Foundation November 2023 Paper 3 Q16
16 Which is closer in value to 2.5
\[\dfrac{3}{4} \quad \text{or} \quad 4\dfrac{1}{5}\ ?\]You must show your working. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(\left(\dfrac{3}{4} =\right)\ 0.75\) or \(\left(4\dfrac{1}{5} =\right)\ 4.2\) | M1 | |
| \(2.5 - 0.75\) or 1.75 and \(4.2 - 2.5\) or 1.7 | M1dep | |
| \(4\dfrac{1}{5}\) with 1.75 and 1.7 seen | A1 | |
| Alternative method 2 | ||
| \(\left(4\dfrac{1}{5} =\right)\ \dfrac{21}{5}\) or \((2.5 =)\ \dfrac{5}{2}\) | M1 | oe improper fraction |
| \(\left(\dfrac{3}{4} =\right)\ \dfrac{15}{20}\) and \(\left(4\dfrac{1}{5} =\right)\ \dfrac{84}{20}\) and \((2.5 =)\ \dfrac{50}{20}\) | M1dep | oe with common denominators |
| \(4\dfrac{1}{5}\) with 35 and 34 seen or \(4\dfrac{1}{5}\) with \(\dfrac{35}{20}\) and \(\dfrac{34}{20}\) seen | A1 | 35 and 34 may be implied by the correct multiples of 35 and 34 dependent on the common denominator used oe with common denominators |
Additional guidance
| Condone \(4\dfrac{1}{5}\) with \((2.5 - 0.75 =)\ 1.75\) and \((2.5 - 4.2 =)\ {-1.7}\) | M1M1A1 |