# Kixplo: maths practice for Years 5 to 13, following the national curriculum in England

> Free maths practice for Years 5 to 13 in England: a short explanation of every topic, a game that shows it, new exercises every time, a test with a score and printable worksheets.

## [Year 5](https://kixplo.com/uk/en/maths/year-5.md)

- [Place value to a million](https://kixplo.com/uk/en/maths/year-5/place-value-to-a-million.md)
- [Addition and subtraction](https://kixplo.com/uk/en/maths/year-5/addition-and-subtraction.md)
- [Adding and subtracting large numbers](https://kixplo.com/uk/en/maths/year-5/adding-and-subtracting-large-numbers.md)
- [Multiplication and division](https://kixplo.com/uk/en/maths/year-5/multiplication-and-division.md)
- [Factors and prime numbers](https://kixplo.com/uk/en/maths/year-5/factors-and-prime-numbers.md)
- [Fractions](https://kixplo.com/uk/en/maths/year-5/fractions.md)
- [Mixed numbers and finding the whole](https://kixplo.com/uk/en/maths/year-5/mixed-numbers-and-finding-the-whole.md)
- [Decimals to three places](https://kixplo.com/uk/en/maths/year-5/decimals-to-three-places.md)
- [Quadrilaterals and diagonals](https://kixplo.com/uk/en/maths/year-5/quadrilaterals-and-diagonals.md)
- [Faces, edges and vertices](https://kixplo.com/uk/en/maths/year-5/faces-edges-and-vertices.md)
- [Converting length and time](https://kixplo.com/uk/en/maths/year-5/converting-length-and-time.md)
- [Tables and charts](https://kixplo.com/uk/en/maths/year-5/tables-and-charts.md)
- [Frequency tables](https://kixplo.com/uk/en/maths/year-5/frequency-tables.md)

## [Year 6](https://kixplo.com/uk/en/maths/year-6.md)

- [Long multiplication and division](https://kixplo.com/uk/en/maths/year-5/adding-and-subtracting-large-numbers.md)
- [The order of operations](https://kixplo.com/uk/en/maths/year-5/multiplication-and-division.md)
- [Simplifying, comparing and adding fractions](https://kixplo.com/uk/en/maths/year-5/mixed-numbers-and-finding-the-whole.md)
- [Decimals and fractions together](https://kixplo.com/uk/en/maths/year-5/decimals-to-three-places.md)
- [Area of triangles and parallelograms](https://kixplo.com/uk/en/maths/year-5/faces-edges-and-vertices.md)
- [Volume of cuboids and prisms](https://kixplo.com/uk/en/maths/year-6/volume-of-cuboids-and-prisms.md)
- [Pie charts](https://kixplo.com/uk/en/maths/year-5/tables-and-charts.md)
- [The mean](https://kixplo.com/uk/en/maths/year-6/the-mean.md)

## [Year 7](https://kixplo.com/uk/en/maths/year-7.md)

- [Properties of number](https://kixplo.com/uk/en/maths/year-7/properties-of-number.md)
- [Multiplying and dividing decimals](https://kixplo.com/uk/en/maths/year-7/multiplying-and-dividing-decimals.md)
- [Area of composite shapes](https://kixplo.com/uk/en/maths/year-7/area-of-composite-shapes.md)
- [Multiplying and dividing fractions](https://kixplo.com/uk/en/maths/year-7/multiplying-and-dividing-fractions.md)
- [Reading graphs](https://kixplo.com/uk/en/maths/year-7/reading-graphs.md)
- [Ratio, proportion and scale](https://kixplo.com/uk/en/maths/year-7/ratio-and-proportion.md)
- [Transformations and congruent shapes](https://kixplo.com/uk/en/maths/year-7/transformations.md)

## [Year 8](https://kixplo.com/uk/en/maths/year-8.md)

- [Linear graphs](https://kixplo.com/uk/en/maths/year-7/reading-graphs.md)
- [Equations and word problems](https://kixplo.com/uk/en/maths/year-8/equations.md)
- [Percentages](https://kixplo.com/uk/en/maths/year-8/percentages.md)
- [Frequency tables and charts](https://kixplo.com/uk/en/maths/year-8/frequency-and-charts.md)
- [Averages and range](https://kixplo.com/uk/en/maths/year-8/averages-and-range.md)
- [Circles and cylinders](https://kixplo.com/uk/en/maths/year-8/circles-and-cylinders.md)
- [Angles and parallel lines](https://kixplo.com/uk/en/maths/year-8/angles-and-parallel-lines.md)
- [Angles in a kite](https://kixplo.com/uk/en/maths/year-8/angles-in-a-kite.md)
- [Parallel lines and trapezia](https://kixplo.com/uk/en/maths/year-8/parallel-lines-and-trapezia.md)
- [Angles, sides and diagonals of a parallelogram](https://kixplo.com/uk/en/maths/year-8/parallelogram-angles-sides.md)
- [Which quadrilateral is it?](https://kixplo.com/uk/en/maths/year-8/which-quadrilateral.md)

