Key Stage 3 Revision Cards

Build confidence with 477 revision cards, each breaking a skill into clear steps. Study the worked examples, try five questions, then check your answers.

Explore the available skills. More topics are being added.

Search card titles, sections and categories. Try data types, charts, averages or probability

477 cards · 477 available

Algebra83 available

Algebraic notation

7 cards
Identifying terms and coefficientsKey Stage 3Open Card
Expressions, equations and formulaeKey Stage 3Open Card
Writing algebraic products without a multiplication signKey Stage 3Open Card
Writing algebraic division as a fractionKey Stage 3Open Card

Substitution

3 cards
Substitution into a formulaKey Stage 3Open Card
Substitution involving powers and rootsKey Stage 3Open Card

Function machines

2 cards
Reversing a function machineKey Stage 3Open Card

Simplifying expressions

2 cards
Simplifying by collecting like termsKey Stage 3Open Card
Simplifying powers of algebraic productsKey Stage 3Open Card

Multiplying and dividing algebraic terms

2 cards
Multiplying algebraic termsKey Stage 3Open Card

Expanding brackets

7 cards
Expanding a single bracketUsing arrowsKey Stage 3Open Card
Expanding a single bracketUsing the grid methodKey Stage 3Open Card
Expanding a bracket with a negative multiplierKey Stage 3Open Card
Expanding two bracketsUsing arrowsKey Stage 3Open Card
Expanding two bracketsUsing the grid methodKey Stage 3Open Card
Expanding the square of a bracketKey Stage 3Open Card

Factorising with common factors

3 cards
Taking out a common numerical factorKey Stage 3Open Card
Taking out a common algebraic factorKey Stage 3Open Card
Factorising three or more terms into one bracketKey Stage 3Open Card

Solving linear equations

12 cards
Solving equationsOne-step addition and subtractionKey Stage 3Open Card
Solving equationsOne-step multiplication and divisionKey Stage 3Open Card
Solving equationsTwo-step equationsKey Stage 3Open Card
Solving equations with a negative coefficientKey Stage 3Open Card
Solving equationsWith one bracketKey Stage 3Open Card
Solving equationsWith several bracketsKey Stage 3Open Card
Solving equationsWith fractionsKey Stage 3Open Card
Solving equationsWith unknowns on both sidesKey Stage 3Open Card
Forming an equation from wordsKey Stage 3Open Card
Forming an equation from a geometric diagramKey Stage 3Open Card
Solving an equation with a decimal coefficientKey Stage 3Open Card
Solving an equation by clearing decimals firstKey Stage 3Open Card

Rearranging formulae

2 cards
Rearranging a one-step formulaKey Stage 3Open Card
Rearranging a two-step formulaKey Stage 3Open Card

Inequalities

6 cards
Reading inequality notationKey Stage 3Open Card
Plotting inequalities on a number lineKey Stage 3Open Card
Solving linear inequalitiesKey Stage 3Open Card
Finding integer solutions to an inequalityKey Stage 3Open Card
Inequalities: dividing by a negativeKey Stage 3Open Card
Inequalities: multiplying by a negativeKey Stage 3Open Card

Sequences

13 cards
Continuing a sequence from a term-to-term ruleKey Stage 3Open Card
Generating terms from a position-to-term ruleKey Stage 3Open Card
Recognising triangular-number sequencesKey Stage 3Open Card
Recognising square-number sequencesKey Stage 3Open Card
Recognising cube-number sequencesKey Stage 3Open Card
Continuing Fibonacci-type sequencesKey Stage 3Open Card
The th term of an increasing linear sequenceKey Stage 3Open Card
The th term of a decreasing linear sequenceKey Stage 3Open Card
Finding a term from the th-term ruleKey Stage 3Open Card
Deciding whether a number is in a sequenceKey Stage 3Open Card
Continuing a geometric sequenceKey Stage 3Open Card
Using a recursive sequence ruleKey Stage 3Open Card

