plumiGraphs: Edexcel International GCSE Further Maths questions
Edexcel International GCSE Further Maths past-paper questions on 4 Graphs, 2019–2025, with mark schemes and examiner’s reports where available.
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All 36 questions on Graphs, as a list
- June 2025 (R), Paper 1, Q7 (10 marks): (a) Complete the table of values for y x 2 x x giving your answers 3 log 2 3 to 2 decimal places. x 1.3 1.5 2 2.5 3 3.5 y −3.79 −2.11 (2) (b) On the grid opposi
- June 2025 (R), Paper 2, Q10 (18 marks): The curve C has equation x 2 b 5 y x ax b a The asymptote to C that is parallel to the y-axis has equation x 4 3 1 C crosses the y-axis at the point with coordi
- June 2025, Paper 2, Q7 (10 marks): (a) Complete the table of values for y x giving your answers to log 3 4 ( ) 3 2 decimal places. x 0 0.5 1 1.5 2 2.5 3 3.5 y 4.26 4 3.63 3 2.37 (2) (b) On the gr
- June 2025, Paper 2, Q10 (17 marks): A curve C has equation x 7 x 3 y x 2 3 2 (a) Write down an equation of the asymptote to C that is (i) parallel to the y-axis (ii) parallel to the x-axis (2) (b)
- November 2024, Paper 2, Q4 (8 marks): (a) Complete the table of values for y x x giving your answers log10 6 1 to 2 decimal places. x 0.25 0.5 1 1.5 2 2.5 3 y –0.20 –0.30 –0.60 (2) (b) On the grid o
- June 2024 (R), Paper 1, Q7 (9 marks): The curve C has equation y x log4 4 (a) Using the axes below, sketch the graph of C. Label the coordinates of the points of intersection of C with the coordinat
- June 2024 (R), Paper 2, Q6 (7 marks): y 7 6 5 4 3 2 1 O x −2 −1 1 2 3 4 5 6 −1 Figure 1 Figure 1 shows part of the graph of the curve with equation y x 4 x 1 2 By drawing a suitable straight line on
- June 2024, Paper 1, Q10 (16 marks): 5 where a and b are integers and x ax 10 The curve C has equation y ≠ b b x One intersection of C with the coordinate axes is at the point with coordinates 5 4
- June 2024, Paper 2, Q4 (4 marks): y 5 4 3 2 1 x O −4 −3 −2 −1 Figure 2 x 2 1 for < x Figure 2 shows part of the curve with equation y 4 0 x 3 2 By drawing a suitable straight line on the grid, o
- June 2023 (R), Paper 1, Q4 (9 marks): x 4 (a) Complete the table of values for y 6 e x 1 2 2 giving your answers to one decimal place. x 0 1 1.5 2 3 4 5 6 y 7 2.0 3.0 4.0 (2) x (b) On the grid oppos
- June 2023 (R), Paper 2, Q9 (15 marks): 3 2 x 9 A curve C has equation y where x 6 x 6 (a) Write down an equation of the asymptote to C that is parallel to the (i) x-axis (ii) y-axis (2) (b) Find the
- June 2023, Paper 1, Q3 (5 marks): y 7 6 5 4 3 2 1 O x 1 2 3 4 5 6 7 Figure 1 x 4 Figure 1 shows part of the curve with equation y 2 in the interval 0.8 < x < 7 x 2 By drawing a suitable straight
- June 2023, Paper 2, Q10 (16 marks): The curve C with equation y = 6 − 3 x where x ≠ 4 , crosses the x-axis at the point P x − 4 and the y-axis at the point Q (a) Find the coordinates of (i) P (ii)
- January 2023 (R), Paper 2, Q4 (6 marks): y Diagram NOT accurately drawn y = p 0 3 , 2 (s, 0) O x x = –4 Figure 1 Figure 1 shows part of the curve C with equation y = 2x + q x ≠ –r x + r where q and r a
- January 2023, Paper 1, Q3 (9 marks): Curve C has equation y = ax + 3 2 where x ≠ 1 2 and a is a constant. − x 1 The asymptote to C that is parallel to the x‑axis has equation y = 4 (a) Find the val
- January 2023, Paper 1, Q7 (10 marks): (a) Complete the table of values for x 3 1 + + 2 y = 0.5 giving each value to 2 decimal places where appropriate. x –6 –5 –4 –3 –2 –1 0 y 4 3.59 3.26 2.5 (2) x
- June 2022 (R), Paper 1, Q7 (11 marks): A curve C has equation y = log10 (x + 2) (a) Using the axes below, sketch the graph of C. Label the coordinates of the points of intersection of C with the coor
