4MA0 Higher January 2016 Paper 3 Q3
3 Show that \(\dfrac{3}{8} \div \dfrac{7}{12} = \dfrac{9}{14}\)
(2)
| Scheme | Marks |
|---|---|
| \(\dfrac{3}{8} \times \dfrac{12}{7}\) | M1 |
| \(\dfrac{36}{56}\) oe | A1 |
| (2) |
Notes
A1: dep on M1
Accept \(\dfrac{9}{14}\) if clear cancelling seen
NB: Use of decimals gains M0 A0
Alternative
| Scheme | Marks |
|---|---|
\(\dfrac{9n}{24n} \div \dfrac{14n}{24n}\) for any integer \(n\) | M1 |
| \(\dfrac{9}{14}\) oe | A1 |
Notes
M1: Must see an intention to divide
A1: dep on M1
Answer must come directly from their method
eg. \(\dfrac{36}{96} \div \dfrac{56}{96}\) must be followed by \(\dfrac{36}{56}\)