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Cameroon GCE A-Level Pure Math with Mechanics Practice Questions - Cameroon GCE Advanced Level Pure Mathematics with Mechanics (Subject Code 0765) Exam

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About this Exam

Prepare with the Cameroon GCE A-Level Pure Math with Mechanics Practice Questions - Cameroon GCE Advanced Level Pure Mathematics with Mechanics (Subject Code 0765) Exam practice quiz. This question bank includes 100 questions covering mathbf, find, frac, theta, and value. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

Sample Questions

Question 1
The polynomial $P(x) = 2x^3 + ax^2 + bx - 6$ has $(x - 1)$ as a factor. When $P(x)$ is divided by $(x + 2)$, the remainder is $-36$. Find the value of $a + 2b$.
9
7
12
-3
Question 2
Express the rational expression $\frac{7x - 1}{(x - 1)(x + 2)}$ in partial fractions.
\frac{2}{x - 1} + \frac{5}{x + 2}
\frac{3}{x - 1} + \frac{4}{x + 2}
\frac{5}{x - 1} + \frac{2}{x + 2}
\frac{6}{x - 1} + \frac{1}{x + 2}
Question 3
When $\frac{3x^2 + 4}{(x - 1)^2(x + 2)}$ is expressed in the partial fraction form $\frac{A}{x - 1} + \frac{B}{(x - 1)^2} + \frac{C}{x + 2}$, what is the value of the coefficient $B$?
\frac{7}{3}
\frac{16}{9}
\frac{11}{9}
3
Question 4
Given that $\log_a b = 3$ and $\log_a c = 5$, find the value of $\log_a\!\left(\dfrac{a^2 b}{\sqrt{c}}\right)$.
$$\dfrac{5}{2}$
$$\dfrac{1}{2}$
$$0$
$$\dfrac{15}{2}$
Question 5
Find the complete real solution set of the exponential equation $3^{2x+1} - 10(3^x) + 3 = 0$.
\{-1, 1\}
\{0, 1\}
\{-1, 3\}
\{1, 3\}

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Additional Information

Cameroon GCE A-Level Pure Math with Mechanics Practice Questions - Cameroon GCE Advanced Level Pure Mathematics with Mechanics (Subject Code 0765) Exam

This practice set contains 100 questions from the matching question bank and focuses on mathbf, find, frac, theta, and value. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

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Frequently Asked Questions

This quiz contains a total of 100 practice questions carefully selected to test your knowledge on this subject.
Yes, you will have exactly 0 minutes to complete the exam. A countdown timer will be visible once you start.
Yes, you can retake this practice test as many times as you need. The questions and options may be randomized on subsequent attempts to ensure comprehensive learning.

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