plumiDifferentiation: Edexcel International A Level Maths questions
Every Edexcel International A Level Maths exam question on P2.7 Differentiation, 2019–2025, with its mark scheme and examiner’s report.
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All 22 questions on Differentiation, as a list
- June 2025, AS Pure 2 (P2), Q9 (11 marks): A D B C F E Figure 2 Figure 2 shows a sketch of an open container. The sides CDEF and ABFE are rectangles. The ends ADE and BCF are congruent (identical) right-
- June 2025 (A), AS Pure 2 (P2), Q10 (9 marks): O Q N M y x P R C Figure 3 In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Fi
- January 2025, AS Pure 2 (P2), Q3 (10 marks): y x 3x Figure 1 Figure 1 shows an open‑topped container used for holding water. The container is in the shape of a cuboid and is made of sheet metal. The base o
- January 2025, AS Pure 2 (P2), Q9 (12 marks): O P M R y x Figure 3 In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Figure 3
- October 2024, AS Pure 2 (P2), Q4 (7 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. The curve C has equation y x
- June 2024, AS Pure 2 (P2), Q9 (8 marks): y x k R1 P C O R2 Figure 1 Figure 1 is a sketch of the curve C with equation y = 2x 3 2 (4 – x) x 0 The point P is the stationary point of C. (a) Find, using
- June 2024 (R), AS Pure 2 (P2), Q6 (9 marks): f (x) = 4x 3 + px 2 + 8x + q where p and q are constants. Given that • (2x + 3) is a factor of f (x) • f (x) has a remainder of –5 when divided by (x + 2) (a) (
- June 2024 (R), AS Pure 2 (P2), Q10 (9 marks): y O 1 P R C x Figure 1 In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Figure
- January 2024, AS Pure 2 (P2), Q10 (9 marks): In this question you must show detailed reasoning. Solutions relying entirely on calculator technology are not acceptable. O P x R l y Figure 2 Figure 2 shows a
- October 2023, AS Pure 2 (P2), Q9 (12 marks): P (9, 40) y l C R O x Figure 3 In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable
- June 2023, AS Pure 2 (P2), Q7 (8 marks): The height of a river above a fixed point on the riverbed was monitored over a 7‑day period. The height of the river, H metres, t days after monitoring began, w
- January 2023, AS Pure 2 (P2), Q2 (9 marks): In this question you must show all stages of your working. Solutions based entirely on calculator technology are not acceptable. x cm h cm 3x cm Figure 2 A bric
- October 2022, AS Pure 2 (P2), Q7 (9 marks): The curve C has equation y x x x x x = − + − 12 7 14 13 15 21 3( ) ( ) x > 0 (a) Write the equation of C in the form y = ax 7 2 + bx 5 2 + cx 3 2 + dx 1 2 where
- June 2022, AS Pure 2 (P2), Q8 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A curve has equation y = 256x
- January 2022, AS Pure 2 (P2), Q2 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. The curve C has equation y =
- October 2021, AS Pure 2 (P2), Q8 (10 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. M l C x O R y Figure 2 Figure
- June 2021, AS Pure 2 (P2), Q9 (10 marks): l cm h cm l cm Figure 3 Figure 3 shows a sketch of a square based, open top box. The height of the box is h cm, and the base edges each have length l cm. Given
- January 2021, AS Pure 2 (P2), Q2 (7 marks): A curve has equation y = x3 − x2 − 16x + 2 (a) Using calculus, find the x coordinates of the stationary points of the curve. (b) Justify, by further calculus, t
- October 2020, AS Pure 2 (P2), Q3 (10 marks): f(x) = ax3 – x2 + bx + 4 where a and b are constants. When f(x) is divided by (x + 4), the remainder is –108 (a) Use the remainder theorem to show that 16a + b
- January 2020, AS Pure 2 (P2), Q10 (10 marks): A curve C has equation y x x k x x = − + > 4 9 0 3 where k is a constant. The point P with x coordinate 1 2 lies on C. Given that P is a stationary point of C,
- June 2019, AS Pure 2 (P2), Q5 (8 marks): A company makes a particular type of watch. The annual profit made by the company from sales of these watches is modelled by the equation P = 12x – x 3 2 – 120
- June 2019, AS Pure 2 (P2), Q10 (11 marks): y O P Q x C Figure 1 Figure 1 shows a sketch of part of the curve C with equation y = f(x) where f(x) = 36 2 x + 2x – 13 x 0 Using calculus, (a) find the range
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