Year 10 maths
Here is a list of all of the maths skills students learn in year 10! These skills are organised into categories, and you can move your mouse over any skill name to view a sample question. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!
Numbers
Consumer maths
Solve equations
- D.1Model and solve equations using algebra tiles
- D.2Write and solve equations that represent diagrams
- D.3Solve one-step linear equations
- D.4Solve two-step linear equations
- D.5Solve advanced linear equations
- D.6Solve equations with variables on both sides
- D.7Find the number of solutions
- D.8Create equations with no solutions or infinitely many solutions
- D.9Solve linear equations: word problems
- D.10Solve linear equations: mixed review
Single-variable inequalities
- E.1Graph inequalities
- E.2Write inequalities from graphs
- E.3Identify solutions to inequalities
- E.4Solve one-step linear inequalities: addition and subtraction
- E.5Solve one-step linear inequalities: multiplication and division
- E.6Solve one-step linear inequalities
- E.7Graph solutions to one-step linear inequalities
- E.8Solve two-step linear inequalities
- E.9Graph solutions to two-step linear inequalities
- E.10Solve advanced linear inequalities
- E.11Graph solutions to advanced linear inequalities
Relations and functions
- F.1Relations: convert between tables, graphs, mappings and lists of points
- F.2Domain and range of relations
- F.3Identify independent and dependent variables
- F.4Identify functions
- F.5Find values using function graphs
- F.6Evaluate a function
- F.7Complete a function table from a graph
- F.8Complete a function table from an equation
- F.9Interpret the graph of a function: word problems
Linear functions
- G.1Identify linear functions
- G.2Find the gradient of a graph
- G.3Find the gradient from two points
- G.4Find a missing coordinate using gradient
- G.5Find the gradient and y-intercept of a linear equation
- G.6Graph an equation in y=mx+c form
- G.7Write an equation in y=mx+c form from a graph
- G.8Write an equation in y=mx+c form
- G.9Write an equation in y=mx+c form from a table
- G.10Write an equation in y=mx+c form from a word problem
- G.11Write linear functions to solve word problems
- G.12Complete a table and graph a linear function
- G.13Compare linear functions: graphs, tables and equations
- G.14Write equations in standard form
- G.15Standard form: find x- and y-intercepts
- G.16Standard form: graph an equation
- G.17Equations of horizontal and vertical lines
- G.18Graph a horizontal or vertical line
- G.19Point-gradient form: graph an equation
- G.20Point-gradient form: write an equation
- G.21Point-gradient form: write an equation from a graph
- G.22Gradients of parallel and perpendicular lines
- G.23Write an equation for a parallel or perpendicular line
- G.24Find the distance between a point and a line
- G.25Find the distance between two parallel lines
- G.26Transformations of linear functions
Simultaneous equations
- H.1Is (x, y) a solution to the simultaneous equations?
- H.2Solve simultaneous equations by graphing
- H.3Solve simultaneous equations by graphing: word problems
- H.4Find the number of solutions to simultaneous equations by graphing
- H.5Find the number of solutions to simultaneous equations
- H.6Solve simultaneous equations using substitution
- H.7Solve simultaneous equations using substitution: word problems
- H.8Solve simultaneous equations using elimination
- H.9Solve simultaneous equations using elimination: word problems
- H.10Solve a system of equations using any method
- H.11Solve a system of equations using any method: word problems
Inequalities and linear programming
- I.1Does (x, y) satisfy the inequality?
- I.2Linear inequalities: solve for y
- I.3Graph a linear inequality in the coordinate plane
- I.4Linear inequalities: word problems
- I.5Is (x, y) a solution to the system of inequalities?
- I.6Solve systems of inequalities by graphing
- I.7Find the vertices of a solution set
- I.8Linear programming
Matrices
- J.1Matrix vocabulary
- J.2Matrix operation rules
- J.3Add and subtract matrices
- J.4Multiply a matrix by a scalar
- J.5Linear combinations of matrices
- J.6Multiply two matrices
- J.7Simplify matrix expressions
- J.8Properties of matrices
- J.9Solve matrix equations
- J.10Determinant of a matrix
- J.11Is a matrix invertible?
