# Secondary 3 Maths Help & Practice

## Everything You Need in One PlaceHomework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered. | ## Learn and Practise With EaseOur proven video lessons ease you through problems quickly, and you get tonnes of friendly practise on questions that trip students up on tests and finals. | ## Instant and Unlimited HelpOur personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now! |

#### Make math click 💡 and get better grades! Join for Free

##### 1Number System and Radicals

##### 2Rational Numbers

##### 3Ratios, Rates, and Proportions

##### 4Percents

##### 5Coordinates, Quadrants, and Transformations

##### 6Angles, Lines and Transversals

##### 7Properties of Triangles

##### 8Congruent Triangles

##### 9Symmetry and Surface Area

##### 10Pythagorean Theorem

##### 11Surface Area of 3D Shapes

##### 12Circle Geometry

##### 13Volume of 3D Shapes

##### 14Scale Factors and Similarity

##### 15Trigonometry

- 15.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
- 15.2Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ )
- 15.3Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ )
- 15.4Combination of SohCahToa questions
- 15.5Solving expressions using 45-45-90 special right triangles
- 15.6Solving expressions using 30-60-90 special right triangles
- 15.7Word problems relating ladder in trigonometry
- 15.8Word problems relating guy wire in trigonometry
- 15.9Other word problems relating angles in trigonometry

- 15.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
##### 16Solving Linear Equations

##### 17Linear Inequalities

##### 18Introduction to Relations and Functions

##### 19Linear Functions

- 19.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- 19.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
- 19.3Gradient equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- 19.4Gradient intercept form: y = mx + b
- 19.5General form: Ax + By + C = 0
- 19.6Gradient-point form: $y - y_1 = m (x - x_1)$
- 19.7Rate of change
- 19.8Graphing linear functions using table of values
- 19.9Graphing linear functions using x- and y-intercepts
- 19.10Graphing from gradient-intercept form y=mx+b
- 19.11Graphing linear functions using a single point and gradient
- 19.12Word problems of graphing linear functions
- 19.13Parallel and perpendicular lines in linear functions
- 19.14Applications of linear relations

- 19.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
##### 20Linear equations (Advanced)

- 20.1Introduction to linear equations
- 20.2Introduction to nonlinear equations
- 20.3Special case of linear equations: Horizontal lines
- 20.4Special case of linear equations: Vertical lines
- 20.5Parallel line equation
- 20.6Perpendicular line equation
- 20.7Combination of both parallel and perpendicular line equations
- 20.8Applications of linear equations

- 20.1Introduction to linear equations
##### 21Solving Simultaneous Equations

- 21.1Determining number of solutions to linear equations
- 21.2Solving simultaneous equations by graphing
- 21.3Solving simultaneous equations by elimination
- 21.4Solving simultaneous equations by substitution
- 21.5Money related questions in linear equations
- 21.6Unknown number related questions in linear equations
- 21.7Distance and time related questions in linear equations
- 21.8Rectangular shape related questions in linear equations

- 21.1Determining number of solutions to linear equations
##### 22Exponents

- 22.1Product rule of exponents
- 22.2Quotient rule of exponents
- 22.3Power of a product rule
- 22.4Power of a quotient rule
- 22.5Power of a power rule
- 22.6Negative exponent rule
- 22.7Combining the exponent rules
- 22.8Scientific notation
- 22.9Convert between radicals and rational exponents
- 22.10Solving for exponents

- 22.1Product rule of exponents
##### 23Operations of Polynomials

##### 24Exponential Functions

- 24.1Exponents: Product rule
*(a^x)(a^y) = a^(x+y)* - 24.2Exponents: Division rule (a^x / a^y) = a^(x-y)
- 24.3Exponents: Power rule
*(a^x)^y = a^(x * y)* - 24.4Exponents: Negative exponents
- 24.5Exponents: Zero exponent:
*a^0 = 1* - 24.6Exponents: Rational exponents
- 24.7Graphing exponential functions
- 24.8Graphing transformations of exponential functions
- 24.9Finding an exponential function given its graph

- 24.1Exponents: Product rule
##### 25Factorising Polynomial Functions

- 25.1Common factors of polynomials
- 25.2Factorising polynomials by grouping
- 25.3Solving polynomials with the unknown "b" from
*x^2 + bx + c* - 25.4Solving polynomials with the unknown "c" from
*x^2 + bx + c* - 25.5Factorising polynomials:
*x^2 + bx + c* - 25.6Applications of polynomials:
*x^2 + bx + c* - 25.7Solving polynomials with the unknown "b" from $ax^2 + bx + c$
- 25.8Factorising polynomials: $ax^2 + bx + c$
- 25.9Factorising perfect square trinomials:
*(a + b)^2 = a^2 + 2ab + b^2*or*(a - b)^2 = a^2 - 2ab + b^2* - 25.10Find the difference of squares:
*(a - b)(a + b) = (a^2 - b^2)* - 25.11Evaluating polynomials
- 25.12Using algebra tiles to factorise polynomials
- 25.13Solving polynomial equations
- 25.14Word problems of polynomials

- 25.1Common factors of polynomials
##### 26Quadratic Functions

- 26.1Characteristics of quadratic functions
- 26.2Transformations of quadratic functions
- 26.3Quadratic function in general form:
*y = ax^2 + bx + c* - 26.4Quadratic function in vertex form:
*y = a(x-p)^2 + q* - 26.5Completing the square
- 26.6Converting from general to vertex form by completing the square
- 26.7Shortcut: Vertex formula
- 26.8Graphing parabolas for given quadratic functions
- 26.9Finding the quadratic functions for given parabolas
- 26.10Applications of quadratic functions

- 26.1Characteristics of quadratic functions
##### 27Algebraic Fractions

- 27.1Simplifying algebraic fractions and restrictions
- 27.2Adding and subtracting algebraic fractions
- 27.3Multiplying algebraic fractions
- 27.4Dividing algebraic fractions
- 27.5Solving equations with algebraic fractions
- 27.6Applications of equations with algebraic fractions
- 27.7Simplifying complex fractions
- 27.8Partial fraction decomposition

- 27.1Simplifying algebraic fractions and restrictions
##### 28Reciprocal Functions

##### 29Direct and Inverse Variation

##### 30Probability

##### 31Statistics

##### 32Introduction to Matrices