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NSW Syllabuses

Stage 4 - Activity 1

Operations with fractions

Description of activity

Students are asked to solve various problems involving operations with fractions.


This assessment activity could be presented to students at the end of a unit on fractions, where students have been investigating the four operations and solving problems related to fractions.


  • develop understanding and fluency in mathematics through inquiry, exploring and connecting mathematical concepts, choosing and applying problem-solving skills and mathematical techniques, communication and reasoning
  • develop efficient strategies for numerical calculation, recognise patterns, describe relationships and apply algebraic techniques and generalisation


MA4-1WM communicates and connects mathematical ideas using appropriate terminology, diagrams and symbols
MA4-3WM recognises and explains mathematical relationships using reasoning
MA4-5NA operates with fractions, decimals and percentages


Criteria for assessing learning

(These criteria would normally be communicated to students with the activity.) Students will be assessed on their ability to:

  • perform the processes of addition and multiplication of fractions
  • apply multiplication of fractions in a meaningful context.

Graded student work samples

Grade BGrade C
Grade DGrade E