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Maths that fixes the gap, not just the topic.

When a new maths idea won’t stick, the problem is often an earlier skill. Cognitano links every maths skill to the ones it depends on, so practice starts where the real gap is.

From fractions to proportion

  1. Multiplication and divisionMastered · Secure
  2. Equivalent fractionsMastered · Secure
  3. Ratio and ratesOpens later · Builds on fractions
  4. Proportional reasoningOpens later · Used across maths and science
Example path. Your own path comes from your assessment and practice.

What you can practise.

  • Number

    Place value, operations, factors and multiples, and the number sense that later ideas lean on.

  • Fractions, decimals and percentages

    Equivalence, comparing and ordering, and moving between forms.

  • Ratio and proportion

    Scaling, rates and proportional relationships, one of the most connected ideas in school maths.

  • Representations

    Moving between words, tables, equations and graphs, and reading graphs correctly.

  • Data and graphs

    Reading charts accurately and spotting a misleading axis or scale.

  • Problem solving

    Breaking a problem into steps and keeping track of every condition.

Built around the mistakes learners really make.

Many maths errors follow a pattern: a rule that worked once, applied where it doesn’t. Practice is designed to bring those patterns to the surface and replace them.

  • “A bigger denominator means a bigger fraction.”Cognitano checks fraction comparison before moving on to ratio.
  • “Add the same amount to scale a recipe.”Proportional reasoning practice shows why scaling multiplies.
  • “The tallest bar changed the most.”Data skills include reading the scale, not just the shape.

See it before you sign up.

Try a proportional reasoning question with three stepped hints and a full explanation. No account needed, and nothing is saved.

Try the sample question

Behind on maths? See how catching up works.

Start maths where it makes sense.

Create an account, and a starting assessment shows which skills to work on first.

Create your account