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ZIMSEC O-Level Additional Mathematics

6.1Pure Mathematics

Pure Mathematics in ZIMSEC O-Level Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Syllabus section852 practice questions43 lessons

In this topic

Lessons

  • Functions: mappings, domain and range

    35 min

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  • Straight lines: distance, midpoint, gradient and equation

    40 min

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  • Gradients of curves and the derived function

    40 min

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  • Identities and unknown coefficients

    30 min

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  • Indices and exponential equations

    35 min

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  • Integrating exponential, trigonometric and linear-composite functions

    45 min

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  • Integration as the reverse of differentiation

    40 min

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  • Logarithms and the laws of logarithms

    40 min

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  • Polynomials: terms, operations and long division

    35 min

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  • Sequences and their behaviour

    35 min

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  • Completing the square, maximum and minimum values

    35 min

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  • The six trigonometric functions of any angle

    40 min

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  • Definite integrals and plane areas

    50 min

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  • Composite functions

    30 min

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  • Simultaneous equations: one linear, one non-linear

    35 min

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  • Solving quadratic equations

    35 min

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  • Surds and exact answers

    35 min

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  • Exponential and logarithmic equations

    40 min

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  • The discriminant and the nature of roots

    35 min

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  • Parallel and perpendicular lines

    40 min

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23 more lessons in this topic. Join to read every lesson, or see what Full access includes.

Sample question

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

Pure Mathematics: sample question

1 mark

Given that ax+2(x−b)≡7x−6ax + 2(x - b) \equiv 7x - 6, find the value of aa.

Complete: a = …

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

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