Higher June 2022 Paper 2 Q2
2
(a) On the grid, draw and label with its equation the straight line with equation
(i) \(y = 1\) (ii) \(x = 2\) (iii) \(x + y = 7\) (3)
(i) \(y = 1\) (ii) \(x = 2\) (iii) \(x + y = 7\) (3)
(b) Show, by shading on the grid, the region that satisfies all three of the inequalities
\[y \geqslant 1 \qquad x \geqslant 2 \qquad x + y \leqslant 7\]Label the region R. (1)
\[y \geqslant 1 \qquad x \geqslant 2 \qquad x + y \leqslant 7\]Label the region R. (1)
| Scheme | Marks |
|---|---|
 Line length 2cm + but shaded area must be enclosed for the mark in (b) | B1 |
| B1 | |
| B1 | |
| (3) |
Notes
B1: \(y = 1\) drawn
B1: \(x = 2\) drawn
B1: \(x + y = 7\) drawn
Allow dashed lines or solid lines for graphs
condone lack of labels if unambiguous
| Scheme | Marks |
|---|---|
| B1 | |
| (1) | |
| (4 marks) |
Notes
B1: correct region indicated – shaded in or out – labelled R or clear intention to be the required region
(ft only for one vertical line, one horizontal line and one line with a negative gradient)