Number Skills

Number Skills Revision Points

Arithmetic Skills

  • Understand and utilise the order of operations (brackets, orders, division and multiplication, addition and subtraction).
  • Be able to add, subtract, multiply and divide both whole numbers and decimal numbers.
  • Accurately round numbers to a required number of decimal places or significant figures.
  • Convert between fractions, decimals and percentages.
  • Understand and identify prime numbers, and perform prime factorisation.

Number Types

  • Appreciate the differences between integers, rational numbers, irrational numbers, real numbers, and complex numbers.
  • Recognise the characteristics of odd numbers, even numbers, square numbers, and prime numbers.
  • Comprehend positive and negative numbers, including addition and subtraction.

Ratio and Proportion

  • Understand the concept of a ratio and how it differs from a fraction.
  • Convert between ratios and fractions, and simplify ratios.
  • Interpret and compute proportions using the ‘cross-multiplication’ method.
  • Understand and apply direct and inverse proportions in various contexts.


  • Understand how to calculate a percentage of a whole.
  • Use percentages to describe increase, decrease and change.
  • Calculate the original amount after a percentage increase or decrease.

Number Properties

  • Understand and utilise the properties of numbers including commutative, associative, distributive, identity and inverse properties.
  • Understand the difference between an equation and an inequality.
  • Solve both linear equations and quadratic equations using a variety of methods.
  • Appreciate the value of absolute values and know how to compute them.

Sequences and Series

  • Understand the difference between arithmetic and geometric sequences.
  • Determine terms of arithmetic and geometric sequences using the nth term.
  • Recognise and apply the sum formulas for arithmetic and geometric series.