Coordinates and straight-line graphs

15 cards
Plotting coordinates in four quadrantsKey Stage 3Open Card
Reading coordinates from a graphKey Stage 3Open Card
Midpoint of a line segmentKey Stage 3Open Card
Length between two coordinatesKey Stage 3Open Card
Plotting horizontal and vertical linesKey Stage 3Open Card
Plotting a straight line from a tableKey Stage 3Open Card
Finding gradient from a graphKey Stage 3Open Card
Finding gradient from two pointsKey Stage 3Open Card
Writing a line equation from a graphKey Stage 3Open Card
Finding a line equation from a point and gradientKey Stage 3Open Card
Finding a line equation through two pointsKey Stage 3Open Card
Identifying parallel linesKey Stage 3Open Card
Finding an equation of a parallel lineKey Stage 3Open Card
Finding intercepts algebraicallyKey Stage 3Open Card

Curved graphs

5 cards
Plotting a quadratic graphKey Stage 3Open Card
Reading roots of a quadratic graphKey Stage 3Open Card
Reading a quadratic turning pointKey Stage 3Open Card
Finding the axis of symmetry of a quadraticKey Stage 3Open Card
Interpreting graphs in an unfamiliar contextKey Stage 3Open Card

Algebraic proof

4 cards
Disproving a statement with a counterexampleKey Stage 3Open Card
Writing expressions for even and odd integersKey Stage 3Open Card
Writing expressions for consecutive integersKey Stage 3Open Card
Proving two expressions are equivalentKey Stage 3Open Card
Number118 available

Place value and ordering

8 cards
Place value in whole numbersKey Stage 3Open Card
Reading and writing large numbersKey Stage 3Open Card
Ordering integers on a number lineKey Stage 3Open Card
Comparing numbers using inequality symbolsKey Stage 3Open Card
Multiplying by powers of tenKey Stage 3Open Card
Dividing by powers of tenKey Stage 3Open Card

Written calculations and negative numbers

24 cards
Dividing decimals by whole numbersKey Stage 3Open Card
Interpreting remainders in contextKey Stage 3Open Card
Adding and subtracting negative numbersKey Stage 3Open Card
Multiplying with negative numbersKey Stage 3Open Card
Dividing with negative numbersKey Stage 3Open Card
Calculations with negative decimalsKey Stage 3Open Card
Calculations with negative fractionsKey Stage 3Open Card
Order of operations (BIDMAS)Key Stage 3Open Card
Inverse operations to check a calculationKey Stage 3Open Card
Interpreting bank balances and transactionsKey Stage 3Open Card
Multiplying decimals using an integer calculationKey Stage 3Open Card
Dividing decimals by scaling both numbersKey Stage 3Open Card
Choosing how to round a remainder in a word problemKey Stage 3Open Card

Factors, multiples and counting

11 cards
Recognising prime numbersKey Stage 3Open Card
Prime factorisation using a factor treeKey Stage 3Open Card
Writing prime factorisation in index formKey Stage 3Open Card
Highest common factor by listingKey Stage 3Open Card
Highest common factor from prime factorsKey Stage 3Open Card
Lowest common multiple by listingKey Stage 3Open Card
Lowest common multiple from prime factorsKey Stage 3Open Card
Finding missing digits using divisibilityKey Stage 3Open Card
Systematic listing without repetitionKey Stage 3Open Card

Powers and roots

14 cards
Powers of positive integersKey Stage 3Open Card
Powers of negative numbersKey Stage 3Open Card
Multiplying powers with the same baseKey Stage 3Open Card
Dividing powers with the same baseKey Stage 3Open Card

