Foundation June 2024 Paper 2 Q15
15 Compost is used to grow plants.
Ivan has a sack containing 50 litres of compost.
He uses this compost to fill pots for his plants.
Work out how much compost is left in the sack. [2]
Work out the maximum number of small pots Ivan can fill with the remaining compost. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 5 | 2 | M1 for \(6 \times 7.5\) oe | M1 implied by 45 Repeated addition, we must see their method, allow one arithmetic error. e.g. 7.5, 15 then \(15 \times 3\) [=45] |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 12 | 3 | B2 for 12.5 or M2 for their (a) \(\times 1000 \div 400\) or their (a) \(\div\) [0].4 or M1 for their (a) \(\times\) 1000 or \(400 \div 1000\) or their (a) \(\div\) figs 4 | their (a) must be \(\gt\) 0.4 M2 implied by repeated addition or subtraction to one less than their (a) or their (a) \(\times\) 1000 see appendix If their (a) \(\lt\) 1.2 then all multiples must be seen |
Appendix
Repeated Addition/Subtraction Methods
This is when division is attempted by listing multiples of a number or by repeated subtraction.
e.g. \(3000 \div 400\)
Repeat Addition: 400, 800, 1200, 1600, 2000, 2400, 2800, [3200]
When marking this we need to see at least 3 correct multiples, one of these MUST be the number before reaching the value, in this case 2800.
We allow ONLY one arithmetic error in this method (unless the mark scheme states otherwise)
Example 1:
400, 800, 1100 (error), 1500, 1900, 2300, 2700, [3100] – one arithmetic error, but correct FT from the error so M1 awarded.
Example 2:
400, 800, 1100 (error), 1500, 1800 (error), 2200, 2600, [3000] – two arithmetic errors, so M0 awarded.
e.g. \(400 \div 60\)
Repeat Subtraction: 400, 340, 280, 220, 160, 100, 40, [\(-20\)]
When marking this we need to see at least 3 correct subtractions, one of these MUST be the number before reaching 0.
We allow ONLY one arithmetic error in this method (unless the mark scheme states otherwise)
Example 1:
400, 340, 280, 200 (error), 140, 80, 20, [\(-40\)] – one arithmetic error, but correct FT from the error so M1 awarded.
Example 2:
400, 320(error), 260, 210 (error), 150, 90, 30, [\(-30\)] – two arithmetic errors, so M0 awarded.
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 200 | 2 | B2FT for their (a) \(\times 1000 -\) their (b) \(\times\) 400 evaluated correctly or M1 their (a) \(\times 1000 -\) their (b) \(\times\) 400 | their (a) must be \(\gt\) 0.4 their (a) \(\times 1000 \geqslant\) their (b) \(\times\) 400 their (b) must be an integer. Implied by repeated subtraction or addition. Working may be seen in part (b) for M1 |