Maths help
Short answers to the most common maths questions, with examples, board walkthroughs and tasks to practise.
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- Years 6–9How to calculate percentagesHow do you calculate a percentage?
- Years 6–9Solving equations step by stepHow do you solve an equation?
- Years 8–9 and upper secondaryPythagoras' theorem step by stepWhat does Pythagoras' theorem say and how do you use it?
- Years 4–9 and upper secondaryMean, median and modeHow do you work out the mean, median and mode?
- Years 5–8Adding and subtracting fractionsHow do you add and subtract fractions?
- Years 6–9Negative numbersHow do you calculate with negative numbers?
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Percent
All- Years 5–9Fractions, decimals and percentagesHow do you convert fractions to decimals and percentages?
- Years 6–9How to calculate percentagesHow do you calculate a percentage?
- Years 7–9 and upper secondaryDiscount and VATHow do you work out a discount and VAT?
- Years 7–9Percentage change: increase and decreaseHow do you work out a percentage increase or decrease?
- Years 8–9 and upper secondaryChange factor (percentage multiplier)What is a change factor and how do you use it?
- Years 8–9 and upper secondaryInterest and compound interestHow do you work out interest and compound interest?
- Years 8–9 and upper secondaryPercent and percentage pointsWhat is the difference between percent and percentage points?
Equations
All- Years 6–9Solving equations step by stepHow do you solve an equation?
- Years 7–9 and upper secondaryEquations with bracketsHow do you solve an equation with brackets?
- Years 7–9Equations with x on both sidesHow do you solve an equation with x on both sides?
- Years 8–9 and upper secondaryEquations with fractionsHow do you solve an equation with fractions?
- Year 9 and upper secondarySimultaneous equations (systems of equations)How do you solve simultaneous equations?
- Year 9 and upper secondarySolving inequalitiesHow do you solve an inequality?
Fractions
AllNumbers and arithmetic
AllGeometry
All- Years 4–9Angles: types, angle sum, angles on a lineHow do you work out a missing angle?
- Years 4–9Area and perimeterHow do you work out area and perimeter?
- Years 5–9Scale: maps, drawings and enlargementsHow do you calculate with scale?
- Years 5–9Volume of a cuboid, prism and cylinderHow do you work out volume?
- Years 6–9Area and circumference of a circleHow do you work out the area and circumference of a circle?
- Years 8–9 and upper secondaryPythagoras' theorem step by stepWhat does Pythagoras' theorem say and how do you use it?
Statistics and probability
AllAlgebra and functions
All- Years 7–9 and upper secondarySimplifying expressionsHow do you simplify an expression?
- Years 8–9 and upper secondaryExpanding bracketsHow do you expand brackets?
- Year 9 and upper secondaryEquation of a straight line: y = kx + mHow do you find the equation of a straight line?
- Year 9 and upper secondaryFactorising expressionsHow do you factorise an expression?
Upper secondary
All- Maths 1–3Exponential functions: y = C · aˣWhat is an exponential function, and what do C and a mean?
- Maths 2–3Logarithms and lgWhat does lg mean, and how do you solve equations with logarithms?
- Maths 2The pq formula: solving quadratic equationsHow do you use the pq formula?
- Maths 2The zero product ruleWhat is the zero product rule?
- Maths 3Derivatives and differentiation rulesWhat is a derivative, and how do you differentiate?
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