OCR MEI C1 2010 January — Question 3 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2010
SessionJanuary
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStraight Lines & Coordinate Geometry
TypeLine intersections with axes
DifficultyEasy -1.2 This is a straightforward coordinate geometry question requiring basic algebraic manipulation. Part (i) involves substituting y=0 into a linear equation (routine procedure), and part (ii) requires solving simultaneous equations by substitution (standard technique with minimal steps). Both parts are simpler than typical A-level questions as they test only fundamental skills without any problem-solving or geometric insight.
Spec1.02c Simultaneous equations: two variables by elimination and substitution1.03a Straight lines: equation forms y=mx+c, ax+by+c=0

3
  1. Find the coordinates of the point where the line \(5 x + 2 y = 20\) intersects the \(x\)-axis.
  2. Find the coordinates of the point of intersection of the lines \(5 x + 2 y = 20\) and \(y = 5 - x\).

3 (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 2010 Q3 [4]}}