# WMA11 Pure Mathematics 1 (P1) May/June 2026 Paper 01

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

- Page: https://mathvsarham.com/past-papers/wma11/2026-may-june-paper-01/
- PDF: https://mathvsarham.com/papers/wma11/WMA11_may-june_2026_paper_01_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International A Level
- Subject: WMA11 Pure Mathematics 1 (P1) (https://mathvsarham.com/past-papers/wma11/)
- Session: May/June 2026
- Paper: 01
- Component code: WMA11/01
- Time allowed: 90 minutes
- Total marks: 75
- Pages: 28

## Question paper text

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

Question 1
Find
[Diagram or table: see page 2 of the paper]
giving the answer in simplest form. [5]

Question 2
The line l_1 has equation y  10  3x
The line l_2
• is perpendicular to l_1
• intersects l_1 at the point P with x coordinate 4
(a) Find an equation for l_2 writing the answer in the form ax  by  c  0 , where a, b and c are integers. [3]
Given that
• line l_1 cuts the y-axis at the point M
• line l_2 cuts the y-axis at the point N
(b) find the area of triangle MPN, making your method clear. [3]

Question 3
A triangular plot of land, ABC, has area 60 m^2
Given
• AB = 15 m
• AC = 10 m
• angle BAC   
(a) show that sin   4/5 [1]
Given also that   is the largest angle in the triangle,
(b) find the length of the side BC, in metres, to 3 significant figures, [3]
(c) find the size of the smallest angle in the triangle, in degrees, to one decimal place. [2]

Question 4
[Diagram or table: see page 8 of the paper]
Solutions relying on calculator technology are not acceptable.
[Diagram or table: see page 8 of the paper]
(a) Solve the equation
[Diagram or table: see page 8 of the paper]
[5]
(b)(i) Show that the equation
[Diagram or table: see page 8 of the paper]
can be written as
[Diagram or table: see page 8 of the paper]
(ii) Hence, using algebra, show that x = 16 is the only solution of the equation
[Diagram or table: see page 8 of the paper]
[5]

Question 5
The curve C has equation
[Diagram or table: see page 12 of the paper]
(a) Write 2x^2  12x  7 in the form a x  b  c , where a, b and c are constants. [3]
The point P is the maximum point on C.
(b) Find the coordinates of P. [2]
[Diagram or table: see page 12 of the paper]
Figure 1 shows a sketch of the curve C and a line l.
The line l passes through the point P and the origin O.
The region R, shown shaded in Figure 1, is bounded by C, l and the y-axis.
(c) Use inequalities to define R. [2]

Question 6
[Diagram or table: see page 14 of the paper]
Figure 2 shows a sketch of the curve C with equation y = f(x).
The curve C
• touches the x-axis at − 3/2
• cuts the x-axis at 4
• cuts the y-axis at −12
Given that f(x) is a cubic function,
(a) find f(x). You may leave the answer in a factorised form. [3]
The line with equation y  2x  12 cuts C at 0, 12 and at two further points, P and Q.
(b) Use algebra to find the exact x coordinates of P and Q. Give each answer in simplest form.
(Solutions relying entirely on calculator technology are not acceptable.) [4]

Question 7
[Diagram or table: see page 18 of the paper]
Figure 3 shows a sector AOB of a circle, centre O.
The radius OA of the sector is r cm and angle AOB is θ radians.
Given that
• the area of sector AOB is 1 cm^2
• the perimeter of sector AOB is 8 cm
(a) write down two different equations involving r and θ . [2]
Given that r > 2
(b) solve the two simultaneous equations in part (a) to find the exact value of r and the exact value of θ . Write each answer in the form a + b c where a, b and c are integers.
[Diagram or table: see page 18 of the paper]
[5]

Question 8
A curve C has equation y = f(x), x > 0
The point P with x coordinate 1/4 lies on C.
Given that
• f (x)  10 _2
• the tangent to C at P has equation y  kx  2 , where k is a constant
(a)(i) find the value of k
(ii) find the equation of the normal to C at P. Give the answer in the form y  mx  c , where m and c are constants. [6]
(b) Find f(x) . [5]

Question 9
[Diagram or table: see page 24 of the paper]
The curve C has equation y  sin / x   /8  ^1  
Figure 4 shows a sketch of C_1 in the interval 0  x  2
The point P is a minimum turning point on C_1 and is shown in Figure 4.
(a) State the x coordinate of P. [1]
(b) State the number of roots of the equation
[Diagram or table: see page 24 of the paper]
in the interval 0  x  101 , giving a reason for your answer. [2]
The curve C has equation y  5sin / x   /8  ^2  
The point Q is the minimum turning point on C_2 in the interval 0  x  2
(c) State the coordinates of Q. [2]

Question 10
The curve C has equation
[Diagram or table: see page 26 of the paper]
where k is a positive constant.
(a) Sketch a graph of C. Show on your sketch the coordinates of the point where C crosses a coordinate axis. [3]
The line l has equation x  y  12
Given that l is a tangent to C,
(b) show that
[Diagram or table: see page 26 of the paper]
[4]
The line l meets C at a point P.
Given that P lies below the x-axis,
(c) find the coordinates of P.
(Solutions relying entirely on calculator technology are not acceptable.) [4]