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

1. A.1Classify numbers
2. A.2Compare and order rational numbers
3. A.3Number lines
4. A.4Convert between decimals and fractions
5. A.5Square roots
6. A.6Cube roots

Operations

1. B.1Add, subtract, multiply and divide integers
2. B.2Evaluate numerical expressions involving integers
3. B.3Evaluate variable expressions involving integers
4. B.4Add and subtract rational numbers
5. B.5Multiply and divide rational numbers
6. B.6Evaluate numerical expressions involving rational numbers
7. B.7Evaluate variable expressions involving rational numbers

Ratios, rates and proportions

1. C.1Identify equivalent ratios
2. C.2Write an equivalent ratio
3. C.3Unit rates
4. C.4Unit prices
5. C.5Solve proportions
6. C.6Solve proportions: word problems
7. C.7Scale drawings: word problems

Percents

1. D.1Convert between percents, fractions and decimals
2. D.2Solve percent equations
3. D.3Percent word problems
4. D.4Percent of change
5. D.5Percent of change: word problems
6. D.6Percent of a number: VAT, discount and more
7. D.7Find the percent: discount and mark-up
8. D.8Multi-step problems with percents

Measurement

1. E.1Convert rates and measurements
2. E.2Precision
3. E.3Greatest possible error
4. E.4Minimum and maximum area and volume
5. E.5Percent error
6. E.6Percent error: area and volume

Lines and angles

1. F.1Transversals: name angle pairs
2. F.2Transversals of parallel lines: find angle measures
3. F.3Identify complementary, supplementary, vertical, adjacent and congruent angles
4. F.4Find measures of complementary, supplementary, vertical and adjacent angles

Triangles

1. G.1Classify triangles
2. G.2Triangle angle-sum property
3. G.3Exterior angle property
4. G.4Exterior angle inequality
5. G.5Angle-side relationships in triangles
6. G.6Triangle Inequality Theorem
7. G.7Midsegments of triangles
8. G.8SSS, SAS and ASA Theorems
9. G.9SSS Theorem in the coordinate plane
10. G.10Congruency in isosceles and equilateral triangles
11. G.11Hypotenuse-Leg Theorem

Quadrilaterals

1. H.1Classify quadrilaterals
2. H.2Graph quadrilaterals
3. H.3Properties of parallelograms
4. H.4Proving a quadrilateral is a parallelogram
5. H.5Properties of rhombuses
6. H.6Properties of squares and rectangles
7. H.7Properties of trapeziums
8. H.8Properties of kites
9. H.9Review: properties of quadrilaterals

Polygons

1. I.1Polygon vocabulary
2. I.2Interior angles of polygons
3. I.3Exterior angles of polygons
4. I.4Review: interior and exterior angles of polygons

Area and perimeter

1. J.1Perimeter
2. J.2Area of rectangles and squares
3. J.3Area of parallelograms and triangles
4. J.4Area of trapeziums
5. J.5Area and circumference of circles
6. J.6Area of compound figures
7. J.7Area between two shapes
8. J.8Area and perimeter mixed review
9. J.9Heron's formula

Surface area and volume

1. K.1Introduction to surface area and volume
2. K.2Surface area of prisms and cylinders
3. K.3Surface area of cones
4. K.4Volume of prisms and cylinders
5. K.5Volume of cones
6. K.6Surface area and volume of spheres
7. K.7Surface area and volume review
   

   Circles

   1. L.1Parts of a circle
   2. L.2Central angles
   3. L.3Arc measure and arc length
   4. L.4Area of sectors
   5. L.5Circle measurements: mixed review
   6. L.6Arcs and chords
   7. L.7Tangent lines
   8. L.8Perimeter of polygons with an inscribed circle
   9. L.9Inscribed angles
   10. L.10Angles in inscribed right triangles
   11. L.11Angles in inscribed quadrilaterals

   Constructions

   1. M.1Construct the midpoint or perpendicular bisector of a segment
   2. M.2Construct an angle bisector
   3. M.3Construct a congruent angle
   4. M.4Construct an equilateral triangle or regular hexagon

   Solve equations

   1. N.1Model and solve equations using algebra tiles
   2. N.2Write and solve equations that represent diagrams
   3. N.3Solve one-step linear equations
   4. N.4Solve two-step linear equations
   5. N.5Solve advanced linear equations
   6. N.6Solve equations with variables on both sides
   7. N.7Solve equations: complete the solution
   8. N.8Find the number of solutions
   9. N.9Create equations with no solutions or infinitely many solutions
   10. N.10Solve linear equations: word problems
   11. N.11Solve linear equations: mixed review

   Data and graphs

   1. O.1Interpret bar graphs, line graphs and histograms
   2. O.2Create bar graphs, line graphs and histograms
   3. O.3Pie charts
   4. O.4Interpret stem-and-leaf plots

   Problem solving

   1. P.1Word problems: mixed review
   2. P.2Word problems with money
   3. P.3Consecutive integer problems
   4. P.4Rate of travel: word problems
   5. P.5Weighted averages: word problems

   Logic

   1. Q.1Identify hypotheses and conclusions
   2. Q.2Counterexamples

   Coordinate plane

   1. R.1Coordinate plane review
   2. R.2Quadrants and axes

   Direct variation

   1. S.1Identify proportional relationships
   2. S.2Find the constant of variation
   3. S.3Graph a proportional relationship
   4. S.4Write direct variation equations
   5. S.5Write and solve direct variation equations

