Free CXC Additional Mathematics Paper 2 May/June 2026 past paper from 2026. Includes a worked answer key. Open the PDF, take a timed test, and study with AI on Caribbean AI.
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CSEC Additional Mathematics Paper 2 May/June 2026 - Free CXC Past Paper with Answers
Free CXC Additional Mathematics Paper 2 May/June 2026 past paper from 2026. Includes a worked answer key. Open the PDF, take a timed test, and study with AI on Caribbean AI.
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Every question from this paper as text. See the answers and worked solutions. Questions are the property of the Caribbean Examinations Council; Caribbean AI is not affiliated with CXC.
Determine the value of the following expression, giving your answer in its simplest form.
[3 marks]
Factorize the following polynomial completely, giving your answer as a product of its linear factors.
[3 marks]
Figure 1 shows the steps in a student's solution for the equation . The student made an error in the working which resulted in an incorrect solution.
Figure 1. Worked solution to a logarithmic equation
Identify the step in which the student made the initial error and correctly rework the solution from that step.
Step with initial error 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<![CDATA[Determine the values of $m$ for which the equation $x^2 + (m-1)x + 2m + 3 = 0$ has equal roots.[3 marks]
Hence, determine the value of that satisfies the equation.
[2 marks]
Substitute in the exponential equation .
[3 marks]
Solve the resulting equation from (a) (i) in terms of .
[2 marks]
Find the range of values for for which .
[4 marks]
An accountant is offered a five-year contract with an annual increase. The accountant earned a salary of $56 000 and $61 000 in the third and fifth year respectively. If the increase was the same each year, calculate the total amount earned at the end of the five-year period.
[3 marks]
Find the sum to infinity of the following geometric series
A circle with equation intersects the and -axes at three points.
[5 marks]
State the radius of the circle.
[1 mark]
Determine the coordinates of the THREE points of intersection.
[4 marks]
Figure 2 shows a portion of land, ABCD, in which ABC represents a sector of a circle with centre C and CDA is a right-angled triangle. Section ABC of the land is used for building and the remainder for farming. The radius BC is 20 m and Angle BCD is a right angle.
Figure 2. Portion of land, ABCD
[5 marks]
Given that the area of the building space is , calculate the angle ACB, in radians.
[1 mark]
Calculate the area of the land used for farming.
[4 marks]
A boat begins at Point O and travels to Position B in the direction units, then proceeds to Point C in the direction units.
[6 marks]
Determine .
[3 marks]
Hence, show that the scalar product of and is .
Using the right-angled triangle below, derive the identity .
[4 marks]
SECTION III INTRODUCTORY CALCULUS
ALL working must be clearly shown.
[6 marks]
Find
[6 marks]
given
[3 marks]
given .
Each side of a block of ice in the shape of a cube is melting uniformly at a rate of cm/min. At what rate is the ice block's surface area melting when the sides of the ice block are 150 cm? Include the units in your final answer.
[5 marks]
Figure 3 shows the velocity-time graph for the motion of a particle for the first 11 seconds of its journey.
Using the graph in Figure 3, determine an approximate value for the acceleration of the particle at time seconds. Give your answer to 1 decimal place.
[4 marks]
Find the area of the finite region bounded by the curve and the lines and .
[4 marks]
Find the volume of the solid of revolution in terms of for the region bounded by the curve , the x-axis and the lines and .
Determine the equation of a curve whose gradient is and passes through the point .
The velocity, , of a particle moving in a straight line is given by ms, where is the time in seconds which has elapsed since the particle passed through a fixed point O. Derive an expression in terms of for the displacement of the particle from O, when and the displacement of the particle is 3 m.
Table 1 shows the preferred social media platform for 270 students.
| Gender | TikTok | Total | |
|---|---|---|---|
| Male | 50 | 60 | 110 |
| Female | 70 | 90 | 160 |
| Total | 120 | 150 | 270 |
(a) Find the probability that a student (i) prefers Instagram and is a female (ii) prefers TikTok given that the student is a male (iii) is male or prefers Instagram.
[3 marks]
Table 2 shows the scores the 35 randomly selected students earned on a pop quiz that was given after a field trip.
TABLE 2: STUDENTS' SCORES ON A POP QUIZ
| 42 | 96 | 97 | 73 | 75 | | 51 | 52 | 84 | 55 | 60 | | 63 | 66 | 70 | 99 | 71 | | 77 | 76 | 76 | 76 | 77 | | 78 | 79 | 80 | 84 | 84 | | 94 | 98 | 72 | 73 | 42 |
(i) Construct a stem-and-leaf diagram to show the scores of the students. (ii) State ONE conclusion that can be drawn about the distribution based on the shape of the stem-and-leaf plot in (b) (i). (iii) Calculate the 25th, 50th and 75th percentiles. (iv) Hence, find the semi-interquartile range.
[15 marks]
State ONE advantage of displaying the students' scores on the quiz via a stem-and-leaf diagram as opposed to a box-and-whisker diagram.
[2 marks]
[3 marks]
[3 marks]
[3 marks]
[3 marks]
[4 marks]
[4 marks]