Fractions

37 cards
Reading fractions from diagramsKey Stage 3Open Card
Numerators and denominatorsKey Stage 3Open Card
Comparing fractionsWith the same denominatorKey Stage 3Open Card
Comparing fractionsWith different denominatorsKey Stage 3Open Card
Adding fractionsWith the same denominatorKey Stage 3Open Card
Adding fractionsWith different denominatorsKey Stage 3Open Card
Subtracting fractionsWith the same denominatorKey Stage 3Open Card
Subtracting fractionsWith different denominatorsKey Stage 3Open Card
Multiplying a fraction by a whole numberKey Stage 3Open Card
Dividing a fraction by a whole numberKey Stage 3Open Card
Dividing a whole number by a fractionKey Stage 3Open Card
Fractions greater than oneKey Stage 3Open Card
Improper fractions to mixed numbersKey Stage 3Open Card
Mixed numbers to improper fractionsKey Stage 3Open Card
Subtracting mixed numbersKey Stage 3Open Card
Multiplying mixed numbersKey Stage 3Open Card
Fraction of an amountbar modelKey Stage 3Open Card
Fraction of an amountcalculationKey Stage 3Open Card
Reverse fractions of an amountbar modelKey Stage 3Open Card
Reverse fractions of an amountcalculationKey Stage 3Open Card
Expressing one amount as a fraction of anotherKey Stage 3Open Card
Finding the fraction remainingKey Stage 3Open Card
Successive fractions of a remaining amountKey Stage 3Open Card
Cancelling common factors before multiplying fractionsKey Stage 3Open Card
Cancelling common factors before dividing fractionsKey Stage 3Open Card
Adding mixed numbers with a carry into the whole partKey Stage 3Open Card
Subtracting mixed numbers by borrowing one wholeKey Stage 3Open Card
Finding a missing fraction in a sumKey Stage 3Open Card
Finding a missing fraction in a differenceKey Stage 3Open Card

Fractions, decimals and percentages

7 cards
Fractions to terminating decimalsKey Stage 3Open Card
Terminating decimals to fractionsKey Stage 3Open Card
Ordering fractions, decimals and percentagesKey Stage 3Open Card

Accuracy and estimation

7 cards
Rounding to the nearest ten, hundred or thousandKey Stage 3Open Card
Rounding to decimal placesKey Stage 3Open Card
Rounding to significant figuresKey Stage 3Open Card
Checking the size of a calculator answerKey Stage 3Open Card
Rounding sensibly in contextKey Stage 3Open Card

Standard form

9 cards
Writing large numbers in standard formKey Stage 3Open Card
Writing small numbers in standard formKey Stage 3Open Card
Standard form to ordinary numbersKey Stage 3Open Card
Ordering numbers in standard formKey Stage 3Open Card
Multiplying numbers in standard formKey Stage 3Open Card
Dividing numbers in standard formKey Stage 3Open Card
Adding numbers in standard formKey Stage 3Open Card
Subtracting numbers in standard formKey Stage 3Open Card
Interpreting standard form on a calculatorKey Stage 3Open Card

Rounding, estimation and bounds

1 card
Checking whether an estimate is an overestimate or underestimateKey Stage 3Open Card
Ratio, proportion and rates of change68 available

Ratio notation and sharing

14 cards
Writing a ratio from quantitiesKey Stage 3Open Card
Simplifying an integer ratioKey Stage 3Open Card
Simplifying a ratio involving decimalsKey Stage 3Open Card
Simplifying a ratio involving fractionsKey Stage 3Open Card
Converting units before simplifying a ratioKey Stage 3Open Card
Sharing an amount in a two-part ratioKey Stage 3Open Card
Finding the whole from one ratio shareKey Stage 3Open Card
Converting a part-to-part ratio into fractionsKey Stage 3Open Card
Converting fractions into a ratioKey Stage 3Open Card
Distinguishing part-to-part and part-to-whole ratiosKey Stage 3Open Card
Solving an equality of ratiosKey Stage 3Open Card
Checking a ratio allocation against a totalKey Stage 3Open Card

Proportion in context

11 cards
Mixing quantities in a given ratioKey Stage 3Open Card
Actual distances from a mapKey Stage 3Open Card
Map distances from actual distancesKey Stage 3Open Card
Converting currencies from a given rateKey Stage 3Open Card
Inverse proportion in worker-time problemsKey Stage 3Open Card
Distinguishing direct proportion from a non-zero-intercept lineKey Stage 3Open Card

Percentages

16 cards
Finding 10%, 5% and 1% mentallyKey Stage 3Open Card
Finding a percentage by combining simple percentagesKey Stage 3Open Card
Finding a percentage using a multiplierKey Stage 3Open Card
Finding percentages greater than 100%Key Stage 3Open Card
Expressing one amount as a percentage of anotherKey Stage 3Open Card
Finding a percentage increaseKey Stage 3Open Card
Finding a percentage decreaseKey Stage 3Open Card
Increasing an amount by a percentageKey Stage 3Open Card
Decreasing an amount by a percentageKey Stage 3Open Card
Finding an original amount after an increaseKey Stage 3Open Card
Finding an original amount after a decreaseKey Stage 3Open Card
Comparing quantities using percentagesKey Stage 3Open Card
Calculating profit as a percentage of costKey Stage 3Open Card
Calculating loss as a percentage of costKey Stage 3Open Card
Calculating VAT from a stated rateKey Stage 3Open Card
Calculating simple interestKey Stage 3Open Card

