Foundation June 2018 Paper 1 Q24
24 A pattern is made from four identical squares.
The sides of the squares are parallel to the axes.
Point \(A\) has coordinates \((6, 7)\)
Point \(B\) has coordinates \((38, 36)\)
Point \(C\) is marked on the diagram.
Work out the coordinates of \(C\). (5)
| Answer | Mark | Mark scheme |
|---|---|---|
| (22, 20) | P1 | for process to find width or height of diagram eg \(38 - 6\ (= 32)\) or \(36 - 7\ (= 29)\) |
| P1 | for process to find length of side of square eg \(\text{``}32\text{''} \div 4\ (= 8)\) or process to find half width of diagram eg \(\text{``}32\text{''} \div 2\ (= 16)\) | |
| P1 | for process to find \(x\) coordinate eg \(6 + 2 \times \text{``}8\text{''}\ (= 22)\) or \(6 + \text{``}16\text{''}\ (= 22)\) or \((6 + 38) \div 2\ (= 22)\) | |
| P1 | for process to find \(y\) coordinate eg \(36 - 2 \times \text{``}8\text{''}\ (= 20)\) or \(36 - \text{``}16\text{''}\ (= 20)\) or \(7 + 8 + \text{``}29\text{''} - 3 \times \text{``}8\text{''}\) (= 20) | |
| A1 | cao SC: award 4 marks for (20, 22) |
Additional guidance
Figures may be shown on the diagram
If \((6 + 38) \div 2\) leads to an answer other than 22, award P2 only
Award for P3 for \((22, y)\) or \((x, 20)\) or \(x = 22\) or \(y = 20\)