## [Year 9](https://kixplo.com/uk/en/maths/year-9.md)

- [Congruent triangles and triangle facts](https://kixplo.com/uk/en/maths/year-9/congruent-triangles.md)
- [Similar triangles](https://kixplo.com/uk/en/maths/year-9/similar-triangles.md)
- [Pythagoras' theorem](https://kixplo.com/uk/en/maths/year-9/pythagoras.md)
- [Probability](https://kixplo.com/uk/en/maths/year-9/probability.md)
- [Relative frequency](https://kixplo.com/uk/en/maths/year-8/frequency-and-charts.md)
- [Expanding brackets and factorising](https://kixplo.com/uk/en/maths/year-9/expanding-brackets.md)
- [Functions](https://kixplo.com/uk/en/maths/year-7/reading-graphs.md)
- [Reading values from a line graph](https://kixplo.com/uk/en/maths/year-8/averages-and-range.md)
- [Simultaneous equations on a graph](https://kixplo.com/uk/en/maths/year-9/simultaneous-equations-on-a-graph.md)
- [Kites: diagonals and coordinates](https://kixplo.com/uk/en/maths/year-8/angles-in-a-kite.md)
- [Isosceles triangles: the converse theorems](https://kixplo.com/uk/en/maths/year-9/isosceles-triangles.md)
- [Sides and angles in a triangle](https://kixplo.com/uk/en/maths/year-9/sides-and-angles-in-a-triangle.md)
- [Area and perimeter of a trapezium](https://kixplo.com/uk/en/maths/year-8/parallel-lines-and-trapezia.md)
- [Is it a parallelogram?](https://kixplo.com/uk/en/maths/year-8/parallelogram-angles-sides.md)
- [Rectangles, rhombuses and squares](https://kixplo.com/uk/en/maths/year-8/which-quadrilateral.md)
- [Events in two stages and the area model](https://kixplo.com/uk/en/maths/year-9/two-stage-events.md)
- [Reading a function from its graph](https://kixplo.com/uk/en/maths/year-9/function-graphs.md)

## [Year 10](https://kixplo.com/uk/en/maths/year-10.md)

- [Factorising quadratics](https://kixplo.com/uk/en/maths/year-9/expanding-brackets.md)
- [Parallel lines and gradients](https://kixplo.com/uk/en/maths/year-7/reading-graphs.md)
- [Simultaneous equations](https://kixplo.com/uk/en/maths/year-9/simultaneous-equations-on-a-graph.md)
- [Inequalities](https://kixplo.com/uk/en/maths/year-10/inequalities.md)
- [Volume of a cone](https://kixplo.com/uk/en/maths/year-8/circles-and-cylinders.md)
- [Quadratic graphs and equations](https://kixplo.com/uk/en/maths/year-10/quadratic-graphs.md)
- [The 30-60-90 triangle](https://kixplo.com/uk/en/maths/year-9/sides-and-angles-in-a-triangle.md)
- [Parallelograms on a coordinate grid](https://kixplo.com/uk/en/maths/year-8/parallelogram-angles-sides.md)
- [Tree diagrams and expected frequency](https://kixplo.com/uk/en/maths/year-9/two-stage-events.md)
- [Solving simultaneous equations from a graph](https://kixplo.com/uk/en/maths/year-10/simultaneous-equations-from-a-graph.md)
- [Turning points from a graph](https://kixplo.com/uk/en/maths/year-9/function-graphs.md)
- [Laws of indices](https://kixplo.com/uk/en/maths/year-10/laws-of-indices.md)
- [Forming and solving equations from situations](https://kixplo.com/uk/en/maths/year-10/equations-from-situations.md)
- [Reading charts, graphs and formulae](https://kixplo.com/uk/en/maths/year-10/reading-charts-and-graphs.md)
- [Distance, speed and time](https://kixplo.com/uk/en/maths/year-10/distance-speed-and-time.md)
- [Linear models in money matters](https://kixplo.com/uk/en/maths/year-10/linear-models.md)
- [Buying, selling, profit and wages](https://kixplo.com/uk/en/maths/year-10/money-problems.md)
- [Angles in polygons and tilings](https://kixplo.com/uk/en/maths/year-10/polygon-angles-and-tilings.md)
- [Perimeter and area together](https://kixplo.com/uk/en/maths/year-10/perimeter-and-area-together.md)
- [Composite areas and scale factors](https://kixplo.com/uk/en/maths/year-10/composite-areas-and-scale-factors.md)
- [Perimeters and scale factors](https://kixplo.com/uk/en/maths/year-10/perimeters-and-scale-factors.md)
- [Ratio, proportion and scale](https://kixplo.com/uk/en/maths/year-10/ratio-proportion-and-scale.md)
- [Similar triangles in context](https://kixplo.com/uk/en/maths/year-10/similar-triangles-in-context.md)
- [Trigonometry in context](https://kixplo.com/uk/en/maths/year-10/trigonometry-in-context.md)
- [Independent and dependent events](https://kixplo.com/uk/en/maths/year-10/independent-and-dependent-events.md)
- [Spheres, pyramids and cones](https://kixplo.com/uk/en/maths/year-10/spheres-pyramids-and-cones.md)
- [Plans and elevations](https://kixplo.com/uk/en/maths/year-10/plans-and-elevations.md)
- [Polygons on a coordinate grid](https://kixplo.com/uk/en/maths/year-10/polygons-on-a-coordinate-grid.md)

