Class IX maths
Here is a list of all of the maths skills students learn in class IX! These skills are organised into categories, and you can move your mouse over any skill name to preview the skill. 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
- A.1 Number lines
- A.2 Convert between decimals and fractions
- A.3 Identify rational and irrational numbers
- A.4 Compare and order rational numbers
- A.5 Prime factorisation
- A.6 Square roots
- A.7 Cube roots
Operations
- B.1 Add, subtract, multiply and divide integers
- B.2 Evaluate numerical expressions involving integers
- B.3 Evaluate variable expressions involving integers
- B.4 Add and subtract rational numbers
- B.5 Multiply and divide rational numbers
- B.6 Evaluate numerical expressions involving rational numbers
- B.7 Evaluate variable expressions involving rational numbers
Ratios, rates and proportions
- C.1 Simple interest
- C.2 Compound interest
- C.3 Percent of a number: VAT, discount and more
- C.4 Find the percent: discount and mark-up
- C.5 Multi-step problems with percents
Percents
- D.1 Identify linear equations
- D.2 Find the slope of a graph
- D.3 Find the slope from two points
- D.4 Find a missing coordinate using slope
- D.5 Slope-intercept form: find the slope and y-intercept
- D.6 Slope-intercept form: graph an equation
- D.7 Slope-intercept form: write an equation from a graph
- D.8 Slope-intercept form: write an equation
- D.9 Slope-intercept form: write an equation from a table
- D.10 Slope-intercept form: write an equation from a word problem
- D.11 Write linear equations to solve word problems
- D.12 Compare linear equations, graphs and tables
- D.13 Write equations in standard form
- D.14 Standard form: find x- and y-intercepts
- D.15 Standard form: graph an equation
- D.16 Equations of horizontal and vertical lines
- D.17 Graph a horizontal or vertical line
- D.18 Slopes of parallel and perpendicular lines
- D.19 Write an equation for a parallel or perpendicular line
- D.20 Find the distance between a point and a line
- D.21 Find the distance between two parallel lines
Measurement
- E.1 Is (x, y) a solution to the pair of equations?
- E.2 Solve a pair of equations by graphing
- E.3 Solve a pair of equations by graphing: word problems
- E.4 Find the number of solutions to a pair of equations by graphing
- E.5 Find the number of solutions to a pair of equations
- E.6 Solve a pair of equations using substitution
- E.7 Solve a pair of equations using substitution: word problems
- E.8 Solve a pair of equations using elimination
- E.9 Solve a pair of equations using elimination: word problems
Lines and angles
- F.1 Matrix vocabulary
- F.2 Matrix operation rules
- F.3 Add and subtract matrices
- F.4 Multiply a matrix by a scalar
- F.5 Multiply two matrices
Triangles
- G.1 Arithmetic sequences
- G.2 Evaluate variable expressions for arithmetic sequences
- G.3 Write variable expressions for arithmetic sequences
- G.4 Partial sums of arithmetic series
Quadrilaterals
- H.1 Polynomial vocabulary
- H.2 Model polynomials with algebra tiles
- H.3 Add and subtract polynomials using algebra tiles
- H.4 Add and subtract polynomials
- H.5 Add polynomials to find perimeter
- H.6 Multiply and divide monomials
- H.7 Powers of monomials
- H.8 Multiply a polynomial by a monomial
- H.9 Multiply two polynomials using algebra tiles
- H.10 Multiply two binomials
- H.11 Multiply two binomials: special cases
- H.12 Multiply polynomials
Factorising
- I.1 HCF of monomials
- I.2 Factorise out a monomial
- I.3 Factorise quadratics with leading coefficient 1
- I.4 Factorise quadratics with other leading coefficients
- I.5 Factorise quadratics: special cases
- I.6 Factorise quadratics using algebra tiles
- I.7 Factorise by grouping
- I.8 Factorise polynomials
Quadratic equations
- J.1 Characteristics of quadratic equations
- J.2 Complete a table: quadratic equations
- J.3 Solve a quadratic equation using square roots
- J.4 Solve a quadratic equation using the zero product property
- J.5 Solve a quadratic equation by factorising
- J.6 Complete the square
- J.7 Solve a quadratic equation by completing the square
- J.8 Solve a quadratic equation using the quadratic formula
- J.9 Using the discriminant
- J.10 Graph a quadratic equation
- J.11 Match quadratic functions and graphs
Rational expressions
- K.1 Simplify complex fractions
- K.2 Simplify rational expressions
- K.3 Multiply and divide rational expressions
