plumiStraight lines: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.03.1 Straight lines, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 10 questions on Straight lines, as a list
- June 2025, AS Paper 1, Q8 (8 marks): 2 8 A curve with equation y x 3 x 9 x 12 has stationary points A and B. = + - - Determine the coordinates of the point where the line through A and B meets the
- June 2025, AS Paper 2, Q1 (3 marks): Determine the equation of the line that passes through the point (1, 3) and is perpendicular to the line with equation x 3 6 y 5 0 . Give your answer in the for
- June 2024, Paper 1, Q7 (10 marks): The point A has coordinates (1, 7), and the point B has coordinates (h, 10). (a) You are given that the gradient of the line AB is 2. Find the value of h. [2] (
- June 2024, AS Paper 2, Q8 (7 marks): The points A and B have coordinates (4, 8) and (6, p) respectively, where p is a positive constant and p 8 . ! (a) Find, in terms of p, the coordinates of the m
- June 2023, AS Paper 2, Q6 (10 marks): The vertices of triangle ABC are A ( 3 1 , ) , B 5 0 and ( , ) ( , ) C 9 7 . - (a) Show that AB BC . [2] = (b) Show that angle ABC is not a right angle. [2] (c)
- November 2021, Paper 2, Q5 (8 marks): In this question you must show detailed reasoning. Points A, B and C have coordinates (0, 6), (7, 5) and (6, −2) respectively. (a) Find an equation of the perpe
- November 2021, AS Paper 2, Q3 (5 marks): Sam invested in a shares scheme. The value, £V, of Sam’s shares was reported t months after investment. • Exactly 6 months after investment, the value of Sam’s
- November 2021, AS Paper 2, Q7 (9 marks): y A x O 55 4 C D –11 B 2 2 The diagram shows the circle with equation x y 6 x 9 y 19 0 and centre C. + - + + = (a) Find the following. • The coordinates of C. •
- November 2020, AS Paper 2, Q6 (6 marks): In this question you must show detailed reasoning. y x O ^ h ,3 – 2 The diagram shows the line y 3 x 7 which is a tangent to a circle with centre ( , 3 2 ) . +
- June 2018, AS Paper 1, Q8 (6 marks): In this question you must show detailed reasoning. 1 1 The lines y x and y x are tangents to a circle at (2, 1) and (-2, 1) respectively. Find the equation = =-
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