Direct and inverse proportion

7 cards
Recognising direct proportion from a tableKey Stage 3Open Card
Recognising direct proportion from a graphKey Stage 3Open Card
Using a direct proportion equationKey Stage 3Open Card
Forming from given valuesKey Stage 3Open Card
Recognising inverse proportion from a tableKey Stage 3Open Card
Recognising inverse proportion from a graphKey Stage 3Open Card
Using an inverse proportion equationKey Stage 3Open Card

Units and compound measures

16 cards
Converting metric lengthsKey Stage 3Open Card
Converting between volume and capacityKey Stage 3Open Card
Converting between hours and decimal hoursKey Stage 3Open Card
Speed from distance and timeKey Stage 3Open Card
Distance from speed and timeKey Stage 3Open Card
Time from distance and speedKey Stage 3Open Card
Average speed over a whole journeyKey Stage 3Open Card
Density from mass and volumeKey Stage 3Open Card
Mass from density and volumeKey Stage 3Open Card
Volume from mass and densityKey Stage 3Open Card
Unit prices and rates of payKey Stage 3Open Card

Motion graphs and rates

4 cards
Reading a distance-time graphKey Stage 3Open Card
Drawing a distance-time graphKey Stage 3Open Card
Speed from a distance-time graphKey Stage 3Open Card
Comparing journeys on a distance-time graphKey Stage 3Open Card
Geometry and measures128 available

Angle facts

39 cards
Angles on a straight lineKey Stage 3Open Card
Angles on a straight line with algebraKey Stage 3Open Card
Vertically opposite anglesKey Stage 3Open Card
Vertically opposite angles with algebraKey Stage 3Open Card
Corresponding angles in parallel linesKey Stage 3Open Card
Alternate angles in parallel linesKey Stage 3Open Card
Co-interior angles in parallel linesKey Stage 3Open Card
Angles in parallel lines with algebraKey Stage 3Open Card
Angles in a triangle with algebraKey Stage 3Open Card
Angles in an isosceles triangleKey Stage 3Open Card
Angles in an isosceles triangle with algebraKey Stage 3Open Card
Angles in an equilateral triangleKey Stage 3Open Card
Angles in an equilateral triangle with algebraKey Stage 3Open Card
Triangle angle facts: summaryKey Stage 3Open Card
Angles in a quadrilateralKey Stage 3Open Card
Angles in a quadrilateral with algebraKey Stage 3Open Card
Angles in parallelograms and rhombusesKey Stage 3Open Card
Angles in parallelograms and rhombuses with algebraKey Stage 3Open Card
Angles in a trapezium with algebraKey Stage 3Open Card
Angles in a kite with algebraKey Stage 3Open Card
Angles in rectangles and squaresKey Stage 3Open Card
Angles in rectangles and squares with algebraKey Stage 3Open Card
Quadrilateral properties: summaryKey Stage 3Open Card
Exterior angle of a triangleKey Stage 3Open Card
Number of sides from an exterior angleKey Stage 3Open Card
Number of sides from an interior angleKey Stage 3Open Card
Giving reasons in an angle proofKey Stage 3Open Card
Sum of interior angles of a polygonKey Stage 3Open Card
Interior angles of a regular polygonKey Stage 3Open Card
Interior angles of an irregular polygonKey Stage 3Open Card
Exterior angles of a polygon add to 360°Key Stage 3Open Card
Exterior angles of a regular polygonKey Stage 3Open Card
Exterior angles of an irregular polygonKey Stage 3Open Card
Number of sides of a regular polygonKey Stage 3Open Card
Angles in a polygon with algebraKey Stage 3Open Card

