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

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

- Page: https://mathvsarham.com/past-papers/wma11/2026-may-june-paper-01a/
- PDF: https://mathvsarham.com/papers/wma11/WMA11_may-june_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: May/June 2026
- Paper: 01A
- Component code: WMA11/01A
- Time allowed: 90 minutes
- Total marks: 75
- Pages: 12

## 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
In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.
A tree was planted.
Exactly 2 years after it was planted, the height of the tree was 2. 70 m.
Exactly 7 years after it was planted, the height of the tree was 4. 50 m.
Given that t years after it was planted, the height of the tree, H metres, is modelled by the equation
[Diagram or table: see page 2 of the paper]
where a and b are constants,
(a) find the complete equation of the model. [4]
(b) Hence find, according to the model, the height of the tree when it was planted. [2]

Question 3
In this question you must show all stages of your working.
In triangle ABC,
• AC = 12 cm
• AB = 8 cm
• angle BCA  32
• angle CBA   
(a) Find both possible values for θ , giving each answer to 2 decimal places. [3]
Given that θ > 90
(b) find, to 3 significant figures, the length of BC, [2]
(c) find, to 3 significant figures, the area of the triangle. [2]

Question 4
In this question you must show all stages of your working.
[Diagram or table: see page 3 of the paper]
(i) Using the laws of indices, solve
[Diagram or table: see page 3 of the paper]
[3]
(ii) Find the real roots of the equation
[Diagram or table: see page 3 of the paper]
[4]

Question 5
[Diagram or table: see page 4 of the paper]
In this question you must show detailed reasoning. Solutions relying on calculator technology are not acceptable.
Figure 1 shows a sketch of part of the curve with equation y  x^3  2x  3
The point P(2, 15) lies on the curve.
(a) Use calculus to find the gradient of the tangent to the curve at P. [2]
The point Q with x coordinate 2 + h where h > 0 also lies on the curve.
(b) Find, in terms of h, the gradient of the straight line PQ. Give the answer in simplest form. [4]
(c) Explain briefly the relationship between the answer to part (b) and the answer to part (a). [1]

Question 6
[Diagram or table: see page 5 of the paper]
Figure 2 Figure 3
In this question you must show all stages of your working.
Figure 2 shows
• a sector DOBCD of a circle with centre O
• a right-angled triangle OAB with the right angle at A
A company’s logo, shown shaded in Figure 3, is formed when the right-angled triangle is removed from the sector of the circle.
Given that
• OB = OD 9 cm=
• AB = 7.3 cm
(a) find the size of angle BOA, in radians, to 3 decimal places, [2]
(b) find the area of the logo, in cm ^2 , to 3 significant figures, [3]
(c) find the perimeter of the logo, in cm, to one decimal place. [3]

Question 7
The curve C has equation y = f (x) , x > 0
The point P with x coordinate 4 lies on C.
Given that
k  x • f(x) _2 where k is a constant
• the normal to C at P has equation y  2x  5  0
(a)(i) show that k = 18
(ii) find the equation of the tangent to C at P. Give the answer in the form y  mx  c , where m and c are constants. [6]
(b) Find an expression for f (x) in terms of x, giving the answer in simplest form. [5]

Question 8
[Diagram or table: see page 7 of the paper]
In this question you must show detailed reasoning. Solutions relying on calculator technology are not acceptable.
Figure 4 shows the curve C_1 with equation y = f (x) where f (x) is a cubic function in x.
The curve C_1
• cuts the x-axis at 5 and the y-axis at 20
• touches the x-axis at −4
as shown in Figure 4.
(a) Deduce the range of values of x for which f (x)  0 [2]
(b) Find an expression for f (x) in terms of x. Give the answer in a fully factorised form. [3]
The curve C_2 has equation y  3xx  5
(c) Find the exact x coordinates of all points of intersection of C_1 and C_2 [4]

Question 9
[Diagram or table: see page 8 of the paper]
Figure 5 shows a sketch of the curve C with equation
[Diagram or table: see page 8 of the paper]
where x is measured in degrees and k is a constant.
The curve C
• cuts the x-axis at 250°
• has a minimum point at P
as shown in Figure 5.
(a) State the value of k. [1]
(b) State the coordinates of P. [1]
(c) Solve the equation
for values of x in the range 3600  x  3960 [2]
(d) Find the coordinates of the point to which P is mapped when C is transformed to the curve with equation
(i) y  4cos x  k
(ii) y  cos x  3k [2]

Question 10
y
[Diagram or table: see page 9 of the paper]
In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.
Figure 6 shows a sketch of
• the curve C with equation x^2  2 y^2  6x  y  1  0
• the line l with equation y  2x  k where k is a constant
Given that k can vary,
(a) show that when l touches C
[Diagram or table: see page 9 of the paper]
[4]
Given further that
• k < 0
• l touches C at the point P
(b) find the exact coordinates of P [5]