Coordinate geometry in the (x, y) plane: Edexcel International A Level Maths questions

Every Edexcel International A Level Maths exam question on P1.2 Coordinate geometry in the (x, y) plane, 2019–2025, with its mark scheme and examiner’s report.

All 18 questions on Coordinate geometry in the (x, y) plane, as a list

June 2025, AS Pure 1 (P1), Q5 (7 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. The line l1 has equation x – 2y + 25 =
June 2025 (A), AS Pure 1 (P1), Q8 (9 marks): y x –6 –3 C l (2, 18) O R Figure 3 Figure 3 shows a sketch of a line l and a quadratic curve C. Given that l passes through (–3, 0) and (2, 18) (a) find an equa
January 2025, AS Pure 1 (P1), Q2 (5 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. Given that • the point A has coordinat
October 2024, AS Pure 1 (P1), Q1 (6 marks): The line l1 passes through the point A(–5, 20) and the point B(3, –4). (a) Find an equation for l1 giving your answer in the form y = mx + c, where m and c are
June 2024, AS Pure 1 (P1), Q9 (9 marks): Given that • the point A has coordinates (4, 2) • the point B has coordinates (15, 7) • the line l1 passes through A and B (a) find an equation for l1, giving y
June 2024 (R), AS Pure 1 (P1), Q7 (10 marks): y x A D C B O l1 l2 Figure 2 The straight line l1 shown in Figure 2 has equation 5y = 2x + 10 The points A and B lie on l1 such that • point A lies on the y-axi
January 2024, AS Pure 1 (P1), Q5 (10 marks): P Q R O x y l1 l2 Figure 1 In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. The straigh
June 2023, AS Pure 1 (P1), Q7 (6 marks): O R1 R2 x y y = kx y = 2 x = a y = 10 – 2x Figure 2 The region R1 , shown shaded in Figure 2, is defined by the inequalities 0  y  2 y  10 – 2x y  kx where
June 2023, AS Pure 1 (P1), Q10 (10 marks): C P O l1 l2 x y Figure 5 Figure 5 shows a sketch of the quadratic curve C with equation y = – 1 4 (x + 2)(x – b) where b is a positive constant The line l1 also
January 2023, AS Pure 1 (P1), Q2 (5 marks): The points P, Q and R have coordinates (–3, 7), (9, 11) and (12, 2) respectively. (a) Prove that angle PQR = 90° Given that the point S is such that PQRS forms
June 2022, AS Pure 1 (P1), Q5 (9 marks): The curve C has equation y = f(x) Given that • f(x) is a quadratic expression • the maximum turning point on C has coordinates (−2, 12) • C cuts the negative x-
January 2022, AS Pure 1 (P1), Q8 (9 marks): The line l1 has equation 2x – 5y + 7 = 0 (a) Find the gradient of l1 Given that • the point A has coordinates (6, –2) • the line l2 passes through A and is perp
October 2021, AS Pure 1 (P1), Q5 (8 marks): The line l1 has equation 3y – 2x = 30 The line l2 passes through the point A(24, 0) and is perpendicular to l1 Lines l1 and l2 meet at the point P (a) Find, usi
June 2021, AS Pure 1 (P1), Q7 (10 marks): E l2 1.8 rad B D x y l1 C O Figure 3 The line l1 has equation 4y + 3x = 48 The line l1 cuts the y-axis at the point C, as shown in Figure 3. (a) State the y coo
January 2021, AS Pure 1 (P1), Q4 (8 marks): O x y P Q C R l Figure 2 The points P and Q, as shown in Figure 2, have coordinates (–2, 13) and (4, –5) respectively. The straight line l passes through P and
October 2020, AS Pure 1 (P1), Q6 (11 marks): The point A has coordinates (–4, 11) and the point B has coordinates (8, 2). (a) Find the gradient of the line AB, giving your answer as a fully simplified frac
January 2020, AS Pure 1 (P1), Q6 (8 marks): The line l1 has equation 3x – 4y + 20 = 0 The line l2 cuts the x-axis at R(8,0) and is parallel to l1 (a) Find the equation of l2, writing your answer in the fo
January 2019, AS Pure 1 (P1), Q3 (5 marks): The line l1 has equation 3x + 5y − 7 = 0 (a) Find the gradient of l1 The line l2 is perpendicular to l1 and passes through the point (6, −2). (b) Find the equat

Questions, mark schemes and examiner’s reports are © Pearson Edexcel, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every Edexcel International A Level Maths paper.

Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.

1,251 questions