Number theory

Here is a list of all of the skills that cover Number theory! These skills are organised by year, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. BSM will track your score, and the questions will automatically increase in difficulty as you improve!

Counting Addition Subtraction Multiplication Division Patterns Comparing Fractions and rational numbers Decimal numbers and decimal fractions Estimation and rounding Geometry Algebra Place values Measurement Mixed operations Time Number sequences Number theory Money and consumer maths Percents Ratios and proportions Probability and statistics Graphs Integers Equations and inequations Word problems Trigonometry Exponents,indices and roots Functions Coordinate geometry Absolute value Properties
reception
Year 1
Year 2
  • Identify numbers as even or odd
  • Which even or odd number comes before or after?
Year 3
  • Identify numbers as even or odd
  • Select even or odd numbers
  • Which even or odd number comes before or after?
  • Guess the number
Year 4
Year 5
  • Even or odd: arithmetic rules
  • Identify factors
  • Prime and composite numbers
  • Prime factorisation
  • Highest common factor
  • Lowest common multiple
Year 6
  • Prime and composite numbers
  • Prime factorisation
  • Highest common factor
  • Least Common Multiple
Year 7
  • Prime or composite
  • Identify factors
  • Prime factorisation
  • Prime factorisation with exponents
  • Highest common factor
  • Lowest common multiple
  • HCF and LCM: word problems
Year 8
  • Add, subtract, mutiply and divide integer numbers
  • Apply addition and subtraction rules
  • Apply multiplication and division rules
  • Calssify numbers
  • Identify Number sets (N, Z and Q)
  • Determining the Number System
  • Prime or composite number : mixed review
  • Prime Factorization
  • inverse of a whole number
  • multiply number by the inverse of the second number
  • inverse of a fraction
Year 9
  • Factors
  • Divisibility rules
  • Prime or composite
  • Prime factorisation
  • Highest common factor
  • Lowest common multiple
  • HCF and LCM: word problems
  • Classify numbers
  • Identify rational and irrational numbers
Year 10
  • Identifying subset of the number system
  • Classify real numbers : mixed review
  • Compare the subset of the number system
  • Defining sequences
  • Defining arithmetic sequences
  • Defining arithmetic mean
  • Computing for the arithmetic mean
  • Identifying the nth term of a arithmetic sequence
  • Identifying sum of a given arithmetic sequence
  • Solving problems involving arithmetic sequences
  • Defining geometric sequences
  • Differentiating arithmetic sequence from geometric sequence
  • Defining finite geometric sequence
  • Defining infinite geometric sequence
  • Defining geometric mean
  • Computing for geometric mean
  • Identifying the nth term of a geometric sequence
  • Determining the sum of a given geometric sequence
  • solves problems involving geometric sequences
  • Describing harmonic sequence
  • Describing fibonacci sequence
Year 11