Foundation November 2018 Paper 2 Q7
7 Line \(AB\) is shown on the grid.
\(A\) is the point \((0, 2)\)
\(B\) is the point \((6, 5)\)
(a) Work out the coordinates of the midpoint of the line \(AB\). [1 mark]
(b) \(C\) is another point on \(AB\).
\(C\) is closer to \(B\) than to \(A\).
The coordinates of \(C\) are whole numbers.
Work out the coordinates of \(C\). [1 mark]
(c) On the grid above, draw a line from point \((0, 0)\) that is
parallel to \(AB\)
and
two thirds as long as \(AB\).
| Answer | Mark | Comments |
|---|---|---|
| \((3, 3.5)\) or \(\left(3, 3\dfrac{1}{2}\right)\) | B1 |
Additional guidance
| A comma used as a decimal point ie (3, 3,5) | B1 |
| (03, 03.5) | B1 |
| (0,3, 0,3.5) | B0 |
| Answer | Mark | Comments |
|---|---|---|
| \((4, 4)\) | B1 |
Additional guidance
| (04, 04) | B1 |
| (0,4, 0,4) | B0 |
| Answer | Mark | Comments |
|---|---|---|
| Line from \((0, 0)\) to \((4, 2)\) | B2 | B1 line from \((0, 0)\) to \((4, 2)\) with slight inaccuracy or line parallel to \(AB\) from any point which extends across at least two horizontal squares |
Additional guidance
| Parallel line that extends beyond the grid | B1 |
| Line drawn that is completely off the grid | B0 |
| Use the full length of the line to judge accuracy – there should be no gap between their line and the relevant integer points | |
| Mark intention for straightness | |
| Ignore other lines that could be working for parts (a) and (b) |