Higher November 2020 Paper 5 Q3
3
(a) The ratio 45 minutes to 3 hours 45 minutes can be written in the form \(1 : n\).
Find the value of \(n\). [2]
(b) Reece and Sarah share some money in the ratio 9 : 16.
Reece says that Sarah gets more than 60% of this money.
Show that Reece is correct. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 5 | 2 | B1 for 225 [ min] or for 0.75 and 3.75 oe seen | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{9}{9 + 16}\) [x \(k\)] or \(\frac{16}{9 + 16}\) [x \(k\)] oe or better | M1 | or [60% =] 0.6 oe | Where \(k\) is a chosen value |
| Correct method to convert their fraction to a percentage or a fraction with 100 as denominator or a decimal or correct method for 60% of 25 | M1 | or 0.6 × \(k\) oe | implied by 64, 0.64, \(\frac{64}{100}\), 15 and all imply previous M1 \(k\) is same value as used previously. Same \(k\) must be used in both parts to get this second mark |
| 64[%] or 15 or a pair of other correctly calculated comparative values with a correct conclusion and no error seen | A1 | eg 64 > 60 64%, so Reece is correct | accept 0.64 and 0.6[0], \(\frac{64}{100}\) and \(\frac{60}{100}\) or equivalent fractions with same denominator or with correctly evaluated values from using \(k\) |