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 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.1

2. Classify numbers

3. A.2

4. Compare and order rational numbers

5. A.3

6. Number lines

7. A.4

8. Convert between decimals and fractions

9. A.5

10. Square roots

11. A.6

12. Cube roots

Operations

1. B.1

2. Add, subtract, multiply and divide integers

3. B.2

4. Evaluate numerical expressions involving integers

5. B.3

6. Evaluate variable expressions involving integers

7. B.4

8. Add and subtract rational numbers

9. B.5

10. Multiply and divide rational numbers

11. B.6

12. Evaluate numerical expressions involving rational numbers

13. B.7

14. Evaluate variable expressions involving rational numbers

Ratios, rates and proportions

1. C.1

2. Identify equivalent ratios

3. C.2

4. Write an equivalent ratio

5. C.3

6. Unit rates

7. C.4

8. Unit prices

9. C.5

10. Solve proportions

11. C.6

12. Solve proportions: word problems

13. C.7

14. Scale drawings: word problems

Percents

1. D.1

2. Convert between percents, fractions and decimals

3. D.2

4. Solve percent equations

5. D.3

6. Percent word problems

7. D.4

8. Percent of change

9. D.5

10. Percent of change: word problems

11. D.6

12. Simple interest

13. D.7

14. Compound interest

15. D.8

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

17. D.9

18. Find the percent: discount and mark-up

19. D.10

20. Multi-step problems with percents

Measurement

1. E.1

2. Convert rates and measurements

3. E.2

4. Precision

5. E.3

6. Greatest possible error

7. E.4

8. Minimum and maximum area and volume

9. E.5

10. Percent error

11. E.6

12. Percent error: area and volume

Geometry

1. F.1

2. Perimeter

3. F.2

4. Area

5. F.3

6. Area of compound figures

7. F.4

8. Interior angles of polygons

9. F.5

10. Transversal of parallel lines

11. F.6

12. Volume

13. F.7

14. Surface area

15. F.8

16. Congruent figures: side lengths and angle measures

17. F.9

18. Similar figures: side lengths and angle measures

19. F.10

20. Similar triangles and indirect measurement

21. F.11

22. Dilations and scale factors

23. F.12

24. Area and perimeter of similar figures

25. F.13

26. Area between two shapes

27. F.14

28. Similar solids

29. F.15

30. Volume and surface area of similar solids

31. F.16

32. Perimeter, area and volume: changes in scale

33. F.17

34. Pythagoras' theorem

35. F.18

36. Pythagoras' theorem: word problems

37. F.19

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

39. F.20

40. Special right triangles

Coordinate plane

1. G.1

2. Coordinate plane review

3. G.2

4. Midpoints

5. G.3

6. Distance between two points

Properties

1. H.1

2. Properties of addition and multiplication

3. H.2

4. Distributive property

5. H.3

6. Simplify variable expressions using properties

7. H.4

8. Properties of equality

Variable expressions and equations

1. I.1

2. Write variable expressions

3. I.2

4. Simplify variable expressions involving like terms and the distributive property

5. I.3

6. Identify equivalent linear expressions

7. I.4

8. Write variable equations

9. I.5

10. Does x satisfy the equation?

11. I.6

12. Solve equations using order of operations

Solve equations

1. J.1

2. Model and solve equations using algebra tiles

3. J.2

4. Write and solve equations that represent diagrams

5. J.3

6. Solve one-step linear equations

7. J.4

8. Solve two-step linear equations

9. J.5

10. Solve advanced linear equations

11. J.6

12. Solve equations with variables on both sides

13. J.7

14. Solve equations: complete the solution

15. J.8

16. Find the number of solutions

17. J.9

18. Create equations with no solutions or infinitely many solutions

19. J.10

20. Solve linear equations: word problems

21. J.11

22. Solve linear equations: mixed review

