| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Straight Lines & Coordinate Geometry |
| Type | Line intersections with axes |
| Difficulty | Moderate -0.8 This question tests basic coordinate geometry: rearranging a linear equation to find gradient (routine manipulation) and using parallel line properties with y-intercept form. Both parts are standard textbook exercises requiring only direct application of formulae with minimal problem-solving, making it easier than average for A-level. |
| Spec | 1.03a Straight lines: equation forms y=mx+c, ax+by+c=01.03b Straight lines: parallel and perpendicular relationships |
| Answer | Marks |
|---|---|
| 5 | (i) −4/5 or −0.8 o.e. |
| (iiii)) (15, 0) or 15 found | 2 |
| 3 | M1 for 4/5 or 4/−5 or 0.8 or −4.8/6 or |
| Answer | Marks |
|---|---|
| within 2mm of (15, 0) | 5 |
Question 5:
5 | (i) −4/5 or −0.8 o.e.
(iiii)) (15, 0) or 15 found | 2
3 | M1 for 4/5 or 4/−5 or 0.8 or −4.8/6 or
correct method using two points on the
line (at least one correct) (may be
graphical) or for −0.8x o.e.
M1 for y = their (i) x + 12 o.e. or 4x + 5y
= k and (0, 12) subst and M1 for using y
= 0 eg −12 = −0.8x or ft their eqn
or M1 for given line goes through (0,
4.8) and (6, 0) and M1 for 6 × 12/4.8
graphical soln: allow M1 for correct
required line drawn and M1 for answer
within 2mm of (15, 0) | 5\begin{enumerate}[label=(\roman*)]
\item Find the gradient of the line $4x + 5y = 24$. [2]
\item A line parallel to $4x + 5y = 24$ passes through the point $(0, 12)$. Find the coordinates of its point of intersection with the $x$-axis. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 Q5 [5]}}