Higher June 2017 Paper 3 Q6
6 The density of apple juice is 1.05 grams per cm³.
The density of fruit syrup is 1.4 grams per cm³.
The density of carbonated water is 0.99 grams per cm³.
25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and 280 cm³ of carbonated water to make a drink with a volume of 320 cm³.
Work out the density of the drink.
Give your answer correct to 2 decimal places. (4)
| Answer | Mark | Notes |
|---|---|---|
| 1.01 | P1 | fruit syrup \(15 \times 1.4\ (= 21)\) or water \(280 \times 0.99\ (= 277.2)\) or apple juice \(25 \times 1.05\ (= 26.25)\) |
| P1 | (dep P1) for complete process to find the total mass e.g. \(\text{``}277.2\text{''} + \text{``}26.25\text{''} + \text{``}21\text{''}\ (= 324.45)\) or a weighted density eg \(15 \times 1.4 \div 320\ (= 0.065625)\) or \(280 \times 0.99 \div 320\ (= 0.86625)\) or \(25 \times 1.05 \div 320\ (= 0.08203125)\) | |
| P1 | (dep P2) for complete process to find the density eg \(\text{``}324.45\text{''} \div 320\ (=1.01..)\) or \(\text{``}0.065625\text{''} + \text{``}0.86625\text{''} + \text{``}0.08203125\text{''}\ (= 1.0139..)\) | |
| A1 | 1.01 to 1.014 |