Perimeter and area

15 cards
Perimeter of a compound rectilinear shapeKey Stage 3Open Card
Area of a compound shapeTwo rectangles attachedKey Stage 3Open Card
Area of a compound shapeA rectangle and a triangleKey Stage 3Open Card
Finding a missing length from an areaKey Stage 3Open Card
Circumference of a circleKey Stage 3Open Card
Radius or diameter from a circumferenceKey Stage 3Open Card
Radius from the area of a circleKey Stage 3Open Card
Area of a semicircle or quadrantKey Stage 3Open Card
Perimeter of a semicircle or quadrantKey Stage 3Open Card

Geometric language and shapes

21 cards
Points, lines, line segments and raysKey Stage 3Open Card
Parallel and perpendicular linesKey Stage 3Open Card
Naming angles using three lettersKey Stage 3Open Card
Classifying acute, obtuse and reflex anglesKey Stage 3Open Card
Classifying triangles by sidesKey Stage 3Open Card
Classifying triangles by anglesKey Stage 3Open Card
Properties of a rectangleKey Stage 3Open Card
Properties of a parallelogramKey Stage 3Open Card
Properties of a trapeziumKey Stage 3Open Card
Regular and irregular polygonsKey Stage 3Open Card
Order of rotational symmetryKey Stage 3Open Card
Circle vocabularyradius, diameter and chordKey Stage 3Open Card
Circle vocabularytangent, arc, sector and segmentKey Stage 3Open Card
Faces, edges and vertices of solidsKey Stage 3Open Card
Identifying prisms and pyramidsKey Stage 3Open Card

Constructions, loci and bearings

10 cards
Measuring an angle with a protractorKey Stage 3Open Card
Drawing a specified angleKey Stage 3Open Card
Constructing a triangle from three sidesKey Stage 3Open Card
Constructing a triangle from two sides and an angleKey Stage 3Open Card
Constructing a perpendicular bisectorKey Stage 3Open Card
Constructing an angle bisectorKey Stage 3Open Card
Constructing a perpendicular from a point on a lineKey Stage 3Open Card
Constructing a perpendicular from a point off a lineKey Stage 3Open Card
Constructing a 60-degree angleKey Stage 3Open Card

Transformations and coordinates

10 cards
Finding the centre of enlargementKey Stage 3Open Card
Describing an enlargementKey Stage 3Open Card
Completing a shape from coordinatesKey Stage 3Open Card
Enlargementspositive scale factorsKey Stage 3Open Card

Congruence and similarity

10 cards
Recognising congruent trianglesKey Stage 3Open Card
Proving triangles congruentKey Stage 3Open Card
Recognising similar shapesKey Stage 3Open Card
Finding a length scale factorKey Stage 3Open Card
Finding a missing length in similar shapesKey Stage 3Open Card
Proving triangles similarKey Stage 3Open Card

Volume and surface area

8 cards
Volume of a triangular prismKey Stage 3Open Card
Volume of a prism with a compound cross-sectionKey Stage 3Open Card
Finding a missing dimension of a prismKey Stage 3Open Card
Surface area of a cylinderKey Stage 3Open Card

Pythagoras

2 cards
Identifying the hypotenuseKey Stage 3Open Card
Checking whether a triangle is right-angledKey Stage 3Open Card

Pythagoras’ theorem

2 cards
Pythagoras - finding the hypotenuseKey Stage 3Open Card
Pythagoras - finding a shorter sideKey Stage 3Open Card

Right-angled trigonometry

10 cards
Identifying opposite and adjacent sidesKey Stage 3Open Card
Choosing sine, cosine or tangentKey Stage 3Open Card
Finding an angle using inverse sineKey Stage 3Open Card
Finding an angle using inverse cosineKey Stage 3Open Card
Finding an angle using inverse tangentKey Stage 3Open Card
Finding a length with the sine ratioKey Stage 3Open Card
Finding a length with the cosine ratioKey Stage 3Open Card
Finding a length with the tangent ratioKey Stage 3Open Card

Vectors

1 card
Probability28 available

Probability language and single events

8 cards
Using the probability scaleKey Stage 3Open Card
Writing probability as a fraction, decimal or percentageKey Stage 3Open Card
Recognising equally likely outcomesKey Stage 3Open Card
Calculating a theoretical probabilityKey Stage 3Open Card
Finding a complementary probabilityKey Stage 3Open Card
Finding a missing probabilityKey Stage 3Open Card
Probabilities of mutually exclusive eventsKey Stage 3Open Card
Recognising exhaustive outcomesKey Stage 3Open Card

