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ZIMSEC A-Level Pure Mathematics

6.1.8Groups

Groups in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic20 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.1.8.1Form 6: define a binary operation and the properties closure, commutativity, associativity, distributivity, identity and inverse element.
  2. 6.1.8.2Form 6: define a group and use its basic properties to show that a given structure is, or is not, a group.
  3. 6.1.8.3Form 6: solve problems involving binary operations and the properties of a group.

Lessons

  • 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.

Groups: sample question

1 mark

Subtraction is an associative binary operation on the integers.

Is the statement true or false?

Turn Groups into a strength.

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