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Year 10 / GCSE · Maths

Percentages And Ratio

Year 10 / GCSE learners practise percentages ratio and proportion gcse.

The activities include Apply Ratios Involving Changes, Calculate Compound Interest, Change Units in Algebraic Contexts, and related practice. The checked support below includes video, worksheet, teaching, practice. Open a resource in its provider's website and choose the format that best helps the learner explain the idea independently.

Activities covered

  • Apply Ratios Involving Changes
  • Calculate Compound Interest
  • Change Units in Algebraic Contexts
  • Convert Compound Units
  • Convert Metric Units of Area
  • Convert Metric Units of Volume
  • Convert Ratios to Fractions
  • Convert Real Measurements to Scale Diagrams
  • Convert Scale Diagrams to Real Measurements
  • Divide into a Ratio when given One Part or Difference
  • Find Mass, Density and Volume
  • Find One Number as a Percentage of Another
  • Find Percentage Change, Including Profit
  • Find Percentages of an Amount Using a Multiplier
  • Find Pressure, Force and Area
  • Find Speed, Distance and Time
  • Find the Best Value for Money
  • Find the Original Amount Before a Percentage Change
  • Identify Direct Proportion and Solve Simple Problems
  • Identify Inverse Proportion
  • Increase or Decrease by a Percentage (using a multiplier)
  • Reduce a Ratio to its Simplest Form
  • Reduce a Ratio to its Simplest Form
  • Represent Direct Proportion Graphically
  • Simplify a Ratio to the Form 1:n or m:1
  • Solve Exponential Growth and Decay Problems
  • Solve Inverse Proportion Problems Algebraically
  • Solve Real Life Proportion Questions
  • Solve Simple Interest Problems
  • Understand Dividing into a Given Ratio
  • Understand Metric Units of Capacity
  • Understand Metric Units of Length
  • Understand Metric Units of Mass
  • Understand Recipe-Style Questions
  • Use Multiplicative Relationships
  • Use Ratio with Map Scales
  • Use Time Calculations
  • Use Unitary Proportion
  • Work with Direct Proportion Algebraically
  • Write a Ratio from Amounts

Checked learning resources

  • Changing ratios

    Oak National Academy · Video · Opens on the provider website

    Year 10 Higher Maths lesson finding quantities after items are added or removed and the ratio changes, using equivalent ratios while preserving the relationship between the parts.

  • Compound interest calculations

    Oak National Academy · Video · Opens on the provider website

    Year 10 Higher Maths lesson recalculating interest at each stage, using repeated percentage multipliers efficiently and reversing the process to find an original amount.

  • Converting compound measures

    Oak National Academy · Video · Opens on the provider website

    GCSE Higher lesson applying one conversion factor to each component of a compound unit, including conversions involving density and pressure units.

  • Converting metric speed measures

    Oak National Academy · Video · Opens on the provider website

    GCSE Higher lesson converting speeds between alternative metric compound units by converting both distance and time components and checking the result in context.

  • Converting metric area units

    Corbett Maths · Video · Opens on the provider website

    GCSE video and practice applying the squared conversion factor when converting between square millimetres, square centimetres and square metres.

  • Converting metric volume units

    Corbett Maths · Video · Opens on the provider website

    GCSE video and practice applying the cubed conversion factor when converting between cubic millimetres, cubic centimetres and cubic metres.

  • Converting between ratios, fractions and percentages

    Oak National Academy · Video · Opens on the provider website

    Year 10 Higher Maths lesson moving fluently between ratio, fraction and percentage descriptions of the same multiplicative relationship, including part-to-whole interpretation.

  • Drawing accurate scale diagrams

    Oak National Academy · Video · Opens on the provider website

    Year 10 Higher Maths lesson choosing and applying a suitable scale to convert real measurements into accurate lengths on a diagram, plan or model.