# GCE N(A)-Level Maths Help & Practice

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##### 1Numbers and Relations

##### 2Number Theory

##### 3Adding and Subtracting Integers

##### 4Multiplying and Dividing Integers

##### 5Operations with decimals

##### 6Adding and Subtracting Fractions

##### 7Multiplying and Dividing Fractions

##### 8Ratios, Rates, and Proportions

##### 9Percents

##### 10Scale Factors and Similarity

##### 11Measuring Systems

##### 12Number Systems

##### 13Solving Linear Equations

##### 14Linear Inequalities

##### 15Algebraic Expressions

##### 16Linear Functions

- 16.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- 16.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
- 16.3Gradient equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- 16.4Gradient intercept form: y = mx + b
- 16.5General form: Ax + By + C = 0
- 16.6Gradient-point form: $y - y_1 = m (x - x_1)$
- 16.7Rate of change
- 16.8Graphing linear functions using table of values
- 16.9Graphing linear functions using x- and y-intercepts
- 16.10Graphing from slope-intercept form y=mx+b
- 16.11Graphing linear functions using a single point and gradient
- 16.12Word problems of graphing linear functions
- 16.13Applications of linear relations

- 16.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
##### 17Simultaneous Equations

- 17.1Determining number of solutions to linear equations
- 17.2Solving simultaneous linear equations by graphing
- 17.3Solving simultaneous linear equations by elimination
- 17.4Solving simultaneous linear equations by substitution
- 17.5Money related questions in linear equations
- 17.6Unknown number related questions in linear equations
- 17.7Distance and time related questions in linear equations
- 17.8Rectangular shape related questions in linear equations

- 17.1Determining number of solutions to linear equations
##### 18Laws of Indices

##### 19Quadratic Functions

- 19.1Factorise by taking out the greatest common factor
- 19.2Factorise by grouping
- 19.3Factorising perfect square trinomials:
*(a + b)^2 = a^2 + 2ab + b^2*or*(a - b)^2 = a^2 - 2ab + b^2* - 19.4Factorising difference of squares:
*x^2 - y^2* - 19.5Factorising trinomials
- 19.6Solving polynomials with unknown coefficients
- 19.7Solving polynomials with unknown constant terms
- 19.8Properties and graphs of quadratic functions

- 19.1Factorise by taking out the greatest common factor
##### 20Solving Quadratic Equations

##### 21Algebraic Fractions

##### 22Exponential Functions

##### 23Geometry and Measurement

##### 24Congruent Triangles

##### 25Angles, Lines, and Transversals

##### 26Circles

##### 27Surface Area and Volume

##### 28Trigonometry

- 28.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
- 28.2Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ )
- 28.3Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ )
- 28.4Combination of SohCahToa questions
- 28.5Solving expressions using 45-45-90 special right triangles
- 28.6Solving expressions using 30-60-90 special right triangles
- 28.7Word problems relating ladder in trigonometry
- 28.8Word problems relating guy wire in trigonometry
- 28.9Other word problems relating angles in trigonometry

- 28.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
##### 29Angle Measure in Radian

##### 30Sine Rule and Cosine Rule

##### 31Bearings

##### 32Data and Graphs

##### 33Representing Data

##### 34Statistics

##### 35Probability