Year 9 Maths Help & Practice

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1Number System and Radicals
2Adding and Subtracting Integers
3Multiplying and Dividing Integers
4Ratios, Rates, and Proportions
5Percents
6Lines, Angles and Transversals
7Pythagorean Theorem
8Introduction to Surface Area of 3D Shapes
9Introduction to Volume
10Scale Factors and Similarity
11Introduction to Trigonometry
- 11.1Use sine ratio to calculate angles and side (Sin = )
- 11.2Use cosine ratio to calculate angles and side (Cos = )
- 11.3Use tangent ratio to calculate angles and side (Tan = )
- 11.4Combination of SohCahToa questions
- 11.5Solving expressions using 45-45-90 special right triangles
- 11.6Solving expressions using 30-60-90 special right triangles
- 11.7Word problems relating ladder in trigonometry
- 11.8Word problems relating guy wire in trigonometry
- 11.9Other word problems relating angles in trigonometry
- 11.1Use sine ratio to calculate angles and side (Sin = )
12Patterns and Solving Equations
13Linear Equations (Basic)
- 13.1Model and solve one-step linear equations: ax = b, x/a = b
- 13.2Solving two-step linear equations using addition and subtraction: ax + b = c
- 13.3Solving two-step linear equations using multiplication and division: x/a + b = c
- 13.4Solving two-step linear equations using distributive property: a(x + b) = c
- 13.1Model and solve one-step linear equations: ax = b, x/a = b
14Solving Linear Equations
15Solving Linear Inequalities
16Introduction to Relations and Functions
17Linear Relations
18Linear Functions
- 18.1Distance formula:
- 18.2Midpoint formula:
- 18.3Gradient equation:
- 18.4Gradient intercept form: y = mx + b
- 18.5General form: Ax + By + C = 0
- 18.6Gradient-point form:
- 18.7Rate of change
- 18.8Graphing linear functions using table of values
- 18.9Graphing linear functions using x- and y-intercepts
- 18.10Graphing from gradient-intercept form y=mx+b
- 18.11Graphing linear functions using a single point and gradient
- 18.12Word problems of graphing linear functions
- 18.13Parallel and perpendicular lines in linear functions
- 18.14Applications of linear relations
- 18.1Distance formula:
19Solving Simultaneous Equations
- 19.1Determining number of solutions to linear equations
- 19.2Solving simultaneous equations by graphing
- 19.3Solving simultaneous equations by elimination
- 19.4Solving simultaneous equations by substitution
- 19.5Money related questions in linear equations
- 19.6Unknown number related questions in linear equations
- 19.7Distance and time related questions in linear equations
- 19.8Rectangular shape related questions in linear equations
- 19.1Determining number of solutions to linear equations
20Introduction to Powers and Exponents
21Exponents
- 21.1Product rule of exponents
- 21.2Quotient rule of exponents
- 21.3Power of a product rule
- 21.4Power of a quotient rule
- 21.5Power of a power rule
- 21.6Negative exponent rule
- 21.7Combining the exponent rules
- 21.8Scientific notation
- 21.9Convert between radicals and rational exponents
- 21.10Solving for exponents
- 21.1Product rule of exponents
22Introduction to Polynomials
23Multiplying and Dividing Polynomials
24Factorising Polynomial Expressions
- 24.1Common factors of polynomials
- 24.2Factorising polynomials by grouping
- 24.3Solving polynomials with the unknown "b" from x^2 + bx + c
- 24.4Solving polynomials with the unknown "c" from x^2 + bx + c
- 24.5Factorising polynomials: x^2 + bx + c
- 24.6Applications of polynomials: x^2 + bx + c
- 24.7Solving polynomials with the unknown "b" from
- 24.8Factorising polynomials:
- 24.9Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
- 24.10Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
- 24.11Evaluating polynomials
- 24.12Using algebra tiles to factorise polynomials
- 24.13Solving polynomial equations
- 24.14Word problems of polynomials
- 24.1Common factors of polynomials
25Radicals
26Algebraic Fractions
- 26.1Simplifying algebraic fractions and restrictions
- 26.2Adding and subtracting algebraic fractions
- 26.3Multiplying algebraic fractions
- 26.4Dividing algebraic fractions
- 26.5Solving equations with algebraic fractions
- 26.6Applications of equations with algebraic fractions
- 26.7Simplifying complex fractions
- 26.8Partial fraction decomposition
- 26.1Simplifying algebraic fractions and restrictions
27Reciprocal Functions
28Introduction to Probability
29Statistics
30Data and Graphs
