Higher June 2024 Paper 2 Q15
15 Concrete from a truck is poured at 10.9 kg per second for 30 minutes.
| 1000 kg \(=\) 1 tonne |
Is more than 20 tonnes of concrete poured?
Tick a box.
- Yes
- No
You must show your working. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1: works out concrete poured in 30 minutes | ||
| \(10.9 \times 30 \times 60 \div 1000\) or 19.6(2) or \(10.9 \times 30 \times 60\) or 19 620 and \(20 \times 1000\) or 20 000 | M3 | oe full method eg \(10.9 \times 1800 \div 1000\) or \(30 \times 654 \div 1000\) or \(19\,620 \div 1000\) M2 two correct steps eg \(10.9 \times 30 \times 60\) or 19 620 or \(10.9 \times 30 \div 1000\) or 0.327 or \(10.9 \times 60 \div 1000\) or 0.654 or \(30 \times 60 \div 1000\) or 1.8 M1 one correct step eg \(10.9 \times 30\) or 327 or \(10.9 \times 60\) or 654 or \(10.9 \div 1000\) or 0.0109 or \(30 \times 60\) or 1800 or \(30 \div 1000\) or 0.03 or \(60 \div 1000\) or 0.06 or \(20 \times 1000\) or 20 000 |
| 19.6(2) and No or 19 620 and 20 000 and No | A1 | oe eg 19.62 so it isn’t |
| Alternative method 2: works out time for 20 tonnes at given rate | ||
| \(20 \times 1000 \div 10.9 \div 60\) or [30.5, 30.6] or \(20 \times 1000 \div 10.9\) or [1834, 1835] and \(30 \times 60\) or 1800 | M3 | oe full method eg \(20\,000 \div 10.9 \div 60\) or \(20 \times [91.7, 91.74312] \div 60\) or \([1834, 1835] \div 60\) M2 two correct steps eg \(20 \times 1000 \div 10.9\) or [1834, 1835] or \(20 \times 1000 \div 60\) or 333.(…) or \(20 \div 10.9 \div 60\) or [0.0305, 0.031] or \(1000 \div 10.9 \div 60\) or [1.52, 1.53] M1 one correct step eg \(20 \times 1000\) or 20 000 or \(20 \div 10.9\) or [1.83, 1.835] or \(20 \div 60\) or 0.33(…) or \(1000 \div 10.9\) or [91.7, 91.74312] or \(1000 \div 60\) or [16.6, 16.7] or \(10.9 \times 60\) or 654 or \(30 \times 60\) or 1800 |
| [30.5, 30.6] and No or [1834, 1835] and 1800 and No | A1 | oe eg 30.6 so it isn’t |
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 | |
| M3 or M2 will usually be seen in stages eg Alt 1 \(10.9 \times 30 = 327 \quad 327 \times 60 = 19\,620 \quad 19\,620 \div 1000\) | M3 |
| M2 or M1 may be seen embedded in more than one step (extra steps could be incorrect) | |
| No may be indicated by selecting the box or a statement in the working lines | |
| No cannot be implied only by an inequality | |
| A correct value is sufficient for showing working eg Alt 1 19.62 and No | M3A1 |
| Ignore their units throughout | |
| Other approaches are possible eg works out rate in kg per s for 20 tonnes in 30 minutes and compares to 10.9 |