Maths Library

Year 8 maths, age 12 to 13, KS3

In Year 8, pupils build upon early Key Stage 3 concepts by extending their understanding of proportional reasoning, algebraic manipulation, and geometric properties. They work with fractional and negative calculations, solve multi-step linear equations, and explore circles and compound units. Data handling encompasses comparing distributions using averages and interpreting statistical charts.

Start a Year 8 sheet

Equivalent levels

Topics

Number

Fractions

Percentages

Ratio

Algebra

Measurement

Geometry

Statistics

TopicFocusCodes
Pie Chartsdevelop
Mean, Median, Mode and Rangedevelop

Probability

TopicFocusCodes
Theoretical Probabilitydevelop

Curriculum items

Indicative, from National Curriculum for England. See the official document for the authoritative text.

  • Calculate with positive and negative integers using formal written and mental methods.
  • Find highest common factors, lowest common multiples, and prime factorisations of integers.
  • Use positive integer powers and apply the laws of indices.
  • Add, subtract, multiply, and divide proper and improper fractions and mixed numbers.
  • Solve problems involving percentage change, including increases and decreases.
  • Divide quantities into two or more parts in a given ratio and solve simple proportion problems.
  • Simplify expressions by collecting like terms and expanding single brackets.
  • Solve two-step and multi-step linear equations with integer coefficients.
  • Generate terms of a sequence and find the nth term of a linear sequence.
  • Calculate the circumference and area of circles using standard formulae.
  • Solve problems involving speed, distance, and time.
  • Calculate unknown angles using parallel line angle facts and polygon properties.
  • Perform and describe reflections, rotations, and translations on coordinate grids.
  • Construct and interpret pie charts, and calculate measures of central tendency and spread.
  • Calculate theoretical probabilities and identify probabilities of mutually exclusive events.

Previous: Year 7 | Next: Year 9