Free CXC Additional Mathematics Paper 3 May/June 2023 past paper from 2023. 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 3 May/June 2023 - Free CXC Past Paper with Answers
Free CXC Additional Mathematics Paper 3 May/June 2023 past paper from 2023. 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.
John has a swimming pool that is 30 feet by 20 feet. He wants to have a tiled walkway of uniform width around the edge of the pool.
[30 marks]
If 336 square feet of tiles are needed to cover the walkway, what is the width of the walkway?
[10 marks]
The gradient function of a curve, , is given by . A tangent to the curve at intercepts the -axis at . Determine the equation of the curve .
[10 marks]
Table 1 shows the types of movies that 250 randomly selected students preferred to watch during the summer vacation.
| Prefers Watching Science Fiction (S) | Prefers Watching Comedy (C) | Total | |
|---|---|---|---|
| Male (M) | 95 | 25 | |
| Female (F) | 45 | 85 | |
| Total |
[10 marks]
If one student is selected at random from this group, find the probabilities
.
[3 marks]
If one student is randomly selected from this group, find the probability that this student prefers watching science fiction movies or is a male student.
[2 marks]
Determine whether the events 'prefers watching science fiction' and 'female' are independent. Justify your response.
[3 marks]
Determine if the events 'prefers watching comedy movies' and 'male' are mutually exclusive. Justify your response.
[2 marks]