Question 5 - A-Level Maths

OCR MEI C1 — Question 5 4 marks

Exam Board	OCR MEI
Module	C1 (Core Mathematics 1)
Marks	4
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Straight Lines & Coordinate Geometry
Type	Intersection of two lines
Difficulty	Moderate -0.8 This is a straightforward simultaneous equations problem requiring substitution of one linear equation into another and basic algebraic manipulation. It's slightly easier than average because it's a standard two-equation system with no complications, requiring only routine techniques that students practice extensively.
Spec	1.02c Simultaneous equations: two variables by elimination and substitution

Find the coordinates of the point of intersection of the lines \(y = 3x - 2\) and \(x + 3y = 1\). [4]

Show mark scheme Show mark scheme source

Question 5:

Answer	Marks
5	substitution to eliminate one variable

simplification to ax = b or ax  b = 0 form,

or equivalent for y

Answer	Marks
(0.7, 0.1) oe or x = 0.7, y = 0.1 oe isw	M1

M1

A2

Answer	Marks
[4]	or multiplication to make one pair of

coefficients the same;

condone one error in either method

or appropriate subtraction / addition;

condone one error in either method

Answer	Marks
A1 each	independent of first M1

Question 5:
5 | substitution to eliminate one variable
simplification to ax = b or ax  b = 0 form,
or equivalent for y
(0.7, 0.1) oe or x = 0.7, y = 0.1 oe isw | M1
M1
A2
[4] | or multiplication to make one pair of
coefficients the same;
condone one error in either method
or appropriate subtraction / addition;
condone one error in either method
A1 each | independent of first M1

Show LaTeX source

Find the coordinates of the point of intersection of the lines $y = 3x - 2$ and $x + 3y = 1$. [4]

\hfill \mbox{\textit{OCR MEI C1  Q5 [4]}}

This paper (11 questions)

View full paper

Q1 2 Q2 5 Q3 12 Q4 4 Q5 4 Q6 5 Q7 3 Q8 4 Q9 4 Q10 3 Q11 3