## [Year 11](https://kixplo.com/uk/en/maths/year-11.md)

- [Trigonometry in right triangles](https://kixplo.com/uk/en/maths/year-11/trigonometry-in-right-angled-triangles.md)
- [Similar shapes: lengths and areas](https://kixplo.com/uk/en/maths/year-11/similar-shapes-lengths-and-areas.md)
- [Equations of straight lines](https://kixplo.com/uk/en/maths/year-11/equations-of-straight-lines.md)
- [Surds, factorising and algebraic fractions](https://kixplo.com/uk/en/maths/year-11/surds-factorising-and-algebraic-fractions.md)
- [Quadratic equations and inequalities](https://kixplo.com/uk/en/maths/year-11/quadratic-equations-and-inequalities.md)
- [Translating and reflecting graphs](https://kixplo.com/uk/en/maths/year-11/translating-and-reflecting-graphs.md)
- [Rates of change](https://kixplo.com/uk/en/maths/year-11/rates-of-change.md)
- [Averages, quartiles and histograms](https://kixplo.com/uk/en/maths/year-11/averages-quartiles-and-histograms.md)
- [Venn diagrams, trees and conditional probability](https://kixplo.com/uk/en/maths/year-11/venn-diagrams-trees-and-conditional-probability.md)
- [Circle theorems](https://kixplo.com/uk/en/maths/year-11/circle-theorems.md)
- [The sine and cosine rules](https://kixplo.com/uk/en/maths/year-11/sine-and-cosine-rules.md)
- [The equation of a circle](https://kixplo.com/uk/en/maths/year-11/equation-of-a-circle.md)
- [Composite and inverse functions](https://kixplo.com/uk/en/maths/year-11/composite-and-inverse-functions.md)
- [Exponential growth and decay](https://kixplo.com/uk/en/maths/year-11/growth-and-decay.md)
- [Indices and exponential graphs](https://kixplo.com/uk/en/maths/year-11/indices-and-exponential-graphs.md)
- [Growth, decay and compound interest](https://kixplo.com/uk/en/maths/year-11/growth-decay-and-compound-interest.md)
- [Vectors: adding, subtracting and scaling](https://kixplo.com/uk/en/maths/year-11/vectors-adding-subtracting-and-scaling.md)
- [Diagonals and angles in a cuboid](https://kixplo.com/uk/en/maths/year-11/diagonals-and-angles-in-a-cuboid.md)
- [Volumes of prisms and pyramids](https://kixplo.com/uk/en/maths/year-11/volumes-of-prisms-and-pyramids.md)
- [Arithmetic and geometric sequences](https://kixplo.com/uk/en/maths/year-11/arithmetic-and-geometric-sequences.md)
- [Vectors in geometric figures](https://kixplo.com/uk/en/maths/year-11/vectors-in-geometric-figures.md)
- [Quadratic models in context](https://kixplo.com/uk/en/maths/year-11/quadratic-models-in-context.md)
- [Inequalities in two variables on a graph](https://kixplo.com/uk/en/maths/year-11/inequalities-in-two-variables-on-a-graph.md)

