Foundation June 2023 Paper 3 Q8
8 Three oranges have masses of 60 g, 70 g and 85 g
Show that their total mass is between \(\dfrac{1}{5}\) and \(\dfrac{1}{4}\) of a kilogram. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(60 + 70 + 85\) or 215 | M1 | |
| \(1000 \div 5\) or 200 or \(1000 \div 4\) or 250 | M1 | oe eg \(\dfrac{1}{5} \times 1000\) |
| 200 and 215 and 250 | A1 | |
| Alternative method 2 | ||
| \(60 + 70 + 85\) or 215 or \(1 \div 5\) or 0.2 or \(1 \div 4\) or 0.25 | M1 | oe do not accept \(\dfrac{1}{5}\) or \(\dfrac{1}{4}\) |
| their \(215 \div 1000\) or 0.215 or their \(215 \times 4\) or 860 or their \(215 \times 5\) or 1075 | M1dep | oe eg \(\dfrac{215}{1000}\) 0.86 implies 860 1.075 implies 1075 |
| 0.215 and 0.2 and 0.25 or 860 and 1075 and 1000 or 0.86 and 1.075 and 1 | A1 | oe decimals, percentages or fractions with a common denominator |
| Alternative method 3 | ||
| \(60 \div 1000\) or 0.06 or \(70 \div 1000\) or 0.07 or \(85 \div 1000\) or 0.085 or \(1 \div 5\) or 0.2 or \(1 \div 4\) or 0.25 | M1 | oe do not accept \(\dfrac{1}{5}\) or \(\dfrac{1}{4}\) |
| their \(0.06 +\) their \(0.07 +\) their 0.085 or 0.215 | M1dep | oe their 0.06 and their 0.07 and their 0.085 must all be from correct methods |
| 0.215 and 0.2 and 0.25 | A1 | oe decimals, percentages or fractions with a common denominator |
Additional guidance
Up to M2 may be awarded for correct work, with no answer or incorrect answer, even if this is seen amongst multiple attempts