Year 9 maths

Here is a list of all of the maths skills students learn in year 9! 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!

Number theory

1. A.1

2. Factors

3. A.2

4. Divisibility rules

5. A.3

6. Prime or composite

7. A.4

8. Prime factorisation

9. A.5

10. Highest common factor

11. A.6

12. Least common multiple

13. A.7

14. HCF and LCM: word problems

15. A.8

16. Classify numbers

Integers

1. B.1

2. Integers on number lines

3. B.2

4. Graph integers on horizontal and vertical number lines

5. B.3

6. Absolute value and opposite integers

7. B.4

8. Compare and order integers

9. B.5

10. Integer inequalities with absolute values

Operations with integers

1. C.1

2. Integer addition and subtraction rules

3. C.2

4. Add and subtract integers using counters

5. C.3

6. Add and subtract integers

7. C.4

8. Add and subtract three or more integers

9. C.5

10. Add and subtract integers: word problems

11. C.6

12. Integer multiplication and division rules

13. C.7

14. Multiply and divide integers

15. C.8

16. Evaluate numerical expressions involving integers

Rational numbers

1. D.1

2. Identify rational and irrational numbers

3. D.2

4. Write fractions in lowest terms

5. D.3

6. Least common denominator

7. D.4

8. Round decimals and mixed numbers

9. D.5

10. Absolute value of rational numbers

11. D.6

12. Convert between decimals and fractions or mixed numbers

13. D.7

14. Compare rational numbers

15. D.8

16. Put rational numbers in order

Operations with rational numbers

1. E.1

2. Reciprocals and multiplicative inverses

3. E.2

4. Add and subtract rational numbers

5. E.3

6. Add and subtract rational numbers: word problems

7. E.4

8. Apply addition and subtraction rules

9. E.5

10. Multiply and divide rational numbers

11. E.6

12. Multiply and divide rational numbers: word problems

13. E.7

14. Apply multiplication and division rules

15. E.8

16. Apply addition, subtraction, multiplication and division rules

17. E.9

18. Evaluate numerical expressions involving rational numbers

Exponents and roots

1. F.1

2. Understanding exponents

3. F.2

4. Evaluate exponents

5. F.3

6. Solve equations with variable exponents

7. F.4

8. Exponents with negative bases

9. F.5

10. Exponents with decimal and fractional bases

11. F.6

12. Understanding negative exponents

13. F.7

14. Evaluate negative exponents

15. F.8

16. Multiplication with exponents

17. F.9

18. Division with exponents

19. F.10

20. Multiplication and division with exponents

21. F.11

22. Power rule

23. F.12

24. Evaluate expressions using properties of exponents

25. F.13

26. Identify equivalent expressions involving exponents

27. F.14

28. Square roots of perfect squares

29. F.15

30. Positive and negative square roots

31. F.16

32. Estimate square roots

33. F.17

34. Relationship between squares and square roots

35. F.18

36. Solve equations involving squares and square roots

37. F.19

38. Cube roots of perfect cubes

39. F.20

40. Estimate cube roots

41. F.21

42. Solve equations involving cubes and cube roots

Standard form

1. G.1

2. Convert between ordinary numbers and standard form

3. G.2

4. Compare numbers written in standard form

5. G.3

6. Multiply numbers written in standard form

7. G.4

8. Divide numbers written in standard form

Ratios, rates and proportions

1. H.1

2. Understanding ratios

3. H.2

4. Identify equivalent ratios

5. H.3

6. Write an equivalent ratio

7. H.4

8. Equivalent ratios: word problems

9. H.5

10. Unit rates

11. H.6

12. Compare ratios: word problems

13. H.7

14. Solve proportions: word problems

15. H.8

16. Do the ratios form a proportion?

17. H.9

18. Do the ratios form a proportion: word problems

19. H.10

20. Solve proportions

21. H.11

22. Estimate population size using proportions

23. H.12

24. Scale drawings: word problems

Proportional relationships

1. I.1

2. Find the constant of proportionality from a table

3. I.2

4. Write equations for proportional relationships from tables

5. I.3

6. Identify proportional relationships by graphing

7. I.4

8. Find the constant of proportionality from a graph

9. I.5

10. Write equations for proportional relationships from graphs

11. I.6

12. Identify proportional relationships

13. I.7

14. Graph proportional relationships

15. I.8

16. Interpret graphs of proportional relationships

17. I.9

18. Write and solve equations for proportional relationships

Percents

1. J.1

2. Convert between percents, fractions and decimals

3. J.2

4. Compare percents to fractions and decimals

5. J.3

6. Find what percent one number is of another