## [Year 12](https://kixplo.com/uk/en/maths/year-12.md)

- [Reciprocal graphs and their transformations](https://kixplo.com/uk/en/maths/year-12/reciprocal-graphs-and-their-transformations.md)
- [The equation of a circle](https://kixplo.com/uk/en/maths/year-11/equation-of-a-circle.md)
- [Circles and lines: tangents and intersections](https://kixplo.com/uk/en/maths/year-12/circles-and-lines-tangents-and-intersections.md)
- [The sine rule: the ambiguous case](https://kixplo.com/uk/en/maths/year-11/sine-and-cosine-rules.md)
- [Differentiating polynomials](https://kixplo.com/uk/en/maths/year-11/rates-of-change.md)
- [Root functions: domain and turning points](https://kixplo.com/uk/en/maths/year-12/root-functions-domain-and-turning-points.md)
- [Optimisation with derivatives](https://kixplo.com/uk/en/maths/year-12/optimisation-with-derivatives.md)
- [Stationary points in modelling](https://kixplo.com/uk/en/maths/year-12/stationary-points-in-modelling.md)
- [Integration as the reverse of differentiation](https://kixplo.com/uk/en/maths/year-12/integration-as-the-reverse-of-differentiation.md)
- [Definite integrals and areas](https://kixplo.com/uk/en/maths/year-12/definite-integrals-and-areas.md)
- [Standard deviation](https://kixplo.com/uk/en/maths/year-11/averages-quartiles-and-histograms.md)
- [Scatter diagrams and regression lines](https://kixplo.com/uk/en/maths/year-12/scatter-diagrams-and-regression-lines.md)
- [Second derivatives and kinematics](https://kixplo.com/uk/en/maths/year-12/second-derivatives-and-kinematics.md)
- [The basic trigonometric identities](https://kixplo.com/uk/en/maths/year-12/the-basic-trigonometric-identities.md)
- [Integration as accumulation: kinematics and areas](https://kixplo.com/uk/en/maths/year-12/integration-as-accumulation.md)
- [Counting, binomial coefficients and the binomial distribution](https://kixplo.com/uk/en/maths/year-12/counting-and-the-binomial-distribution.md)
- [Exponential equations](https://kixplo.com/uk/en/maths/year-11/indices-and-exponential-graphs.md)
- [Logarithms: laws, graphs and equations](https://kixplo.com/uk/en/maths/year-12/logarithms-laws-graphs-and-equations.md)
- [Exponential growth and decay models](https://kixplo.com/uk/en/maths/year-11/growth-decay-and-compound-interest.md)
- [The number e and exponential graphs](https://kixplo.com/uk/en/maths/year-12/the-number-e-and-exponential-graphs.md)
- [Perpendicular bisectors and nearest points](https://kixplo.com/uk/en/maths/year-12/perpendicular-bisectors-and-nearest-points.md)
- [The general equation of a circle](https://kixplo.com/uk/en/maths/year-12/the-general-equation-of-a-circle.md)

## [Year 13](https://kixplo.com/uk/en/maths/year-13.md)

- [Differentiating exponential and logarithmic functions](https://kixplo.com/uk/en/maths/year-12/the-number-e-and-exponential-graphs.md)
- [Investigating exponential and logarithmic functions](https://kixplo.com/uk/en/maths/year-13/investigating-exponential-and-logarithmic-functions.md)
- [Integrating exponential and logarithmic functions](https://kixplo.com/uk/en/maths/year-13/integrating-exponential-and-logarithmic-functions.md)
- [Vectors in three dimensions](https://kixplo.com/uk/en/maths/year-11/vectors-adding-subtracting-and-scaling.md)
- [Arithmetic and geometric series](https://kixplo.com/uk/en/maths/year-11/arithmetic-and-geometric-sequences.md)
- [Sequences and series: sums, proofs and models](https://kixplo.com/uk/en/maths/year-13/sequences-and-series-sums-proofs-and-models.md)
- [Vector laws and ratios](https://kixplo.com/uk/en/maths/year-11/vectors-in-geometric-figures.md)
- [Exponential models and logarithmic scales](https://kixplo.com/uk/en/maths/year-13/exponential-models-and-logarithmic-scales.md)
- [Further exponential and logarithmic calculus](https://kixplo.com/uk/en/maths/year-13/further-exponential-and-logarithmic-calculus.md)

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- [About and questions](https://kixplo.com/uk/en/about.md)
- [The app](https://kixplo.com/uk/en/)
- [llms.txt](https://kixplo.com/llms.txt)