Higher June 2019 Paper 5 Q10
10
(a) Write \(\frac{1}{6}\) as a recurring decimal. [2]
(b) Elsa divides a two-digit number by another two-digit number.
She gets the answer \(0.1\dot{5}\).
She gets the answer \(0.1\dot{5}\).
She says that there is only one possible pair of numbers that will give this answer.
Is she correct? Show how you decide. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(0.1\dot{6}\) final answer | 2 | B1 for 0.16…. | Accept unambiguous alternate notation for the recurring decimal e.g. B1 for 0.166, 0.168, \(0.\dot{1}\dot{6}\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| She is correct oe OR She is not correct oe AND 7 [and] 45 and 14 [and] 90 or 14 [and] 90 and \(14k\) [and] \(90k\) shown | 4 | B3 for \(\frac{7}{45}\) and \(\frac{14}{90}\) or for \(\frac{14}{90}\) and \(\frac{14k}{90k}\) or B2 for \(\frac{14}{90}\) oe fraction or M1 for 1.5... [× 10n] and 15.5… [× 10n] seen | For 4 marks there must be no incorrect fractions shown Accept yes for she is correct and no for she is not correct Where \(k\) is a positive integer For B2 and B3 accept as pairs of values instead of fractions Where \(n\) is an integer e.g. allow M1 for 0.15… and 1.5… or for 15.5.. and 155.5… |