Kixplo: Grades 4, 5, 6, 8, 9, 10, 11 and 12 maths practice in English, following the Israeli curriculum

Free maths practice for Grades 4, 5, 6, 8, 9, 10, 11 and 12, in English: a short explanation of every topic, a game that shows it, new exercises every time, a test with a score and printable worksheets.

Grade 4 · new (2023) programme

• Numbers to a million
• Adding and subtracting to a million
• Multiplying, dividing and order of operations
• Fractions
• Parallel lines, diagonals and quadrilaterals
• Length units, surface area and the calendar
• Handling data

Grade 5 · new (2023) programme

• Big numbers and the four operations
• Prime and composite numbers
• Fractions: meaning and operations
• Decimals
• Heights, areas and solids
• Handling data

Grade 6 · new (2023) programme

• Whole numbers and zero
• Operations with fractions
• Operations with decimals
• Percentages
• Area and perimeter of compound shapes
• Circles
• Volume
• The mean and handling data

Grade 8

• Ratio, proportion and scale
• Angles and parallel lines
• Pythagoras' theorem
• Percentages
• Data, frequency and relative frequency
• Circles, cylinders and cones
• Functions and linear functions
• Transformations and congruent shapes
• Equations and word problems
• Range, averages and two sources of data
• Congruent triangles and triangle properties
• Simultaneous equations
• Similar triangles
• Probability
• Pythagoras' theorem in 3D
• Inequalities

Grade 9

• Algebraic techniques and factorising
• Kites
• Isosceles triangles: the converse theorems
• Quadratic functions, equations and inequalities
• Sides and angles in a triangle, and the 30-60-90 triangle
• Parallel lines and trapezia
• Parallelograms
• Equations with algebraic fractions
• Rectangles, rhombuses and squares
• Probability of two events
• Simultaneous equations with a quadratic
• Properties of functions
• Laws of indices and square roots
• Word problems with quadratics
• Similar triangles and area ratios

Grade 10 · 3 units

• Reading information and drawing conclusions
• Descriptive statistics
• Measures of centre in context
• Chance in everyday situations
• Perimeters in everyday situations
• Routes: distance, speed and time
• Areas in everyday situations
• Tilings
• Perimeter and area together
• The linear model in money matters
• Buying, selling, profit and wages

Grade 10 · 4 units

• Analytic geometry: points and lines
• Similar triangles
• Trigonometry in the right triangle
• Special lines in a triangle
• Algebraic technique
• Equations and inequalities
• Precalculus: families of functions
• The derivative of a polynomial
• The square root function
• Optimisation problems
• Descriptive statistics
• Probability

Grade 10 · 5 units

• Analytic geometry: points and lines
• Equations and inequalities
• The equation of a circle
• Functions: roots, composition and inverses
• Precalculus: families of functions
• The derivative of a polynomial
• The antiderivative
• Rational functions
• The square root function
• Optimisation problems
• Special lines in a triangle
• The fourth congruence theorem and the converse of Pythagoras
• Circles: angles, chords and tangents
• Proportion
• Similar triangles
• Trigonometric functions
• Trigonometry in any triangle

Grade 11 · 3 units

• Exponential growth and decay
• The standard deviation in context
• Independent and dependent events
• Ratio, proportion and scale
• Similar triangles in context
• Trigonometry in context
• Quartiles and deciles

Grade 11 · 4 units

• The reciprocal of a function
• Rational functions
• Investigating rational functions
• The square root function
• Extremum problems with rational and root functions
• The antiderivative
• The definite integral and areas
• Circles: angles, chords and tangents
• Incircle, circumcircle, circumference and area
• Trigonometry in any triangle
• The equation of a circle
• Circles and lines in analytic geometry
• Descriptive statistics
• The normal distribution
• Correlation and regression

Grade 11 · 5 units

• Arithmetic and geometric sequences
• Mathematical induction
• The derivative of a polynomial
• The second derivative: rates of change, concavity and inflection
• The square root function
• Root functions: asymptotes and equations
• The antiderivative
• The definite integral and areas
• The accumulation function and its uses
• Trigonometric identities and their uses
• Trigonometry in any triangle
• Trigonometric functions
• Trigonometric functions: differentiation, investigation and models
• Probability
• Probability: Bayes, counting and Bernoulli trials

Grade 12 · 3 units

• Quadratic models
• The normal distribution
• Solids: volume and surface area
• Views of cube buildings
• Linear programming
• Analytic geometry: points and lines
• Polygons on the coordinate plane

Grade 12 · 4 units

• Indices and exponential functions
• Logarithms and logarithmic functions
• Precalculus: families of functions
• Growth and decay
• Differentiating exponential and logarithmic functions
• Investigating exponential and logarithmic functions
• Integrating exponential and logarithmic functions
• Lines, planes and solids in space
• Vectors
• The scalar product
• Volumes of solids
• Arithmetic and geometric sequences
• Sequences: sums, proofs and problems

Grade 12 · 5 units

• Vectors
• Vectors: laws, linear dependence and uniqueness
• The scalar product
• The scalar product and its uses in space
• Lines and planes in space
• Lines, planes and solids in space
• Cylinders, cones and spheres by vector tools
• Points, segments and lines: ratios, distances and loci
• Circles and lines in analytic geometry
• Circles: the general equation, two circles and loci
• The parabola as a locus
• The ellipse
• The hyperbola and the conics together
• Indices and exponential functions
• Logarithms and logarithmic functions
• Differentiating exponential and logarithmic functions
• Investigating exponential and logarithmic functions
• Integrating exponential and logarithmic functions
• Exponential models: growth, decay and logarithmic scales
• Exponential and logarithmic functions: further differentiation and integration
• Complex numbers: operations and the Gauss plane
• Polar form, de Moivre’s theorem and roots of unity
• Complex numbers in geometry: loci and transformations

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