- K.4 Divide polynomials
- K.5 Add and subtract rational expressions
- K.6 Solve rational equations
Points, lines and segments
- L.1 Lines, line segments and half lines
- L.2 Lengths of segments on number lines
- L.3 Additive property of length
- L.4 Midpoints
- L.5 Congruent line segments
- L.6 Perpendicular Bisector Theorem
- L.7 Midpoint formula
- L.8 Distance formula
Two-dimensional figures
- M.1 Polygon vocabulary
- M.2 Perimeter
- M.3 Area of triangles and quadrilaterals
- M.4 Area and perimeter in the coordinate plane I
- M.5 Area and perimeter in the coordinate plane II
- M.6 Area and circumference of circles
- M.7 Area of compound figures
- M.8 Area between two shapes
- M.9 Area and perimeter of similar figures
Transformations
- N.1 Translations: find the coordinates
- N.2 Reflections: find the coordinates
- N.3 Rotations: find the coordinates
- N.4 Congruence transformations
- N.5 Compositions of congruence transformations: graph the image
- N.6 Transformations that carry a polygon onto itself
- N.7 Dilations: graph the image
- N.8 Dilations: find the coordinates
- N.9 Dilations: scale factor and classification
- N.10 Dilations and parallel lines
Triangles
- O.1 Classify triangles
- O.2 Triangle Angle-Sum Theorem
- O.3 Midsegments of triangles
- O.4 Triangles and bisectors
- O.5 Identify medians, altitudes, angle bisectors and perpendicular bisectors
- O.6 Angle-side relationships in triangles
- O.7 Triangle Inequality Theorem
Similarity
- P.1 Identify similar figures
- P.2 Similarity ratios
- P.3 Similarity statements
- P.4 Side lengths and angle measures in similar figures
- P.5 Similar triangles and indirect measurement
- P.6 Perimeters of similar figures
- P.7 Similarity rules for triangles
- P.9 Areas of similar figures
Right triangles
- Q.1 Pythagoras' Theorem
- Q.2 Converse of Pythagoras' theorem
- Q.3 Pythagoras' Inequality Theorems
- Q.4 Special right triangles
Circles
- R.1 Parts of a circle
- R.2 Central angles
- R.3 Arc measure and arc length
- R.4 Area of sectors
- R.5 Circle measurements: mixed review
- R.6 Arcs and chords
- R.7 Tangent lines
- R.8 Perimeter of polygons with an inscribed circle
- R.9 Inscribed angles
- R.10 Angles in inscribed right triangles
- R.11 Angles in inscribed quadrilaterals
Trigonometry
- S.1 Trigonometric ratios: sin, cos and tan
- S.2 Trigonometric ratios: csc, sec and cot
- S.3 Trigonometric functions of complementary angles
- S.4 Find trigonometric functions of special angles
- S.5 Find trigonometric functions using a calculator
- S.6 Inverses of trigonometric functions
- S.7 Trigonometric ratios: find a side length
- S.8 Trigonometric ratios: find an angle measure
- S.9 Solve a right triangle
Surface area and volume
- T.1 Introduction to surface area and volume
- T.2 Surface area of prisms and cylinders
- T.3 Surface area of cones
- T.4 Volume of prisms and cylinders
- T.5 Volume of cones
- T.6 Surface area and volume of spheres
- T.7 Introduction to similar solids
- T.8 Surface area and volume of similar solids
- T.9 Surface area and volume review
Measurement
- U.1 Convert rates and measurements
- U.2 Precision
- U.3 Greatest possible error
- U.4 Minimum and maximum area and volume
- U.5 Percent error
- U.6 Percent error: area and volume
Problem solving
- V.1 Consecutive integer problems
- V.2 Rate of travel: word problems
- V.3 Weighted averages: word problems
- V.4 Exponential growth and decay: word problems
Logic
- W.1 Identify hypotheses and conclusions
- W.2 Counterexamples
- W.3 Truth tables
- W.4 Truth values
- W.5 Conditionals
- W.6 Negations
- W.7 Converses, inverses and contrapositives
- W.8 Biconditionals
Probability
- X.1 Theoretical probability
- X.2 Experimental probability
- X.3 Compound events: find the number of outcomes
- X.4 Identify independent and dependent events
- X.5 Probability of independent and dependent events
- X.6 Geometric probability
- X.7 Counting principle
Statistics
- Y.1 Mean, median, mode and range
- Y.2 Quartiles
- Y.3 Identify biased samples
Data and graphs
- Z.1 Interpret histograms
- Z.2 Create histograms
- Z.3 Interpret stem-and-leaf plots
Constructions
- AA.1 Construct a tangent line to a circle
- AA.2 Construct an equilateral triangle inscribed in a circle
- AA.3 Construct a regular hexagon inscribed in a circle
- AA.4 Construct the circumcenter or incenter of a triangle
- AA.5 Construct the inscribed or circumscribed circle of a triangle