   Linear equations

   1. T.1Identify linear equations
   2. T.2Find the slope of a graph
   3. T.3Find the slope from two points
   4. T.4Find a missing coordinate using slope
   5. T.5Slope-intercept form: find the slope and y-intercept
   6. T.6Slope-intercept form: graph an equation
   7. T.7Slope-intercept form: write an equation from a graph
   8. T.8Slope-intercept form: write an equation
   9. T.9Slope-intercept form: write an equation from a table
   10. T.10Slope-intercept form: write an equation from a word problem
   11. T.11Linear equations: solve for y
   12. T.12Write linear equations to solve word problems
   13. T.13Compare linear equations, graphs and tables
   14. T.14Write equations in standard form
   15. T.15Standard form: find x- and y-intercepts
   16. T.16Standard form: graph an equation
   17. T.17Equations of horizontal and vertical lines
   18. T.18Graph a horizontal or vertical line
   19. T.19Slopes of parallel and perpendicular lines
   20. T.20Write an equation for a parallel or perpendicular line

   Exponents

   1. U.1Exponents with integer bases
   2. U.2Exponents with decimal and fractional bases
   3. U.3Negative exponents
   4. U.4Multiplication with exponents
   5. U.5Division with exponents
   6. U.6Multiplication and division with exponents
   7. U.7Power rule
   8. U.8Evaluate expressions using properties of exponents
   9. U.9Identify equivalent expressions involving exponents

      Rational exponents

      1. V.1Evaluate rational exponents
      2. V.2Multiplication with rational exponents
      3. V.3Division with rational exponents
      4. V.4Power rule with rational exponents
      5. V.5Simplify expressions involving rational exponents I
      6. V.6Simplify expressions involving rational exponents II

      Logarithms

      1. W.1Convert between exponential and logarithmic form: rational bases
      2. W.2Evaluate logarithms
      3. W.3Change of base formula
      4. W.4Identify properties of logarithms
      5. W.5Product property of logarithms
      6. W.6Quotient property of logarithms
      7. W.7Power property of logarithms
      8. W.8Properties of logarithms: mixed review
      9. W.9Evaluate logarithms: mixed review

      Scientific notation

      1. X.1Convert between standard and scientific notation
      2. X.2Compare numbers written in scientific notation
      3. X.3Multiply numbers written in scientific notation
      4. X.4Divide numbers written in scientific notation

      Monomials

      1. Y.1Identify monomials
      2. Y.2Multiply monomials
      3. Y.3Divide monomials
      4. Y.4Multiply and divide monomials
      5. Y.5Powers of monomials

      Polynomials

      1. Z.1Polynomial vocabulary
      2. Z.2Model polynomials with algebra tiles
      3. Z.3Add and subtract polynomials using algebra tiles
      4. Z.4Add and subtract polynomials
      5. Z.5Add polynomials to find perimeter
      6. Z.6Multiply a polynomial by a monomial
      7. Z.7Multiply two polynomials using algebra tiles
      8. Z.8Multiply two binomials
      9. Z.9Multiply two binomials: special cases
      10. Z.10Multiply polynomials
      11. Z.11Write a polynomial from its roots
      12. Z.12Find the roots of factorised polynomials

      Factorising

      1. AA.1HCF of monomials
      2. AA.2Factorise out a monomial
      3. AA.3Factorise quadratics with leading coefficient 1
      4. AA.4Factorise quadratics with other leading coefficients
      5. AA.5Factorise quadratics: special cases
      6. AA.6Factorise quadratics using algebra tiles
      7. AA.7Factorise by grouping
      8. AA.8Factorise polynomials

      Quadratic equations

      1. BB.1Characteristics of quadratic equations
      2. BB.2Complete a table: quadratic equations
      3. BB.3Solve a quadratic equation using square roots
      4. BB.4Solve a quadratic equation using the zero product property
      5. BB.5Solve a quadratic equation by factorising
      6. BB.6Solve a quadratic equation using the quadratic formula

      Radical expressions

      1. CC.1Roots of integers
      2. CC.2Roots of rational numbers
      3. CC.3Find roots using a calculator
      4. CC.4Nth roots
      5. CC.5Simplify radical expressions with variables I
      6. CC.6Simplify radical expressions with variables II
      7. CC.7Multiply radical expressions
      8. CC.8Divide radical expressions
      9. CC.9Add and subtract radical expressions
      10. CC.10Simplify radical expressions using the distributive property
      11. CC.11Simplify radical expressions using conjugates

      Rational expressions

      1. DD.1Simplify complex fractions
      2. DD.2Simplify rational expressions
      3. DD.3Multiply and divide rational expressions
      4. DD.4Divide polynomials
      5. DD.5Add and subtract rational expressions
      6. DD.6Solve rational equations

      Probability

      1. EE.1Theoretical probability
      2. EE.2Experimental probability
      3. EE.3Compound events: find the number of outcomes
      4. EE.4Identify independent and dependent events
      5. EE.5Probability of independent and dependent events
      6. EE.6Factorials
      7. EE.7Counting principle

      Statistics

      1. FF.1Mean, median, mode and range
      2. FF.2Quartiles
      3. FF.3Identify biased samples
      4. FF.4Variance and standard deviation