- J.12Inverse of a matrix
- J.13Identify inverse matrices
- J.14Solve matrix equations using inverses
Exponents
- K.1Exponents with integer bases
- K.2Exponents with decimal and fractional bases
- K.3Negative exponents
- K.4Multiplication with exponents
- K.5Division with exponents
- K.6Multiplication and division with exponents
- K.7Power rule
- K.8Evaluate expressions involving exponents
- K.9Identify equivalent expressions involving exponents
Logarithms
- L.1Convert between exponential and logarithmic form: rational bases
- L.2Evaluate logarithms
- L.3Change of base formula
- L.4Identify properties of logarithms
- L.5Product property of logarithms
- L.6Quotient property of logarithms
- L.7Power property of logarithms
- L.8Properties of logarithms: mixed review
- L.9Evaluate logarithms: mixed review
Exponential and logarithmic functions
- M.1Domain and range of exponential and logarithmic functions
- M.2Evaluate an exponential function
- M.3Match exponential functions and graphs
- M.4Solve exponential equations by factorising
- M.5Solve exponential equations using common logarithms
- M.6Solve logarithmic equations I
- M.7Solve logarithmic equations II
- M.8Exponential growth and decay: word problems
Monomials
Polynomials
- O.1Polynomial vocabulary
- O.2Model polynomials with algebra tiles
- O.3Add and subtract polynomials using algebra tiles
- O.4Add and subtract polynomials
- O.5Add polynomials to find perimeter
- O.6Multiply a polynomial by a monomial
- O.7Multiply two polynomials using algebra tiles
- O.8Multiply two binomials
- O.9Multiply two binomials: special cases
- O.10Multiply polynomials
- O.11Write a polynomial from its roots
- O.12Find the roots of factorised polynomials
- O.13Conjugate roots
- O.14Match polynomials and graphs
Factorising
Quadratic equations
- Q.1Characteristics of quadratic functions
- Q.2Complete a function table: quadratic functions
- Q.3Transformations of quadratic functions
- Q.4Find a quadratic function
- Q.5Graph a quadratic function
- Q.6Match quadratic functions and graphs
- Q.7Solve a quadratic equation using square roots
- Q.8Solve an equation using the zero product property
- Q.9Solve a quadratic equation by factorising
- Q.10Complete the square
- Q.11Solve a quadratic equation by completing the square
- Q.12Solve a quadratic equation using the quadratic formula
- Q.13Using the discriminant
Functions: linear, quadratic, exponential
- R.1Identify linear, quadratic and exponential functions from graphs
- R.2Identify linear, quadratic and exponential functions from tables
- R.3Write linear, quadratic and exponential functions
- R.4Linear functions over unit intervals
- R.5Exponential functions over unit intervals
- R.6Describe linear and exponential growth and decay
Parabolas
- S.1Identify the direction a parabola opens
- S.2Find the vertex of a parabola
- S.3Find the focus or directrix of a parabola
- S.4Find the axis of symmetry of a parabola
- S.5Write equations of parabolas in vertex form from graphs
- S.6Write equations of parabolas in vertex form using properties
- S.7Convert equations of parabolas from general to vertex form
- S.8Find properties of a parabola from equations in general form
- S.9Graph parabolas
Hyperbolas
- T.1Find the centre of a hyperbola
- T.2Find the vertices of a hyperbola
- T.3Find the length of the transverse or conjugate axes of a hyperbola
- T.4Find the equations for the asymptotes of a hyperbola
- T.5Find the foci of a hyperbola
- T.6Write equations of hyperbolas in standard form from graphs
- T.7Write equations of hyperbolas in standard form using properties
- T.8Convert equations of hyperbolas from general to standard form
- T.9Find properties of hyperbolas from equations in general form
Rational exponents
Radical functions and expressions
- V.1Roots of integers
- V.2Roots of rational numbers
- V.3Find roots using a calculator
- V.4Nth roots
- V.5Simplify radical expressions
- V.6Simplify radical expressions involving fractions
- V.7Multiply radical expressions
- V.8Add and subtract radical expressions
- V.9Simplify radical expressions using the distributive property
- V.10Simplify radical expressions: mixed review
- V.11Domain and range of radical functions
- V.12Solve radical equations
Rational functions and expressions
Two-dimensional figures
- X.1Classify triangles
- X.2Polygon vocabulary
- X.3Triangle Angle-Sum Theorem
- X.4Perimeter
- X.5Area of triangles and quadrilaterals
- X.6Area and perimeter in the coordinate plane I
- X.7Area and perimeter in the coordinate plane II
- X.8Area and circumference of circles
- X.9Area of compound figures
- X.10Area between two shapes
- X.11Area and perimeter of similar figures
Introduction to congruent figures
Congruent triangles
Similarity
- BB.1Identify similar figures
- BB.2Similarity ratios
- BB.3Similarity statements
- BB.4Side lengths and angle measures in similar figures
- BB.5Similar triangles and indirect measurement
- BB.6Perimeters of similar figures
- BB.7Similarity rules for triangles
- BB.8Similar triangles and similarity transformations
- BB.9Similarity of circles
- BB.10Areas of similar figures
Right triangles
Trigonometry
- EE.1Trigonometric ratios: sin, cos and tan
- EE.2Trigonometric ratios: csc, sec and cot
- EE.3Trigonometric ratios in similar right triangles
- EE.4Find trigonometric ratios using the unit circle
- EE.5Trigonometric functions of complementary angles
- EE.6Sin, cos and tan of special angles
- EE.7Csc, sec and cot of special angles
- EE.8Find trigonometric functions using a calculator
- EE.9Symmetry and periodicity of trigonometric functions
- EE.10Inverses of sin, cos and tan
- EE.11Inverses of csc, sec and cot
- EE.12Solve trigonometric equations I
- EE.13Solve trigonometric equations II
- EE.14Trigonometric ratios: find a side length
- EE.15Trigonometric ratios: find an angle measure
- EE.16Solve a right triangle
- EE.17Law of Sines
- EE.18Law of Cosines
- EE.19Solve a triangle
- EE.20Area of a triangle: sine formula
- EE.21Area of a triangle: Law of Sines
Surface area and volume
- FF.1Introduction to surface area and volume
- FF.2Surface area of prisms and cylinders
- FF.3Surface area of pyramids and cones
- FF.4Volume of prisms and cylinders
- FF.5Volume of pyramids and cones
- FF.6Surface area and volume of spheres
- FF.7Introduction to similar solids
- FF.8Surface area and volume of similar solids
- FF.9Surface area and volume review
Circles
- GG.1Parts of a circle
- GG.2Central angles
- GG.3Arc measure and arc length
- GG.4Area of sectors
- GG.5Circle measurements: mixed review
- GG.6Arcs and chords
- GG.7Tangent lines
- GG.8Perimeter of polygons with an inscribed circle
- GG.9Inscribed angles
- GG.10Angles in inscribed right triangles
- GG.11Angles in inscribed quadrilaterals
Circles in the coordinate plane
- HH.1Find the centre of a circle
- HH.2Find the radius or diameter of a circle
- HH.3Write equations of circles in standard form from graphs
- HH.4Write equations of circles in standard form using properties
- HH.5Convert equations of circles from general to standard form
- HH.6Find properties of circles from equations in general form
- HH.7Graph circles