Practice

All topics

Pick a topic to start practising.

• Addition and subtraction

  Add and subtract whole numbers using place value.

• Multiplication and division

  Times tables, long multiplication and exact division.

• Negative numbers

  Add, subtract, multiply and divide with negative numbers.

• Decimals

  Add, subtract, multiply and divide decimals, and write fractions as decimals.

• Order of operations

  Brackets, powers, × and ÷, then + and − (BIDMAS / PEMDAS).

• Fractions

  Simplify, add, subtract, multiply and divide fractions.

• Area and perimeter

  Rectangles, triangles, parallelograms and trapeziums.

• Percentages

  Percentages of amounts, one number as a percentage of another, and percentage change.

• Ratio and proportion

  Simplify ratios, share amounts and solve proportions.

• Powers and roots

  Squares, cubes and other powers, square and cube roots, and the index laws.

• HCF and LCM

  Highest common factors and lowest common multiples, with word problems.

• Probability

  The chance of an event as a fraction: counters, dice and repeated picks.

• Linear equations

  Solve one-step, two-step and both-sides equations.

• Averages and range

  Mean, median, mode and range of a data set.

• Pythagoras’ theorem

  Find missing sides of right triangles.

• Expanding brackets

  Multiply out single and double brackets.

• Quadratic equations

  Solve quadratics by square roots, factorising or the formula.

• Straight-line graphs

  Gradients and intercepts of straight lines, from equations and from two points.

• Simultaneous equations

  Solve two linear equations in x and y together.

• Trigonometry: exact values

  sin, cos and tan of special angles.

• Differentiation

  Differentiate polynomials with the power rule.