Foundation November 2020 Paper 3 Q7
7 Point A is plotted at \((4, {}^{-}2)\) on this one-centimetre square grid.
Point A is a corner of a square with area 36 cm\(^2\).
The other corners of the square have integer coordinates and lie on the grid.
Find the coordinates for the corner of the square that is diagonally opposite point A.
You may use the grid above to help you. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(({}^{-}2, 4)\) | 3 | B1 for [a length =] 6 soi M1 for square or partial square anchored on (4, -2) and fitting entirely on the grid or two or three plots only that define a square anchored on (4, -2) or attempt \(\begin{pmatrix} 4 \\ -2 \end{pmatrix} \pm \begin{pmatrix} 6 \\ 6 \end{pmatrix}\) If 0 scored, SC1 for answer (-3, 5) or (-1, 3) or (0, 2) or (1, 1) or (2, 0) or (3, -1) or (5, -3) | e.g. line from A to \(({}^{-}2, {}^{-}2)\) or (4, 4) At least two connected sides A suitable square side 6 anchored on (4, -2) scores B1M1 Square need not be drawn some working to be seen for “attempt” e.g. \(4 - 6\) and \(-2 + 6\) |