# Secondary 4 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

##### 3Solving Linear Equations

##### 4Linear Inequalities

##### 5Introduction to Relations and Functions

##### 6Linear Functions

- 6.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- 6.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
- 6.3Gradient equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- 6.4Gradient intercept form: y = mx + b
- 6.5General form: Ax + By + C = 0
- 6.6Gradient-point form: $y - y_1 = m (x - x_1)$
- 6.7Rate of change
- 6.8Graphing linear functions using table of values
- 6.9Graphing linear functions using x- and y-intercepts
- 6.10Graphing from gradient-intercept form y=mx+b
- 6.11Graphing linear functions using a single point and gradient
- 6.12Word problems of graphing linear functions
- 6.13Parallel and perpendicular lines in linear functions
- 6.14Applications of linear relations

- 6.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
##### 7Linear Equations (Advanced)

- 7.1Introduction to linear equations
- 7.2Introduction to nonlinear equations
- 7.3Special case of linear equations: Horizontal lines
- 7.4Special case of linear equations: Vertical lines
- 7.5Parallel line equation
- 7.6Perpendicular line equation
- 7.7Combination of both parallel and perpendicular line equations
- 7.8Applications of linear equations

- 7.1Introduction to linear equations
##### 8Solving Simultaneous Equations

- 8.1Determining number of solutions to linear equations
- 8.2Solving simultaneous equations by graphing
- 8.3Solving simultaneous equations by elimination
- 8.4Solving simultaneous equations by substitution
- 8.5Money related questions in linear equations
- 8.6Unknown number related questions in linear equations
- 8.7Distance and time related questions in linear equations
- 8.8Rectangular shape related questions in linear equations

- 8.1Determining number of solutions to linear equations
##### 9Exponents

##### 10Exponential Functions

- 10.1Exponents: Product rule
*(a^x)(a^y) = a^(x+y)* - 10.2Exponents: Division rule (a^x / a^y) = a^(x-y)
- 10.3Exponents: Power rule
*(a^x)^y = a^(x * y)* - 10.4Exponents: Negative exponents
- 10.5Exponents: Zero exponent:
*a^0 = 1* - 10.6Exponents: Rational exponents
- 10.7Graphing exponential functions
- 10.8Graphing transformations of exponential functions
- 10.9Finding an exponential function given its graph

- 10.1Exponents: Product rule
##### 11Exponential Growth and Decay

##### 12Operations of Polynomials

##### 13Factorising Quadratic Equations

##### 14Quadratic Functions

- 14.1Characteristics of quadratic functions
- 14.2Transformations of quadratic functions
- 14.3Quadratic function in general form:
*y = ax^2 + bx + c* - 14.4Quadratic function in vertex form:
*y = a(x-p)^2 + q* - 14.5Completing the square
- 14.6Converting from general to vertex form by completing the square
- 14.7Shortcut: Vertex formula
- 14.8Graphing parabolas for given quadratic functions
- 14.9Finding the quadratic functions for given parabolas
- 14.10Applications of quadratic functions

- 14.1Characteristics of quadratic functions
##### 15Quadratic Equations and Inequalities

##### 16Pythagorean Theorem

##### 17Angles, Lines and Transversals

##### 18Properties of Triangles

##### 19Congruent Triangles

##### 20Symmetry and Surface Area

##### 21Circle Geometry

##### 22Scale Factors and Similarity

##### 23Surface Area and Volume

##### 24Algebraic Fractions

- 24.1Simplifying algebraic fractions and restrictions
- 24.2Adding and subtracting algebraic fractions
- 24.3Multiplying algebraic fractions
- 24.4Dividing algebraic fractions
- 24.5Solving equations with algebraic fractions
- 24.6Applications of equations with algebraic fractions
- 24.7Simplifying complex fractions
- 24.8Partial fraction decomposition

- 24.1Simplifying algebraic fractions and restrictions
##### 25Reciprocal Functions

##### 26Introduction to Trigonometry

- 26.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
- 26.2Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ )
- 26.3Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ )
- 26.4Combination of SohCahToa questions
- 26.5Solving expressions using 45-45-90 special right triangles
- 26.6Solving expressions using 30-60-90 special right triangles
- 26.7Word problems relating ladder in trigonometry
- 26.8Word problems relating guy wire in trigonometry
- 26.9Other word problems relating angles in trigonometry

- 26.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
##### 27Trigonometry

- 27.1Angle in standard position
- 27.2Coterminal angles
- 27.3Reference angle
- 27.4Find the exact value of trigonometric ratios
- 27.5ASTC rule in trigonometry (
**A**ll**S**tudents**T**ake**C**alculus) - 27.6Unit circle
- 27.7Converting between degrees and radians
- 27.8Trigonometric ratios of angles in radians
- 27.9Radian measure and arc length
- 27.10Law of sines
- 27.11Law of cosines
- 27.12Applications of the sine law and cosine law

- 27.1Angle in standard position
##### 28Bearings

##### 29Vectors

##### 30Probability

##### 31Statistics

##### 32Data and Graphs

##### 33Derivatives

##### 34Introduction to Matrices