Higher November 2018 Paper 1 Q5
5 Work out \(\quad 8\dfrac{1}{2} \div 2\dfrac{2}{3}\)
Give your answer as a mixed number. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(\dfrac{17}{2}\) or \(\dfrac{8}{3}\) | M1 | oe fractions |
| \(\text{their } \dfrac{17}{2} \times \text{their } \dfrac{3}{8}\) | M1 | conversion of both mixed numbers to improper fractions and multiplication of the conversion of \(8\dfrac{1}{2}\) by the reciprocal of the conversion of \(2\dfrac{2}{3}\) |
| \(\dfrac{51}{16}\) | A1 | oe fraction or decimal |
| \(3\dfrac{3}{16}\) | B1ft | oe mixed number ft correct conversion of their improper fraction to a mixed number |
| Alternative method 2 | ||
| \(\dfrac{17}{2}\) or \(\dfrac{8}{3}\) | M1 | oe fractions |
| \(\dfrac{51}{6} \div \dfrac{16}{6}\) | M1 | conversion of both mixed numbers to improper fractions, correct conversion to improper fractions with a common denominator and division of the conversion of \(8\dfrac{1}{2}\) by the conversion of \(2\dfrac{2}{3}\) |
| \(\dfrac{51}{16}\) | A1 | oe fraction or decimal |
| \(3\dfrac{3}{16}\) | B1ft | oe mixed number ft correct conversion of their improper fraction to a mixed number |
Additional guidance
| Working with decimals | 0, 3 or 4 |
| Ignore incorrect attempt to simplify a mixed number eg \(3\dfrac{3}{16} = 3\dfrac{1}{8}\) | M1M1A1B1 |
| \(3\dfrac{3}{16}\) seen, then \(\dfrac{51}{16}\) on answer line | M1M1A1B0 |
| \(\dfrac{9}{2}\) and \(\dfrac{8}{3}\), \(\qquad\) \(\dfrac{27}{6} \div \dfrac{16}{6}\), \(\qquad\) \(\dfrac{27}{16}\), \(\qquad\) \(1\dfrac{11}{16}\) | M1M1A0B1ft |
| \(\dfrac{9}{2}\) and \(\dfrac{8}{3}\), \(\qquad\) \(\dfrac{27}{6} \div \dfrac{16}{6}\), \(\qquad\) \(1\dfrac{11}{16}\) | M1M1A0B1ft |
| \(\dfrac{9}{2}\) and \(\dfrac{4}{3}\), \(\qquad\) \(\dfrac{27}{6} \div \dfrac{8}{6}\), \(\qquad\) \(\dfrac{27}{8}\), \(\qquad\) \(3\dfrac{3}{8}\) | M0M1A0B1ft |