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GCE N(A)-Level Maths Topics

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1. Numbers and Relations

1.1 Place value
1.2 Comparing and ordering numbers
1.3 Rounding numbers

2. Number Theory

2.1 Divisibility rules
2.2 Determining common factors
2.3 Determining common multiples
2.4 Introduction to exponents

3. Adding and Subtracting Integers

3.1 Introduction to integer addition
3.2 Adding integers
3.3 Introduction to integer subtraction
3.4 Subtracting integers
3.5 Application of integer operations

4. Multiplying and Dividing Integers

4.1 Understanding integer multiplication
4.2 Multiplying integers
4.3 Understanding integer division
4.4 Dividing integers
4.5 Applications of integer operations

5. Operations with decimals

5.1 Adding and subtracting decimals
5.2 Multiplying decimals
5.3 Dividing decimals
5.4 Order of operations (BEDMAS)

6. Adding and Subtracting Fractions

6.1 Using models to add and subtract fractions
6.2 Adding fractions with like denominators
6.3 Subtracting fractions with like denominators
6.4 Adding and subtracting fractions with unlike denominators
6.5 Adding and subtracting mixed numbers

7. Multiplying and Dividing Fractions

7.1 Multiplying fractions and whole numbers
7.2 Dividing fractions with whole numbers
7.3 Multiplying proper fractions
7.4 Multiplying improper fractions and mixed numbers
7.5 Dividing fractions and mixed numbers
7.6 Applications of fraction operations

8. Ratios, Rates, and Proportions

8.1 Ratios
8.2 Converting among ratios, fractions, and decimals
8.3 Rates
8.4 Proportions

9. Percents

9.1 Representing percents
9.2 Percents, fractions, and decimals
9.3 Percent of a number
9.4 Adding and multiplying percents
9.5 Taxes, discounts, tips and more
9.6 Simple interest

10. Scale Factors and Similarity

10.1 Enlargements and reductions with scale factors
10.2 Scale diagrams
10.3 Similar triangles
10.4 Similar polygons

11. Measuring Systems

11.1 Metric systems
11.2 Imperial systems
11.3 Conversions between metric and imperial systems
11.4 Conversions involve squares and cubic

12. Number Systems

12.1 Understanding the number systems
12.2 Prime factorisation
12.3 Highest common factors (HCF)
12.4 Least Common Multiple (LCM)
12.5 Rational vs. Irrational numbers
12.6 Converting repeating decimals to fractions

13. Solving Linear Equations

13.1 Solving linear equations using multiplication and division
13.2 Solving two-step linear equations: ax + b = c, x/a + b = c
13.3 Solving linear equations using distributive property: a(x + b) = c
13.4 Solving linear equations with variables on both sides
13.5 Solving literal equations

14. Linear Inequalities

14.1 Express linear inequalities graphically and algebraically
14.2 Solving one-step linear inequalities
14.3 Solving multi-step linear inequalities

15. Algebraic Expressions

15.1 Equivalent algebraic expressions
15.2 Adding and subtracting algebraic expressions
15.3 Multiplying monomial by monomial
15.4 Multiplying monomial by binomial
15.5 Multiplying binomial by binomial
15.6 Multiplying polynomial by polynomial
15.7 Applications of algebraic expressions

16. Linear Functions

16.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
16.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
16.3 Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
16.4 Gradient intercept form: y = mx + b
16.5 General form: Ax + By + C = 0
16.6 Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
16.7 Rate of change
16.8 Graphing linear functions using table of values
16.9 Graphing linear functions using x- and y-intercepts
16.10 Graphing from slope-intercept form y=mx+b
16.11 Graphing linear functions using a single point and gradient
16.12 Word problems of graphing linear functions
16.13 Applications of linear relations

17. Simultaneous Equations

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

18. Laws of Indices

18.1 Indices: Product rule (a^x)(a^y) = a^(x+y)
18.2 Indices: Division rule (a^x / a^y) = a^(x-y)
18.3 Indices: Power rule (a^x)^y = a^(x * y)
18.4 Negative indices
18.5 Zero index: a^0 = 1
18.6 Rational indices
18.7 Standard form

19. Quadratic Functions

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

20. Solving Quadratic Equations

20.1 Solving quadratic equations by factorising
20.2 Solving quadratic equations by completing the square
20.3 Using quadratic formula to solve quadratic equations
20.4 The discriminant: Nature of roots of quadratic equations
20.5 Applications of quadratic equations

21. Algebraic Fractions

21.1 Simplifying algebraic fractions and restrictions
21.2 Adding and subtracting algebraic fractions
21.3 Multiplying algebraic fractions
21.4 Dividing algebraic fractions
21.5 Solving equations with algebraic fractions
21.6 Applications of equations with algebraic fractions
21.7 Simplifying complex fractions

22. Exponential Functions

22.1 Solving exponential equations using exponent rules
22.2 Graphing exponential functions

23. Geometry and Measurement

23.1 Parallel and perpendicular line segments
23.2 Perpendicular bisectors
23.3 Angle bisectors

24. Congruent Triangles

24.1 Classifying Triangles
24.2 Congruence and Congruent Triangles
24.3 Triangles Congruent by SSS Proofs
24.4 Triangles Congruent by SAS and HL Proofs
24.5 Triangles Congruent by ASA and AAS Proofs
24.6 Isosceles and Equilateral Triangles

25. Angles, Lines, and Transversals

25.1 Pairs of lines and angles
25.2 Parallel lines and transversals
25.3 Parallel line proofs
25.4 Perpendicular line proofs

26. Circles

26.1 Angles in a circle
26.2 Chord properties
26.3 Tangent properties
26.4 Circle and circumference
26.5 Arcs of a circle
26.6 Areas and sectors of circles
26.7 Inscribed Angles and Proofs
26.8 Central and inscribed angles in circles

27. Surface Area and Volume

27.1 Surface area and volume of prisms
27.2 Surface area and volume of pyramids
27.3 Surface area and volume of cylinders
27.4 Surface area and volume of cones
27.5 Surface area and volume of spheres

28. Trigonometry

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

29. Angle Measure in Radian

29.1 Converting between degrees and radians
29.2 Radian measure and arc length

30. Sine Rule and Cosine Rule

30.1 Sine rule
30.2 Cosine rule
30.3 Sine rule and cosine rule word problems

31. Bearings

31.1 Introduction to bearings
31.2 Bearings and direction word problems
31.3 Angle of elevation and depression

32. Data and Graphs

32.1 Reading and drawing bar graphs
32.2 Reading and drawing histograms
32.3 Reading and drawing line graphs
32.4 Box-and-whisker plots and scatter plots
32.5 Reading and drawing stem-and-leaf diagrams
32.6 Reading and drawing Venn diagrams
32.7 Frequency tables and dot diagrams
32.8 Pie charts

33. Representing Data

33.1 Advantages and disadvantages of different graphs
33.2 Misleading graphs
33.3 Critiquing data presentation

34. Statistics

34.1 Median and mode
34.2 Mean
34.3 Range and outliers
34.4 Application of averages
34.5 Standard deviation, and variance
34.6 Z-score, quartiles, and percentiles

35. Probability

35.1 Determining probabilities using tree diagrams and tables
35.2 Probability of independent events
35.3 Frequency distribution and histograms
35.4 Addition rule for "OR"
35.5 Multiplication rule for "AND"

35 Chapters · 186 Topics · 1498 Videos

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