# WMA11 Pure Mathematics 1 (P1) Oct/Nov 2025 Paper 01A

Pearson Edexcel International A Level WMA11 Pure Mathematics 1 (P1) past paper 01A, Oct/Nov 2025. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/wma11/2025-oct-nov-paper-01a/
- PDF: https://mathvsarham.com/papers/wma11/WMA11_oct-nov_2025_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: Oct/Nov 2025
- 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
[Diagram or table: see page 2 of the paper]
In this question you must show all stages of your working.
[Diagram or table: see page 2 of the paper]
Figure 1 shows a sketch of a triangle LMN and a sketch of a triangle PQR.
Triangle LMN is an equilateral triangle with sides (x + 7) cm.
Triangle PQR is a right-angled isosceles triangle with PQ = PR = 2x cm and angle QPR = 90°
(a) Find, in its simplest form in terms of x, the length QR. [2]
Given that the perimeter of triangle LMN is equal to the perimeter of triangle PQR,
(b) find the value of x, writing your answer in the form a 2 + b , where a and b are integers. [5]

Question 2
In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable.
A curve has equation
[Diagram or table: see page 3 of the paper]
(a) Find, in simplest form, dy/dx [3]
(b) Hence find the range of values for x such that
[Diagram or table: see page 3 of the paper]
[4]

Question 3
In this question you must show all stages of your working.
[Diagram or table: see page 3 of the paper]
[5]

Question 4
[Diagram or table: see page 4 of the paper]
Figure 2 shows the points P, Q and R.
Points P and Q have coordinates (–1, 4) and (4, 7) respectively.
(a) Find an equation for the straight line passing through points P and Q.
Give your answer in the form ax + by + c = 0 where a, b and c are integers. [3]
The point R has coordinates ( p, –3), where p is a positive constant.
Given that angle QPR = 90°,
(b) find the value of p.
(Solutions relying on calculator technology are not acceptable.) [3]

Question 5
Find
[Diagram or table: see page 5 of the paper]
writing the answer in its simplest form. [5]

Question 6
In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable.
The equation
[Diagram or table: see page 5 of the paper]
where k is a real constant, has no real roots.
Find the range of possible values for k. [7]

Question 7
[Diagram or table: see page 6 of the paper]
Figure 3 shows the design for a company logo.
The design consists of a triangle ABE joined to a sector BCDE of a circle with radius 6 cm and centre E. The line AE is perpendicular to the line DE and the length of AE is 9 cm.
The size of angle DEB is 3.5 radians, as shown in Figure 3.
(a) Find the length of the arc BCD. [2]
Find, to one decimal place,
(b) the perimeter of the logo, [3]
(c) the area of the logo. [4]

Question 8
[Diagram or table: see page 7 of the paper]
Figure 4 shows a sketch of the graph of y = g (x), –3  x  4 and part of the line l with
equation y = 1/2 x
The graph of y = g (x) consists of three line segments, from P (–3, 4) to Q (0, 4), from Q (0, 4) to R (2, 0) and from R (2, 0) to S (4, 10).
The line l intersects y = g (x) at the points A and B as shown in Figure 4.
(a) Use algebra to find the x coordinate of the point A and the x coordinate of the point B. Show each step of your working and give your answers as exact fractions. [6]
(b) Sketch the graph with equation
[Diagram or table: see page 7 of the paper]
On your sketch show the coordinates of the points to which P, Q, R and S are transformed. [2]

Question 9
The curve C has equation y = f (x), x > 0 where
[Diagram or table: see page 8 of the paper]
Given that the point P (4, –8) lies on C,
(a) find the equation of the normal to C at P, giving your answer in the form y = mx + c, where m and c are constants. [4]
(b) Find f (x), giving each term in its simplest form. [5]

Question 10
(a) On the axes in the answer book sketch and clearly label the graphs of
(i) y = x(a – x)
(ii) y = x (b – x)
where a and b are positive constants b > a
Show clearly the coordinates of all the points where the curves cross or meet the coordinate axes. [5]
(b) Show that the x-coordinates of the points of intersection of
[Diagram or table: see page 8 of the paper]
are given by the solutions to the equation
[Diagram or table: see page 8 of the paper]
[2]
The point A lies on both of the curves and the x and y coordinates of A are both positive.
(c) Find the exact coordinates of A, leaving the answer in the form p  q 3, r  s 3 ,
where p, q, r and s are integers.
(Solutions relying on calculator technology are not acceptable.) [5]
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Thursday 9 October 2025
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.
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.
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.
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
Write the answer to Question 1 on these 2 pages
This is the end of Question 1 answer space. Please turn the page for Question 2 answer space.
Question 2
Write the answer to Question 2 on these 2 pages
This is the end of Question 2 answer space. Please turn the page for Question 3 answer space.
Question 3
Write the answer to Question 3 on these 2 pages
This is the end of Question 3 answer space. Please turn the page for Question 4 answer space.
Question 4
Write the answer to Question 4 on these 2 pages
This is the end of Question 4 answer space. Please turn the page for Question 5 answer space.
Question 5
Write the answer to Question 5 on these 2 pages
This is the end of Question 5 answer space. Please turn the page for Question 6 answer space.
Question 6
Write the answer to Question 6 on these 2 pages
This is the end of Question 6 answer space. Please turn the page for Question 7 answer space.
Question 7
Write the answer to Question 7 on these 2 pages
This is the end of Question 7 answer space. Please turn the page for Question 8 answer space.
Question 8
Write the answer to Question 8 on these 4 pages
This is the end of Question 8 answer space. Please turn the page for Question 9 answer space.
Question 9
Write the answer to Question 9 on these 2 pages
This is the end of Question 9 answer space. Please turn the page for Question 10 answer space.
Question 10
Write the answer to Question 10 on these 3 pages
[Diagram or table: see page 30 of the paper]