Cameroon GCE ordinary level June 2026 additional mathematics 2

Master Pure Mathematics: High-Yield Section A Revision Questions

Are you gearing up for your upcoming advanced mathematics examinations? Mastering compulsory structured problems is the ultimate key to achieving top scores. Unlike multiple-choice sections, structured pure math questions require step-by-step proofs, clear algebraic calculations, and solid logical reasoning.

To help you supercharge your revision sessions, we have extracted a premium selection of core problems directly from the official past paper page displayed in image_627a89.jpg. These questions cover high-frequency topics including indices, roots of quadratic equations, combinatorics, arithmetic progressions, linear programming, and matrix transformations.

Test your problem-solving abilities by working through these selected exam questions:

Featured Pure Mathematics Revision Questions

• Indices & Equations: Find the exact value(s) of $x$, for which $2^{2x+1} – 5(2^x) + 2 = 0$. (4 marks)

• Roots of Quadratics: The roots of the quadratic equation $2x^2 + 3x + 2 = 0$, are $\alpha$ and $\beta$. Without solving the equation, find the exact value of $\alpha^2 + \beta^2$. (4 marks)

• Combinatorics: In how many ways can a committee of 3 boys and 2 girls be selected from a class composed of 8 boys and 6 girls? (4 marks)

• Sequences & Series: An exam registration table shows 3,750 candidates in 2010, 5,000 in 2011, and 6,250 in 2012. Show that these numbers form an arithmetic progression, and calculate the total number of candidates registered from 2010 to 2021. (6 marks total)

• Matrix Transformations: A transformation $T$ is defined as $T(x,y) \rightarrow (2x – y,\ 3x + 2y)$. Write down the representing matrix $M$, and determine the coordinates of the image of the point $(-3, 5)$. (4 marks)

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