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

• Place value to a million
• Addition and subtraction
• Adding and subtracting large numbers
• Multiplication and division
• Factors and prime numbers
• Fractions
• Mixed numbers and finding the whole
• Decimals to three places
• Quadrilaterals and diagonals
• Faces, edges and vertices
• Converting length and time
• Tables and charts
• Frequency tables

Year 6

• Long multiplication and division
• The order of operations
• Simplifying, comparing and adding fractions
• Decimals and fractions together
• Area of triangles and parallelograms
• Volume of cuboids and prisms
• Pie charts
• The mean

Year 7

• Properties of number
• Multiplying and dividing decimals
• Area of composite shapes
• Multiplying and dividing fractions
• Reading graphs
• Ratio, proportion and scale
• Transformations and congruent shapes

Year 8

• Linear graphs
• Equations and word problems
• Percentages
• Frequency tables and charts
• Averages and range
• Circles and cylinders
• Angles and parallel lines
• Angles in a kite
• Parallel lines and trapezia
• Angles, sides and diagonals of a parallelogram
• Which quadrilateral is it?

Year 9

• Congruent triangles and triangle facts
• Similar triangles
• Pythagoras' theorem
• Probability
• Relative frequency
• Expanding brackets and factorising
• Functions
• Reading values from a line graph
• Simultaneous equations on a graph
• Kites: diagonals and coordinates
• Isosceles triangles: the converse theorems
• Sides and angles in a triangle
• Area and perimeter of a trapezium
• Is it a parallelogram?
• Rectangles, rhombuses and squares
• Events in two stages and the area model
• Reading a function from its graph

Year 10

• Factorising quadratics
• Parallel lines and gradients
• Simultaneous equations
• Inequalities
• Volume of a cone
• Quadratic graphs and equations
• The 30-60-90 triangle
• Parallelograms on a coordinate grid
• Tree diagrams and expected frequency
• Solving simultaneous equations from a graph
• Turning points from a graph
• Laws of indices
• Forming and solving equations from situations
• Reading charts, graphs and formulae
• Distance, speed and time
• Linear models in money matters
• Buying, selling, profit and wages
• Angles in polygons and tilings
• Perimeter and area together
• Composite areas and scale factors
• Perimeters and scale factors
• Ratio, proportion and scale
• Similar triangles in context
• Trigonometry in context
• Independent and dependent events
• Spheres, pyramids and cones
• Plans and elevations
• Polygons on a coordinate grid

Year 11

• Trigonometry in right triangles
• Similar shapes: lengths and areas
• Equations of straight lines
• Surds, factorising and algebraic fractions
• Quadratic equations and inequalities
• Translating and reflecting graphs
• Rates of change
• Averages, quartiles and histograms
• Venn diagrams, trees and conditional probability
• Circle theorems
• The sine and cosine rules
• The equation of a circle
• Composite and inverse functions
• Exponential growth and decay
• Indices and exponential graphs
• Growth, decay and compound interest
• Vectors: adding, subtracting and scaling
• Diagonals and angles in a cuboid
• Volumes of prisms and pyramids
• Arithmetic and geometric sequences
• Vectors in geometric figures
• Quadratic models in context
• Inequalities in two variables on a graph

Year 12

• Reciprocal graphs and their transformations
• The equation of a circle
• Circles and lines: tangents and intersections
• The sine rule: the ambiguous case
• Differentiating polynomials
• Root functions: domain and turning points
• Optimisation with derivatives
• Stationary points in modelling
• Integration as the reverse of differentiation
• Definite integrals and areas
• Standard deviation
• Scatter diagrams and regression lines
• Second derivatives and kinematics
• The basic trigonometric identities
• Integration as accumulation: kinematics and areas
• Counting, binomial coefficients and the binomial distribution
• Exponential equations
• Logarithms: laws, graphs and equations
• Exponential growth and decay models
• The number e and exponential graphs
• Perpendicular bisectors and nearest points
• The general equation of a circle

Year 13

• Differentiating exponential and logarithmic functions
• Investigating exponential and logarithmic functions
• Integrating exponential and logarithmic functions
• Vectors in three dimensions
• Arithmetic and geometric series
• Sequences and series: sums, proofs and models
• Vector laws and ratios
• Exponential models and logarithmic scales
• Further exponential and logarithmic calculus

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