Foundation June 2025 Paper 3 Q8
8
The student takes 16 from the number and then divides by 4.
The answer is 8.
What number is the student thinking of? [2]
150% of the number is 36.
What number is the teacher thinking of? [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 48 | 2 | M1 for \(4 \times 8\) or for \(x \to -16 \to \div 4 = 8\) oe or for \(\dfrac{x - 16}{4} = 8\) | M1 may be implied by 32 or \((48 - 16) \div 4\ [= 8]\) Flow diagram may be reversed Accept any letter for \(x\) May be \((x - 16) \div 4 = 8\) Do not allow missing brackets |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 24 | 2 | M1 for correct method reaching figs(24 or 12) e.g. \(\dfrac{36}{1.5}\) or \(\dfrac{36}{150}\) or \(\dfrac{36}{3}\) | See appendix for non-calculator methods |
Appendix
Non Calculator methods for percentages.
Labels only
This is when labels such as 10% = are used.
If only labels are used the final answer scores full marks if it is correct.
Condone a numerical slip if the answer is correct.
If there is an error in the values and so the final answer is incorrect this cannot score method marks
e.g. Find 65% of 80
| Method scoring M1A1 | 10% = 8 5% = 4 50% = 40 65% = 52 ✓ M1A1 | 10% = 8 5% = 5 ✖ condone this slip as answer correct 50% = 40 65% = 52 ✓ M1A1 |
| Method scoring M0A0 | 10% = 8 5% = 6 ✖ Do not condone this slip as answer incorrect 50% = 40 65% = 54 ✖ M0 |
Build up method
This is where the candidate finds the percentages to build up to the required value but shows the operations used.
e.g. Find 65% of 80
10% = \(80 \div 10 = x\)
5% = \(x \div 2 = y\)
50% = \(x \times 5 = z\)
65% = \(x + z + y\)
Because the operations have been shown and they are correct, if there is an error in one of \(x\), \(y\) or \(z\), method marks can still be earned