Single-variable inequalities

1. K.1

2. Graph inequalities

3. K.2

4. Write inequalities from graphs

5. K.3

6. Identify solutions to inequalities

7. K.4

8. Solve one-step linear inequalities: addition and subtraction

9. K.5

10. Solve one-step linear inequalities: multiplication and division

11. K.6

12. Solve one-step linear inequalities

13. K.7

14. Graph solutions to one-step linear inequalities

15. K.8

16. Solve two-step linear inequalities

17. K.9

18. Graph solutions to two-step linear inequalities

19. K.10

20. Solve advanced linear inequalities

21. K.11

22. Graph solutions to advanced linear inequalities

Data and graphs

1. L.1

2. Interpret bar graphs, line graphs and histograms

3. L.2

4. Create bar graphs, line graphs and histograms

5. L.3

6. Interpret circle graphs

7. L.4

8. Interpret stem-and-leaf plots

9. L.5

10. Interpret box-and-whisker plots

11. L.6

12. Interpret a scatter plot

13. L.7

14. Scatter plots: line of best fit

Relations and functions

1. M.1

2. Relations: convert between tables, graphs, mappings and lists of points

3. M.2

4. Identify independent and dependent variables

5. M.3

6. Identify functions

7. M.4

8. Identify functions: vertical line test

9. M.5

10. Find values using function graphs

11. M.6

12. Evaluate a function

13. M.7

14. Evaluate a function: plug in an expression

15. M.8

16. Complete a function table from a graph

17. M.9

18. Complete a function table from an equation

19. M.10

20. Interpret the graph of a function: word problems

Direct variation

1. N.1

2. Identify proportional relationships

3. N.2

4. Find the constant of variation

5. N.3

6. Graph a proportional relationship

7. N.4

8. Write direct variation equations

9. N.5

10. Write and solve direct variation equations

Linear functions

1. O.1

2. Identify linear functions

3. O.2

4. Find the gradient of a graph

5. O.3

6. Find the gradient from two points

7. O.4

8. Find a missing coordinate using gradient

9. O.5

10. Find the gradient and y-intercept of a linear equation

11. O.6

12. Graph an equation in y=mx+c form

13. O.7

14. Write an equation in y=mx+c form from a graph

15. O.8

16. Write an equation in y=mx+c form

17. O.9

18. Write an equation in y=mx+c form from a table

19. O.10

20. Write an equation in y=mx+c form from a word problem

21. O.11

22. Linear equations: solve for y

23. O.12

24. Write linear functions to solve word problems

25. O.13

26. Complete a table and graph a linear function

27. O.14

28. Compare linear functions: graphs, tables and equations

29. O.15

30. Write equations in standard form

31. O.16

32. Standard form: find x- and y-intercepts

33. O.17

34. Standard form: graph an equation

35. O.18

36. Equations of horizontal and vertical lines

37. O.19

38. Graph a horizontal or vertical line

39. O.20

40. Point-gradient form: graph an equation

41. O.21

42. Point-gradient form: write an equation

43. O.22

44. Point-gradient form: write an equation from a graph

45. O.23

46. Gradients of parallel and perpendicular lines

47. O.24

48. Write an equation for a parallel or perpendicular line

49. O.25

50. Transformations of linear functions

Linear inequalities

1. P.1

2. Does (x, y) satisfy the inequality?

3. P.2

4. Linear inequalities: solve for y

5. P.3

6. Graph a linear inequality in the coordinate plane

7. P.4

8. Linear inequalities: word problems

9. P.5

10. Is (x, y) a solution to the system of inequalities?

Simultaneous equations

1. Q.1

2. Is (x, y) a solution to the simultaneous equations?

3. Q.2

4. Solve simultaneous equations by graphing

5. Q.3

6. Solve simultaneous equations by graphing: word problems

7. Q.4

8. Find the number of solutions to simultaneous equations by graphing

9. Q.5

