Primary 6 (Grade 6) Maths Study Notes

Every topic explained step by step, with worked examples and problems to try

Notes for Primary 6 (Grade 6) maths. Each note explains one subject with worked examples and diagrams, and ends with problems to try, with their solutions.

Fractions

  • Dividing Fractions: Word ProblemsWord problems on dividing fractions for Primary 6 (Grade 6): one-step, multi-step and harder questions with bar models and full worked solutions.

Ratio

  • Introduction to RatiosWhat a ratio is and how to write one: why order matters, part-to-part and part-to-whole ratios, and ratios of three quantities, for Primary 6 (Grade 6).
  • Equivalent RatiosWhat equivalent ratios are and how to write a ratio in its simplest form using the highest common factor, with worked examples for Primary 6 (Grade 6).
  • Finding Equivalent RatiosHow to scale a ratio up or down and find a missing number in a pair of equivalent ratios, with tables and worked examples for Primary 6 (Grade 6).
  • Finding New RatiosHow to combine two ratios into one and work with ratios of three quantities, with bar models and worked examples for Primary 6 (Grade 6) maths.
  • Ratio Word ProblemsRatio word problems for Primary 6 (Grade 6) solved with bar models: a total given, a difference given and harder problems, each worked step by step.

Algebra

  • Solving Algebraic EquationsHow to solve simple algebraic equations in Primary 6 (Grade 6): one-step and multi-step equations, bar models and word problems, with worked solutions.

Circles

  • Parts of a CircleThe centre, radius and diameter of a circle and how they are related (diameter = 2 × radius), with diagrams and practice for Primary 6 (Grade 6).
  • Area of a CircleHow to find the area of a circle from its radius or its diameter using π × r × r, with worked examples and practice problems for Primary 6 (Grade 6).
  • Perimeter of a Semicircle and a Quarter CircleHow to find the perimeter of a semicircle, a quarter circle and a three-quarter circle: the curved part plus the straight edges, for Primary 6 (Grade 6).
  • Area of a Semicircle and a Quarter CircleHow to find the area of a semicircle, a quarter circle and a three-quarter circle, with formulas, worked examples and practice for Primary 6 (Grade 6).

Volume of Cube and Cuboid

  • Finding an Edge of a Cube or CuboidHow to find an unknown length, breadth or height of a cuboid, or the edge of a cube, from its volume, with worked examples for Primary 6 (Grade 6).
  • Finding the Area of One FaceHow to find the area of one face of a cube or cuboid from its volume, and a length from a face area, with worked examples for Primary 6 (Grade 6).