Experiments and expected outcomes

7 cards
Recording outcomes in a frequency tableKey Stage 3Open Card
Calculating relative frequencyKey Stage 3Open Card
Estimating probability from experimental resultsKey Stage 3Open Card
Estimating an expected frequencyKey Stage 3Open Card
Comparing experimental and theoretical probabilityKey Stage 3Open Card
Explaining the effect of sample sizeKey Stage 3Open Card
Assessing fairness from resultsKey Stage 3Open Card

Lists, tables and sets

13 cards
Systematic lists of combined outcomesKey Stage 3Open Card
Drawing a sample-space diagramKey Stage 3Open Card
Using a sample-space diagram to calculate probabilityKey Stage 3Open Card
Completing a two-way tableKey Stage 3Open Card
Probability from a two-way tableKey Stage 3Open Card
Completing a frequency treeKey Stage 3Open Card
Probability from a frequency treeKey Stage 3Open Card
Placing values in a two-set Venn diagramKey Stage 3Open Card
Finding a missing frequency in a Venn diagramKey Stage 3Open Card
Reading union and intersection notationKey Stage 3Open Card
Reading complement notationKey Stage 3Open Card
Shading regions in a two-set Venn diagramKey Stage 3Open Card
Probability from a Venn diagramKey Stage 3Open Card
Statistics52 available

Data and sampling

7 cards
Categorical and numerical dataKey Stage 3Open Card
Discrete and continuous dataKey Stage 3Open Card
Primary and secondary dataKey Stage 3Open Card
Identifying biased samplesKey Stage 3Open Card
Critiquing questionnaire questionsKey Stage 3Open Card

Tables and basic charts

20 cards
Constructing a frequency tableKey Stage 3Open Card
Reading a frequency tableKey Stage 3Open Card
Grouping data into class intervalsKey Stage 3Open Card
Interpreting a pictogram keyKey Stage 3Open Card
Reading a vertical line chartKey Stage 3Open Card
Drawing a vertical line chartKey Stage 3Open Card
Reading a comparative bar chartKey Stage 3Open Card
Calculating pie-chart anglesKey Stage 3Open Card
Finding frequencies from a pie chartKey Stage 3Open Card
Reading a stem-and-leaf diagramKey Stage 3Open Card
Drawing a stem-and-leaf diagramKey Stage 3Open Card
Comparing back-to-back stem-and-leaf diagramsKey Stage 3Open Card
Reading a time-series graphKey Stage 3Open Card
Drawing a time-series graphKey Stage 3Open Card
Choosing a suitable statistical diagramKey Stage 3Open Card
Spotting misleading graphsKey Stage 3Open Card

Averages and spread

15 cards
Finding the mean from a listKey Stage 3Open Card
Finding the median from an odd number of valuesKey Stage 3Open Card
Finding the median from an even number of valuesKey Stage 3Open Card
Finding the mode from a listKey Stage 3Open Card
Finding the range from a listKey Stage 3Open Card
Finding a missing value from the meanKey Stage 3Open Card
Finding the mean from a frequency tableKey Stage 3Open Card
Finding the median from a frequency tableKey Stage 3Open Card
Finding the mode from a frequency tableKey Stage 3Open Card
Estimating the mean from grouped dataKey Stage 3Open Card
Identifying a modal classKey Stage 3Open Card
Identifying a median classKey Stage 3Open Card
Choosing an appropriate averageKey Stage 3Open Card
Effect of an outlier on averages and rangeKey Stage 3Open Card
Comparing two distributions using average and spreadKey Stage 3Open Card

Scatter graphs

8 cards
Describing direction and strength of correlationKey Stage 3Open Card
Explaining why correlation does not prove causationKey Stage 3Open Card
Drawing a line of best fitKey Stage 3Open Card
Making an interpolated predictionKey Stage 3Open Card
Making an extrapolated predictionKey Stage 3Open Card
Explaining the risk of extrapolationKey Stage 3Open Card
Identifying an outlier on a scatter graphKey Stage 3Open Card

Statistical diagrams

2 cards
Finding the total from one known pie-chart sectorKey Stage 3Open Card
Completing a pie-chart table from one known rowKey Stage 3Open Card