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ZIMSEC A-Level Pure Mathematics

6.1Algebra

Algebra in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic314 practice questions16 lessons

In this topic

Lessons

  • Indices and variation

    40 min

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  • Polynomials: division, identities and the factor and remainder theorems

    45 min

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  • Completing the square and the discriminant

    40 min

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  • Partial fractions

    40 min

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  • Quadratic equations, inequalities and simultaneous equations

    45 min

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  • Exponential and logarithmic functions: e^x and ln x

    40 min

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  • Laws of logarithms and equations with unknown indices

    40 min

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  • Reducing relationships to linear form

    40 min

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  • The modulus function: graphs, equations and inequalities

    40 min

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  • Composite and inverse functions

    40 min

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  • Functions and relations: mappings, domain and range

    35 min

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  • Transformations of graphs

    40 min

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  • Matrices and transformations of the plane

    50 min

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  • Matrices: operations, determinants, inverses and linear systems

    50 min

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  • Proof by mathematical induction

    50 min

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  • Binary operations and groups

    50 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Algebra: sample question

1 mark

Without using a calculator, evaluate 3235×4−1232^{\frac{3}{5}} \times 4^{-\frac{1}{2}}.

Only if the answer has a unit, e.g. cm or km/h.

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