7. J.4

8. Find what percent one number is of another: word problems

9. J.5

10. Estimate percents of numbers

11. J.6

12. Percents of numbers and money amounts

13. J.7

14. Percents of numbers: word problems

15. J.8

16. Compare percents of numbers

17. J.9

18. Solve percent equations

19. J.10

20. Percent of change

21. J.11

22. Percent of change: word problems

Consumer maths

1. K.1

2. Price lists

3. K.2

4. Unit prices

5. K.3

6. Unit prices: find the total price

7. K.4

8. Percent of a number: GST, discount and more

9. K.5

10. Find the percent: discount and mark-up

11. K.6

12. Sale prices: find the original price

13. K.7

14. Multi-step problems with percents

15. K.8

16. Simple interest

17. K.9

18. Compound interest

Units of measurement

1. L.1

2. Convert rates and measurements: metric units

3. L.2

4. Metric mixed units

5. L.3

6. Convert between square metres and hectares

7. L.4

8. Convert square and cubic units of length

9. L.5

10. Convert between cubic metres and litres

11. L.6

12. Precision

Problem solving

1. M.1

2. Multi-step word problems

3. M.2

4. Guess-and-check word problems

5. M.3

6. Use Venn diagrams to solve problems

7. M.4

8. Elapsed time word problems

Coordinate plane

1. N.1

2. Coordinate plane review

3. N.2

4. Quadrants and axes

5. N.3

6. Follow directions on a coordinate plane

7. N.4

8. Find the distance between two points

Two-dimensional figures

1. O.1

2. Identify and classify polygons

3. O.2

4. Classify triangles

5. O.3

6. Identify trapeziums

7. O.4

8. Classify quadrilaterals

9. O.5

10. Graph triangles and quadrilaterals

11. O.6

12. Find missing angles in triangles and quadrilaterals

13. O.7

14. Interior angles of polygons

15. O.8

16. Identify complementary, supplementary, vertical, adjacent and congruent angles

17. O.9

18. Find measures of complementary, supplementary, vertical and adjacent angles

19. O.10

20. Transversal of parallel lines

21. O.11

22. Find lengths and measures of bisected line segments and angles

23. O.12

24. Parts of a circle

Transformations and congruence

1. P.1

2. Symmetry

3. P.2

4. Identify reflections, rotations and translations

5. P.3

6. Translations: graph the image

7. P.4

8. Translations: find the coordinates

9. P.5

10. Reflections: graph the image

11. P.6

12. Reflections: find the coordinates

13. P.7

14. Rotations: graph the image

15. P.8

16. Rotations: find the coordinates

17. P.9

18. Side lengths and angle measures of congruent figures

19. P.10

20. Congruence statements and corresponding parts

Transformations and similarity

1. Q.1

2. Similar and congruent figures

3. Q.2

4. Dilations: graph the image

5. Q.3

6. Dilations: find the coordinates

7. Q.4

8. Dilations: scale factor and classification

9. Q.5

10. Side lengths and angle measures of similar figures

Pythagoras' theorem

1. R.1

2. Pythagoras' theorem: find the length of the hypotenuse

3. R.2

4. Pythagoras' theorem: find the missing leg length

5. R.3

6. Pythagoras' theorem: find the perimeter

7. R.4

8. Pythagoras' theorem: word problems

9. R.5

10. Converse of Pythagoras' theorem: is it a right triangle?

Three-dimensional figures

1. S.1

2. Parts of three-dimensional figures

3. S.2

4. Nets of three-dimensional figures

5. S.3

6. Front, side and top view

7. S.4

8. Base plans

9. S.5

10. Similar solids

Geometric measurement

1. T.1

2. Perimeter

3. T.2

4. Area

5. T.3

6. Area between two shapes

7. T.4

8. Area and perimeter: word problems

9. T.5

10. Circles, semicircles and quarter circles

11. T.6

12. Circles: word problems

13. T.7

14. Volume of prisms and cylinders

15. T.8

16. Surface area of prisms

17. T.9

18. Surface area of cylinders

19. T.10

20. Volume of pyramids and cones

21. T.11

22. Surface area of pyramids

23. T.12

24. Surface area of cones

25. T.13

26. Volume and surface area of spheres

27. T.14

28. Volume and surface area of similar solids

29. T.15

30. Perimeter, area and volume: changes in scale

Number sequences

1. U.1

2. Identify arithmetic and geometric sequences

3. U.2

4. Arithmetic sequences

5. U.3

6. Geometric sequences

7. U.4

8. Number sequences: mixed review

9. U.5

10. Number sequences: word problems

11. U.6

12. Evaluate variable expressions for number sequences

13. U.7

14. Write variable expressions for arithmetic sequences

Expressions and properties

1. V.1

2. Write variable expressions

3. V.2

4. Write variable expressions from diagrams

5. V.3

6. Write variable expressions: word problems

7. V.4

8. Evaluate one-variable expressions