- June 2022 (R), Paper 2, Q5 (7 marks): (a) Complete the table of values for y = e3x –2 giving your answers to 2 decimal places. 0 0.25 0.5 0.75 1 x y 0.14 2.72 (2) (b) On the grid opposite, draw the
- June 2022 (R), Paper 2, Q10 (18 marks): A curve C has equation x − 7 2 3 y = x ≠ x − 2 3 2 (a) Write down an equation of the asymptote to C that is (i) parallel to the y-axis, (ii) parallel to the x-a
- June 2022, Paper 1, Q6 (11 marks): (a) Complete the table of values for y = 1 + 3e–x giving your answers to 2 decimal places where appropriate. (2) 0 0.25 0.5 1 1.5 2 3 x y 3.34 2.82 1.67 1.15 (b
- January 2022 (R), Paper 1, Q9 (9 marks): (a) Complete the table of values for y = x + 3 4 5 − x giving your answers to 2 decimal places. x −2 −1.5 −1 −0.5 0 0.5 1 1.5 2 y −0.57 0.10 0.5 0.8 1.25 4 (2)
- January 2022, Paper 2, Q8 (11 marks): (a) Given that x is measured in radians, complete the table of values for y = sin x – 3 cos 2x – 0.5 Give your answers to one decimal place. x 0 0.5 0.8 1 1.6 2
- January 2022, Paper 2, Q10 (18 marks): The curve C has equation y = 2 x − 1 x ≠ –4 x + 4 (a) Write down an equation of the asymptote to C that is (i) parallel to the x-axis, (ii) parallel to the y-ax
- November 2021, Paper 2, Q3 (7 marks): y x = 3 Diagram NOT 2 accurately drawn 5 4 0 , O x (0, p) Figure 1 Figure 1 shows a sketch of the curve with equation y = a - bx x ≠ d cx - d c where a, c and d
- November 2021, Paper 2, Q8 (9 marks): (a) Complete the table of values for y = 2x + 3 x – 3 giving your answers to 2 decimal places 2 where appropriate. x 0.5 0.75 1 1.5 2 3 4 5 y 10 2 5.19 7.12 (2)
- June 2021, Paper 1, Q3 (10 marks): A curve C has equation y = ax − 3 5 where a is a constant and x ≠ –5 x + The gradient of C at the point on the curve where x = 2 is 18 49 (a) Show that a = 3 (3
- June 2021, Paper 2, Q7 (9 marks): x 4 + 2 7 (a) Complete the table of values for y = 3 Give your answers to 2 decimal places where appropriate. (2) x 0 1 2 3 4 5 y 3 3.32 5.95 (b) On the grid op
- November 2020 (R), Paper 1, Q2 (11 marks): (a) Express x2 + 4x − 8 in the form (x + a)2 + b where a and b are constants whose values are to be found. (2) (b) Use algebra to solve the simultaneous equatio
- November 2020 (R), Paper 2, Q4 (11 marks): (a) Complete the table of values for y = 2x + 1 + 2 2x Give your answers to 2 decimal places where appropriate. x 0.5 1 1.5 2 2.5 3 3.5 y 5 6.32 8.16 (2) (b) On
- November 2020, Paper 1, Q4 (7 marks): y 6 5 4 3 2 1 O 1 2 3 4 x Figure 2 + 5 Figure 2 shows the graph of y 2 for 1 x 4 drawn on a grid. = x x (a) By drawing a suitable straight line on the grid, obt
- November 2020, Paper 2, Q9 (18 marks): A curve C has equation 2 + 4 x − x 2 1 y = x ≠− 2 x + 1 2 (a) Write the equation of C in the form ax2 + (by – 4)x + (y – c) = 0, where a, b and c are integers w
- January 2020 (R), Paper 1, Q6 (9 marks): (a) Complete the table of values for y = x – 3 x 2 giving your answers to one decimal place where appropriate. x 0.5 1 1.5 2 3 4 5 6 y –11.5 1.3 2.7 5.9 (2) (b)
- January 2020 (R), Paper 2, Q11 (14 marks): x − 3 2 11 The curve C has equation y = x + 1 (a) Write down an equation of the asymptote to C which is parallel to the (i) x-axis (ii) y-axis (2) (b) Find the
- January 2020, Paper 2, Q9 (16 marks): A curve C has equation 2 x ≠ p y = qx − x − p The curve crosses the y‑axis at the point A. The line l with equation y = x + 2 is the normal to C at A. (a) (i) S
- June 2019 (R), Paper 1, Q8 (11 marks): (a) Complete the table of values for y = 2 + ln (2x + 1) giving your answers to 2 decimal places. (2) x 0 0.25 0.5 1 1.5 2 3 y 2 3.10 3.39 (b) On the grid oppos
- June 2019 (R), Paper 2, Q2 (4 marks): y x í Diagram NOT accurately drawn S O 4 x y í Figure 1 Figure 1 shows part of the curve S with equation y = ax b + where a, b and c are x c + integers. The asy
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