| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Straight Lines & Coordinate Geometry |
| Type | Line intersections with axes |
| Difficulty | Easy -1.2 This is a straightforward coordinate geometry question requiring basic algebraic substitution. Part (i) involves setting y=0 and solving a simple linear equation. Part (ii) requires substituting one equation into another and solving—both are routine textbook exercises with no problem-solving insight needed, making this easier than average. |
| Spec | 1.02c Simultaneous equations: two variables by elimination and substitution1.03a Straight lines: equation forms y=mx+c, ax+by+c=0 |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| \(5x + 2(5-x) = 20\) o.e. | M1 | for subst or for multiplication to make coefficients same and appropriate addition/subtraction; condone one error |
| \(\left(\frac{10}{3}, \frac{5}{3}\right)\) www isw | A2 | or A1 for \(x = \frac{10}{3}\) and A1 for \(y = \frac{5}{3}\); o.e. isw; condone 3.33 or better and 1. or better; A1 for \((3.3, 1.7)\) |
## Question 2(ii):
| Answer/Working | Mark | Guidance |
|---|---|---|
| $5x + 2(5-x) = 20$ o.e. | M1 | for subst or for multiplication to make coefficients same and appropriate addition/subtraction; condone one error |
| $\left(\frac{10}{3}, \frac{5}{3}\right)$ www isw | A2 | or A1 for $x = \frac{10}{3}$ and A1 for $y = \frac{5}{3}$; o.e. isw; condone 3.33 or better and 1. or better; A1 for $(3.3, 1.7)$ |
---2 (i) Find the coordinates of the point where the line $5 x + 2 y = 20$ intersects the $x$-axis.\\
(ii) Find the coordinates of the point of intersection of the lines $5 x + 2 y = 20$ and $y = 5 - x$.
\hfill \mbox{\textit{OCR MEI C1 Q2 [4]}}