Forming percentages

Express one quantity as a percentage of another (part divided by whole, times 100), converting units first where needed, and work backwards from a percentage to find a missing amount or total.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

  • Alpha textbook: One amount as a percentage of another amount, Ex 9.06, pg 148-149
  • Dr Austin Maths - Working with Percentages Practice GridQuestions PDF · Answers
  • CorbettMaths on forming percentagesQuestions PDF · Answers

Terminology

  • Percentage
  • Part
  • Whole
  • Total
  • Rate

Task goals

  • Write one quantity as a percentage of another by dividing the part by the whole and multiplying by 100.
  • Convert units (mL/L, minutes/hours, g/kg) so the part and whole are in the same unit before forming the percentage.
  • Read a proportion number line (an arbitrary total scaled against 0-100%) to find a missing quantity or percentage label.
  • Work backwards from a percentage and either the total or the part to find the missing value.
  • Recognise that two differently-sized quantities can simplify to the same percentage (equivalent ratios).
  • Apply forming-percentages to multi-step, real-world contexts, including successive changes to a starting quantity.

Key skills

  • Form percentages
  • Percent of total

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included