Higher November 2022 Paper 1 Q8
8 Work out \(\quad \left(\dfrac{7}{10} - \dfrac{4}{15}\right) \div \dfrac{2}{3}\)
Give your answer as a fraction. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Valid common denominator for subtraction with at least one numerator correct | M1 | eg \(\dfrac{21}{30} - \dfrac{8}{30}\) or \(\dfrac{13}{30}\) or \(\dfrac{105}{150} - \dfrac{40}{150}\) or \(\dfrac{65}{150}\) condone decimals in numerator(s) |
| their \(\dfrac{13}{30} \times \dfrac{3}{2}\) or \(\dfrac{\text{their } 13 \div 2}{\text{their } 30 \div 3}\) | M1 | oe product their \(\dfrac{13}{30}\) can be any single fraction, mixed number or decimal other than their \(\dfrac{13}{30}\) inverted or \(\dfrac{7}{10}\) or \(\dfrac{4}{15}\) condone decimals in numerator(s) correct answer not in correct fraction form eg \(\dfrac{6.5}{10}\) scores M1M1 |
| \(\dfrac{13}{20}\) or \(\dfrac{39}{60}\) | A1 | oe fraction SC2 \(\dfrac{29}{20}\) oe fraction or mixed number |
Additional guidance
| If 10 or 15 is used as the common denominator, both numerators must be correct for the first mark | |
| Correct fraction in working with incorrectly simplified fraction on answer line | M2A1 |
| Correct fraction in working with conversion to decimal on answer line | M2A0 |
| \(\dfrac{65}{150} \div \dfrac{2}{3} = \dfrac{32}{50}\) | M1M0A0 |
| \(\dfrac{65}{150} \div \dfrac{2}{3} = \dfrac{32.5}{50}\) with no further working | M1M1A0 |