Free CXC Mathematics Paper 3 January 2021 past paper from 2021. Includes a worked answer key. Open the PDF, take a timed test, and study with AI on Caribbean AI.
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CSEC Mathematics Paper 3 January 2021 - Free CXC Past Paper with Answers
Free CXC Mathematics Paper 3 January 2021 past paper from 2021. 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.
The diagram below shows a container of length that John made to store cooking oil. The cross-section of the container is an equilateral triangle of side and perpendicular height .
An enlarged diagram of the triangular cross-section of the container is shown below.
Show that the area of the triangular cross-section, in terms of , is . [Note: ]
[1 mark]
Determine, in terms of , the volume of the container. Simplify your answer.
[2 marks]
Given that cm, calculate the depth of the oil in the container when John pours of oil into it.
[2 marks]
The diagram below shows the net of the container when it is opened. Show that the area of the net, in terms of , is . (Hint: is a square.)
[2 marks]
Flagship Movie Rentals charges an annual membership fee plus an additional fee for the weekly rental of each movie.
The graph below shows the total fee, (), as it varies with the number of movies rented, ().
Using the graph, fill in the missing values in the table below.
| Number of Movies Rented () | Total Fee, (S) |
|---|---|
| 75 | |
| 30 | 130 |
| 50 | |
| 124 | 300 |
[2 marks]
The total fee, , is related to the number of movies rented, , by the equation . Determine the value of
[1 mark]
.
[1 mark]
Complete the following statement.
According to the graph, the annual membership fee is $ $$ .................................................... and the fee to rent one movie for a week is $ $$ ....................................................
[2 marks]
Brooke and her family budgeted $700 for renting movies for the year.
Using an equation, or otherwise, determine the MAXIMUM number of movies they can rent.
[2 marks]
At Rightstar Movie Rentals, there is no membership fee but Brooke will pay $1.95 to rent a movie for one week. From which of the two rental clubs would Brooke be able to rent more movies on the same budget? Show calculations to justify your answer.
[2 marks]