their numbers to 100%, eg ‘35’÷70×100 (=50) A1 for 28% or \(\dfrac{14}{50}\) oe SC: award B3 for oe answers expressed in an incorrect form eg \(\dfrac{2.8}{10}\) |