Foundation June 2018 Paper 2 Q7
7 \(e\) is 3 more than \(d\).
\(f\) is 5 less than \(d\).
(a) Write an expression for \(e\) in terms of \(d\). [1 mark]
(b) Write an expression for \(f\) in terms of \(d\). [1 mark]
(c) Work out \(\quad e - f\)
Simplify your answer. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(d + 3\) or \(3 + d\) | B1 | must be seen in (a) |
Additional guidance
| Condone \(e = d + 3\) or \(e = 3 + d\) | B1 |
| \(d = e - 3\) | B0 |
| Answer | Mark | Comments |
|---|---|---|
| \(d - 5\) | B1 | must be seen in (b) |
Additional guidance
| Condone \(f = d - 5\) | B1 |
| \(d = f + 5\) | B0 |
| Answer | Mark | Comments |
|---|---|---|
| their \((d + 3) -\) their \((d - 5)\) or \(3 - -5\) or chooses values for \(d\), \(e\) and \(f\) with \(e\) 3 more than \(d\) and \(f\) 5 less than \(d\) and subtracts \(f\) from \(e\) or chooses values for \(e\) and \(f\) with \(e\) 8 more than \(f\) and subtracts \(f\) from \(e\) | M1 | oe eg \(d + 3 - d + 5\) or \(3 + d + 5 - d\) ft their expressions in (a) and (b) if both in terms of \(d\) and at least one has a numerical term may be implied by eg \(f = e - 8\) |
| 8 | A1ft | correct or ft their expressions in (a) and (b) if both in terms of \(d\) and at least one has a numerical term |
Additional guidance
| 8 | M1A1 |
| \((d = 10,)\ e = 13\) and \(f = 5\) and \(13 - 5\) | M1 |
| Only condone missing brackets if recovered | |
| \(d + 3 - d - 5\) and no recovery | M0 |
| \(d + 3 - d - 5\) and answer 8 | M1A1 |
| \(d + 3\) in (a), \(5 - d\) in (b) and \(2d - 2\) in (c) | (B1B0)M1A1ft |
| \(3d\) in (a), \(d - 5\) in (b) and \(2d + 5\) in (c) | (B0B1)M1A1ft |
| \(3d\) in (a), \(-5d\) in (b) and \(8d\) in (c) | (B0B0)M0A0 |