Fractions and rational numbers

Here is a list of all of the skills that cover exponents, roots, and logarithms! 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
Year 3
Year 4
Year 5
  • Understand exponents
  • Evaluate exponents
Year 6
Year 7
  • Write multiplication expressions using exponents
  • Evaluate exponents
  • Find the missing exponent or base
  • Exponents with decimal bases
  • Exponents with fractional bases
  • Square roots of perfect squares
  • Estimate square roots
Year 8
  • Understand rational numbers
  • Identify rational numbers
  • Read rational numbers on number lines
  • Rational numbers that shown by number line
  • Compare rational numbers
  • Put rational numbers in order
  • Add and subtract positive and negative decimals
  • Add and subtract positive and negative fractions
  • Add and subtract rational numbers
  • Multiply and divide positive and negative decimals
  • Multiply and divide positive and negative fractions
  • Multiply and divide rational numbers
  • Add, subtract, multiply and divide rational numbers
  • Simplify numerical expressions involving rational numbers
  • Evaluate numerical expressions involving rational numbers
  • Highest common factor and Lowest common multiple : mixed review
Year 9
  • Understanding exponents
  • Evaluate exponents
  • Solve equations with variable exponents
  • Exponents with negative bases
  • Exponents with decimal and fractional bases
  • Understanding negative exponents
  • Evaluate negative exponents
  • Multiplication with exponents
  • Division with exponents
  • Multiplication and division with exponents
  • Power rule
  • Identify equivalent expressions involving exponents
  • Square roots of perfect squares
  • Positive and negative square roots
  • Estimate positive and negative square roots
  • Relationship between squares and square roots
  • Solve equations involving squares and square roots
  • Cube roots of perfect cubes
  • Estimate cube roots
  • Convert between ordinary numbers and standard form
  • Compare numbers written in standard form
  • Powers of monomials
Year 10
  • Exponents : mixed review
  • Exponent with negative, decimal, fractional bases
  • Mixed power rule
  • Simplifying Exponential Expressions
  • Negative exponent
  • Multiplication with integer exponent
  • Division with integer exponent
  • Multiplication and division with integer exponent
  • Simplifying Exponential Expressions involving integer exponent
  • Fraction exponent
  • Power rule with integer exponent
  • Multiplication with fraction exponent
  • Division with fraction exponent
  • Multiplication and division with fraction exponent
  • Power rule with fraction exponent
  • Simplifying Exponential Expressions involving fraction exponent
  • Evaluate expressions using properties of exponent
  • Identify equivalent expressions involving integer and fraction exponent
Year 11