10. Find the number of solutions to simultaneous equations

11. Q.6

12. Solve simultaneous equations using substitution

13. Q.7

14. Solve simultaneous equations using substitution: word problems

15. Q.8

16. Solve simultaneous equations using elimination

17. Q.9

18. Solve simultaneous equations using elimination: word problems

Exponents

1. R.1

2. Exponents with integer bases

3. R.2

4. Exponents with decimal and fractional bases

5. R.3

6. Negative exponents

7. R.4

8. Multiplication with exponents

9. R.5

10. Division with exponents

11. R.6

12. Multiplication and division with exponents

13. R.7

14. Power rule

15. R.8

16. Evaluate expressions using properties of exponents

17. R.9

18. Identify equivalent expressions involving exponents

Standard form

1. S.1

2. Convert between ordinary numbers and standard form

3. S.2

4. Compare numbers written in standard form

5. S.3

6. Multiply numbers written in standard form

7. S.4

8. Divide numbers written in standard form

Monomials

1. T.1

2. Identify monomials

3. T.2

4. Multiply monomials

5. T.3

6. Divide monomials

7. T.4

8. Multiply and divide monomials

9. T.5

10. Powers of monomials

Polynomials

1. U.1

2. Polynomial vocabulary

3. U.2

4. Model polynomials with algebra tiles

5. U.3

6. Add and subtract polynomials using algebra tiles

7. U.4

8. Add and subtract polynomials

9. U.5

10. Add polynomials to find perimeter

11. U.6

12. Multiply a polynomial by a monomial

13. U.7

14. Multiply two polynomials using algebra tiles

15. U.8

16. Multiply two binomials

17. U.9

18. Multiply two binomials: special cases

19. U.10

20. Multiply polynomials

Factorising

1. V.1

2. HCF of monomials

3. V.2

4. Factorise out a monomial

5. V.3

6. Factorise quadratics with leading coefficient 1

7. V.4

8. Factorise quadratics with other leading coefficients

9. V.5

10. Factorise quadratics: special cases

11. V.6

12. Factorise quadratics using algebra tiles

13. V.7

14. Factorise by grouping

15. V.8

16. Factorise polynomials

Radical expressions

1. W.1

2. Simplify radical expressions

3. W.2

4. Simplify radical expressions with variables

5. W.3

6. Simplify radical expressions involving fractions

7. W.4

8. Multiply radical expressions

9. W.5

10. Add and subtract radical expressions

11. W.6

12. Simplify radical expressions using the distributive property

13. W.7

14. Divide radical expressions

15. W.8

16. Simplify radical expressions: mixed review

Rational exponents

1. X.1

2. Evaluate rational exponents

3. X.2

4. Multiplication with rational exponents

5. X.3

6. Division with rational exponents

7. X.4

8. Power rule with rational exponents

9. X.5

10. Simplify expressions involving rational exponents I

11. X.6

12. Simplify expressions involving rational exponents II

Rational functions and expressions

1. Y.1

2. Simplify complex fractions

3. Y.2

4. Simplify rational expressions

5. Y.3

6. Multiply and divide rational expressions

7. Y.4

8. Divide polynomials

9. Y.5

10. Add and subtract rational expressions

11. Y.6

12. Solve rational equations

Problem solving

1. Z.1

2. Word problems: mixed review

3. Z.2

4. Word problems with money

5. Z.3

6. Consecutive integer problems

7. Z.4

8. Rate of travel: word problems

9. Z.5

10. Weighted averages: word problems

Probability

1. AA.1

2. Theoretical probability

3. AA.2

4. Experimental probability

5. AA.3

6. Compound events: find the number of outcomes

7. AA.4

8. Identify independent and dependent events

9. AA.5

10. Probability of independent and dependent events

Statistics

1. BB.1

2. Calculate mean, median, mode and range

3. BB.2

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

5. BB.3

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

7. BB.4

8. Quartiles

9. BB.5

10. Identify biased samples