Higher June 2022 Paper 2 Q7
7 Sam types a constant number of words per minute.
He takes 8 minutes to type a report of 416 words.
How long does it take him to type an essay of 1534 words?
Give your answer in minutes and seconds. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 Words per minute or words per second | ||
| \(416 \div 8\) or 52 | M1 | oe eg \(416 \div (8 \times 60)\) or \(416 \div 480\) or \(\dfrac{13}{15}\) or [0.86, 0.87] or 0.9 |
| \(1534 \div\) their 52 or \((1534 - 416) \div\) their \(52 + 8\) or 29.5 | M1dep | oe eg \(1534 \div\) their [0.86, 0.87] or \((1534 - 416) \div\) their [0.86, 0.87] \(+ 8 \times 60\) or 1770 |
| 29 minutes 30 seconds | A1 | SC2 29 minutes 50 seconds or 29 minutes 5 seconds |
| Alternative method 2 Minutes per word or seconds per word | ||
| \(8 \div 416\) or \(\dfrac{1}{52}\) or [0.019, 0.019 231] or 0.02 | M1 | oe eg \(8 \times 60 \div 416\) or \(480 \div 416\) or \(\dfrac{15}{13}\) or [1.15, 1.154] or 1.2 |
| \(1534 \times\) their [0.019, 0.019 231] or \((1534 - 416) \times\) their [0.019, 0.019 231] \(+ 8\) or 29.5 | M1dep | oe eg \(1534 \times\) their [1.15, 1.154] or \((1534 - 416) \times\) their [1.15, 1.154] \(+ 8 \times 60\) or 1770 |
| 29 minutes 30 seconds | A1 | SC2 29 minutes 50 seconds or 29 minutes 5 seconds |
| Alternative method 3 Essay words \(\div\) report words | ||
| \(1534 \div 416\) or \(\dfrac{59}{16}\) or [3.68, 3.69] or 3.7 or \((1534 - 416) \div 416\) or [2.68, 2.69] or 2.7 | M1 | oe |
| \(8 \times\) their [3.68, 3.69] or \(8 \times\) their [2.68, 2.69] \(+ 8\) or 29.5 | M1dep | oe eg \(8 \times 60 \times\) their [3.68, 3.69] or \(8 \times 60 \times\) their [2.68, 2.69] \(+ 8 \times 60\) or 1770 |
| 29 minutes 30 seconds | A1 | SC2 29 minutes 50 seconds or 29 minutes 5 seconds |
Additional guidance
| M1 may be awarded for correct work with no, or incorrect answer, even if this is seen amongst multiple attempts | |
| Answer 29.5 minutes 1770 seconds | M1M1A0 |
| Build-up method must be a fully correct method that would lead to 29.5 | |
| If working with report words \(\div\) essay words apply the principles of Alt 3 |