9. V.5

10. Evaluate multi-variable expressions

11. V.6

12. Evaluate absolute value expressions

13. V.7

14. Evaluate radical expressions

15. V.8

16. Evaluate rational expressions

17. V.9

18. Identify terms and coefficients

19. V.10

20. Sort factors of expressions

21. V.11

22. Properties of addition and multiplication

23. V.12

24. Multiply using the distributive property

25. V.13

26. Simplify variable expressions using properties

27. V.14

28. Add and subtract like terms

29. V.15

30. Add, subtract and multiply linear expressions

31. V.16

32. Factors of linear expressions

33. V.17

34. Identify equivalent linear expressions

One-variable equations

1. W.1

2. Which x satisfies an equation?

3. W.2

4. Write an equation from words

5. W.3

6. Model and solve equations using algebra tiles

7. W.4

8. Write and solve equations that represent diagrams

9. W.5

10. Properties of equality

11. W.6

12. Solve one-step equations

13. W.7

14. Solve two-step equations

15. W.8

16. Solve multi-step equations

17. W.9

18. Solve equations involving like terms

19. W.10

20. Solve equations: complete the solution

21. W.11

22. Solve equations: word problems

One-variable inequalities

1. X.1

2. Solutions to inequalities

3. X.2

4. Write inequalities from number lines

5. X.3

6. Solve one-step inequalities

7. X.4

8. Solve two-step linear inequalities

9. X.5

10. Solve multi-step inequalities

Linear functions

1. Y.1

2. Identify functions

3. Y.2

4. Does (x, y) satisfy the linear function?

5. Y.3

6. Identify independent and dependent variables

7. Y.4

8. Rate of change

9. Y.5

10. Constant rate of change

11. Y.6

12. Evaluate a linear function

13. Y.7

14. Complete a table for a linear function

15. Y.8

16. Complete a table and graph a linear function

17. Y.9

18. Interpret the graph of a linear function: word problems

19. Y.10

20. Find the gradient of a graph

21. Y.11

22. Find the gradient from two points

23. Y.12

24. Find a missing coordinate using gradient

25. Y.13

26. Find the gradient of an equation

27. Y.14

28. Graph a line using gradient

29. Y.15

30. Graph a line from an equation

31. Y.16

32. Write a linear function from a table

33. Y.17

34. Write linear functions: word problems

35. Y.18

36. Compare linear functions: graphs, tables and equations

Nonlinear functions

1. Z.1

2. Identify linear and nonlinear functions

3. Z.2

4. Does (x, y) satisfy the nonlinear function?

5. Z.3

6. Evaluate a nonlinear function

7. Z.4

8. Find values using function graphs

9. Z.5

10. Complete a table for a function graph

Monomials and polynomials

1. AA.1

2. Identify monomials

3. AA.2

4. Model polynomials with algebra tiles

5. AA.3

6. Add and subtract polynomials using algebra tiles

7. AA.4

8. Add and subtract polynomials

9. AA.5

10. Add polynomials to find perimeter

11. AA.6

12. Multiply monomials

13. AA.7

14. Divide monomials

15. AA.8

16. Multiply and divide monomials

17. AA.9

18. Powers of monomials

19. AA.10

20. Square and cube roots of monomials

21. AA.11

22. Multiply polynomials using algebra tiles

23. AA.12

24. Multiply polynomials

25. AA.13

26. Multiply polynomials to find area

Data and graphs

1. BB.1

2. Interpret tables

3. BB.2

4. Interpret bar graphs

5. BB.3

6. Create bar graphs

7. BB.4

8. Interpret line graphs

9. BB.5

10. Create line graphs

11. BB.6

12. Interpret line plots

13. BB.7

14. Create line plots

15. BB.8

16. Interpret stem-and-leaf plots

17. BB.9

18. Create stem-and-leaf plots

19. BB.10

20. Interpret histograms

21. BB.11

22. Create histograms

23. BB.12

24. Create frequency charts

25. BB.13

26. Interpret box-and-whisker plots

27. BB.14

28. Scatter plots

29. BB.15

30. Interpret circle graphs

31. BB.16

32. Circle graphs and central angles

33. BB.17

34. Choose the best type of graph

Statistics

1. CC.1

2. Calculate mean, median, mode and range

3. CC.2

4. Interpret charts to find mean, median, mode and range

5. CC.3

6. Mean, median, mode and range: find the missing number

7. CC.4

8. Changes in mean, median, mode and range

9. CC.5

10. Quartiles

11. CC.6

12. Identify representative, random and biased samples

Probability

1. DD.1

2. Probability of simple events

3. DD.2

4. Probability of opposite, mutually exclusive and overlapping events

5. DD.3

6. Experimental probability

7. DD.4

8. Make predictions

9. DD.5

10. Compound events: find the number of outcomes

11. DD.6

12. Identify independent and dependent events

13. DD.7

14. Probability of independent and dependent events

15. DD.8

16. Counting principle