Foundation January 2021 Paper 2 Q18
18
(a) On the grid, draw and label the straight line with equation
(i) \(x = 1.5\)
(ii) \(y = x\)
(iii) \(x + y = 6\) (3)
(b) Show, by shading on the grid, the region that satisfies all three of the inequalities
\(x \geqslant 1.5 \qquad\quad y \geqslant x \qquad\quad x + y \leqslant 6\)
Label the region R. (1)
\(x \geqslant 1.5 \qquad\quad y \geqslant x \qquad\quad x + y \leqslant 6\)
Label the region R. (1)
| Scheme | Marks |
|---|---|
(i)  Answer: Correct line | B1 |
| (ii) Answer: Correct line | B1 |
| (iii) Answer: Correct line | B1 |
| (3) |
Notes
B1: For \(x = 1.5\) drawn
B1: For \(y = x\) drawn
B1: For \(x + y = 6\) drawn
| Scheme | Marks |
|---|---|
| Correct region | B1 |
| (1) | |
| (4 marks) |
Notes
B1: dep on B3 for correctly shading the region R
accept unlabelled or unshaded if clear.
Shading can be ‘in’ or ‘out’.