# WMA11 Pure Mathematics 1 (P1) January 2026 Paper 01A

Pearson Edexcel International A Level WMA11 Pure Mathematics 1 (P1) past paper 01A, January 2026. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/wma11/2026-january-paper-01a/
- PDF: https://mathvsarham.com/papers/wma11/WMA11_january_2026_paper_01A_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International A Level
- Subject: WMA11 Pure Mathematics 1 (P1) (https://mathvsarham.com/past-papers/wma11/)
- Session: January 2026
- Paper: 01A
- Component code: WMA11/01A
- Time allowed: 90 minutes
- Total marks: 75
- Pages: 32

## Question paper text

Extracted automatically from the PDF; diagrams are missing and notation may be imperfect.

Question 1
In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable.
Find the set of values of x for which
(a) 4(x – 5) < 2x – 9 [2]
(b) x (2x – 5)  63 [3]
(c) 4(x – 5) < 2x – 9 and x (2x – 5)  63 [1]

Question 2
In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable.
(i) Using the laws of indices, solve the equation
[Diagram or table: see page 2 of the paper]
[3]
(ii) Solve the equation
[Diagram or table: see page 2 of the paper]
writing the answer in the form a b where a and b are integers. [4]
[Diagram or table: see page 2 of the paper]

Question 3
[Diagram or table: see page 2 of the paper]
(a) Find f ′(x), writing the answer in simplest form. [5]
(b) Hence find an equation of the tangent to the curve y = f (x) at the point (4, 25).
Write the answer in the form y = mx + c, where m and c are constants to be found. [3]

Question 4
[Diagram or table: see page 3 of the paper]
The line l_1, shown in Figure 1, has equation 2y = 3x + 8 The line l_1 intersects the y-axis at the point P and passes through the point Q with x coordinate 6
(a) Find
(i) the coordinates of P,
(ii) the coordinates of Q. [2]
The line l_2 is perpendicular to l_1 and passes through the point Q.
(b) Find an equation for l_2, writing the answer in the form ax + by + c = 0, where a, b and c are integers. [4]
The line l_2 cuts the x-axis at the point R.
(c) Find the area of quadrilateral OPQR, making the method clear. [3]

Question 5
[Diagram or table: see page 4 of the paper]
Figure 2 shows a sketch of part of the curve with equation y = f (x).
The curve crosses the y-axis at the point (0, 8).
The line with equation y = 10 is the only asymptote to the curve.
The curve has a single turning point, a minimum point at (2, 5), as shown in Figure 2.
(a) State the coordinates of the minimum point of the curve with equation y  f  1/ 4 x /
[1]
(b) State the equation of the asymptote to the curve with equation y = f (x) – 3 [1]
The curve with equation y = f (x) meets the line with equation y = k, where k is a constant, at two distinct points.
(c) State the set of possible values for k. [2]
(d) Sketch the curve with equation y = –f (x). On your sketch, show clearly the coordinates of the turning point, the coordinates of the intersection with the y-axis and the equation of the asymptote. [3]

Question 6
[Diagram or table: see page 5 of the paper]
In this question you must show all stages of your working.
Figure 3 shows the design for a shop sign ABCDA.
The sign consists of a triangle AOD joined to a sector of a circle DOBCD with radius 1.8 m and centre O.
The points A, B and O lie on a straight line.
Given that AD = 3.9 m and angle BOD is 0.84 radians,
(a) calculate the size of angle DAO, giving the answer in radians to 3 decimal places. [2]
(b) Find, in m, the length of AO giving the answer to 2 decimal places. [3]
(c) Find, in m , the area of the shop sign, giving the answer to one decimal place. [3]
(d) Find, in m, the perimeter of the shop sign, giving the answer to one decimal place. [3]

Question 7
The curve C has equation y = f (x), x > 0 where
[Diagram or table: see page 6 of the paper]
Given that the point P (9, 20) lies on C,
(a) find f (x), simplifying the answer, [5]
(b) find an equation of the normal to C at the point P, giving the answer in the form ax + by + c = 0 where a, b and c are integers. [4]

Question 8
In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable.
Find the range of values of k for which the quadratic equation
[Diagram or table: see page 6 of the paper]
has no real roots. [6]

Question 9
Given that k is a constant, 0 < k < 1, state the number of solutions of the equation
(a) sin x = k in the interval 0 < x  π
(b) tan x = k in the interval 0 < x  π
(c) cos 2x = k in the interval 0 < x  100π
(d) sin x = k + 1 in the interval –100π < x  100π [4]

Question 10
[Diagram or table: see page 7 of the paper]
Figure 4 shows a sketch of the curve C_1 with equation y = f (x) where f (x) is a cubic function in x.
The curve
• cuts the x and y axes at (–1, 0) and (0, 12) respectively
• has a minimum turning point at (4, 0)
as shown in Figure 4.
(a) Find f (x) [4]
The curve C_2 has equation y = g (x) where g (x) = 6(x + 1)(x – 2)
(b) Find the exact x coordinates of the points of intersection of curves C_1 and C_2
[Diagram or table: see page 7 of the paper]
[4]
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Thursday 8 January 2026
Morning (Time: 1 hour 30 minutes)
[Diagram or table: see page 9 of the paper]
International Advanced Subsidiary/Advanced Level Pure Mathematics P1 Answer Book
You must have:_Total_Marks Question paper (sent separately), Mathematical Formulae and Statistical Tables (Yellow), calculator
Candidates may use any calculator permitted by Pearson regulations. Calculators must not have the facility for symbolic algebra manipulation, differentiation and integration, or have retrievable mathematical formulae stored in them. Instructions Use black ink or ball‑point pen. • If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). • Fill in the boxes at the top of this page with your name, • centre number and candidate number. Answer all questions and ensure that your answers to parts of questions are • clearly labelled. Answer the questions in the spaces provided • – there may be more space than you need. You should show sufficient working to make your methods clear. Answers without • working may not gain full credit. Inexact answers should be given to three significant figures unless otherwise stated. • Information A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. • There are 10 questions in this question paper. The total mark for this paper is 75. • The marks for each question are shown in brackets • – use this as a guide as to how much time to spend on each question. Advice Read each question carefully before you start to answer it. • Try to answer every question. • Check your answers if you have time at the end. • If you change your mind about an answer, cross it out and put your new answer and • any working underneath.
Question 1
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Question 2
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Question 9
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Question 10
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