Cambridge’s International A and AS Levels satisfy the entry criteria for every university around the world and are considered equal in value to UK A and AS Levels. They are recognized by universities in NZ, Australia, Canada, UK (including Oxford and Cambridge) as well as throughout the European Union.
In the USA they are accepted by all Ivy League universities (such as Harvard) and can earn students course credits up to one full year of credit. Cambridge publishes comprehensive lists of all institutions that recognize its qualifications, including details about entry criteria and the grades needed for entrance. If you are considering the overseas study, you are advised to include three A Level subjects in your course of study.
CORE MATHEMATICS FOR CAMBRIDGE IGCSE
1. Basic Number
Learn 1.1 The Structure of Numbers
Learn 2.2 Types of Number
2. Basic Algebra
Learn 2.1 Using Letters for numbers
Learn 2.2 Expressing basic arithmetic processes algebraically
Learn 2.3 Substitution
Learn 2.4 Using Formulae
3. Mensuration: perimeter and area
Learn 3.1 Perimeters and areas of basic 2-D shapes
Learn 3.2 Circles
Learn 3.3 Composite Shapes
4. Mensuration: Volume and surface area
Learn 4.1 Volume of a cube or cuboid
Learn 4.2 Volume of a prism
Learn 4.3 Volume of a cylinder
Learn 4.4 Surface area and nets
5. Numbers and sequences
Learn 5.1 The rules of a sequence
Learn 5.2 The nth term of a sequence
6. Directed numbers
Learn 6.1 Using directed numbers
Learn 6.2 Adding and subtracting positive and negative numbers
learn 6.3 Multiplying and dividing positive and negative numbers
7. Time and Money
Learn 7.1 Time
Learn 7.2 Money
8. Decimals, fractions, and percentages
learn 8.1 Working with decimals
Learn 8.2 Fractions
Learn 8.3 Fractions, decimals and percentages
learn 8.4 Working with fractions: addition and subtraction
learn 8.5 Working with fractions: Multiplication and division
Learn 8.6 Ordering operations
9.Algebra
Learn 9.1 Expanding brackets
learn 9.2 Factorising expressions
learn 9.3 Constructing simple expressions
Learn 9.4 Solving linear equations
10. Transformations 1
Learn 10.1 Reflection
Learn 10.2 Rotation
11. Indices and standard form
Learn 11.1 Squares and cubes
Learn 11.2 indices and powers
Learn 11.3 Standard form
12. Statistical diagrams
Learn 12.1 Collecting and interpreting data
Learn 12.2 Bar charts, histograms, and pictograms
Learn 12.3 Pie charts and scatter diagrams
13. Symmetry
Learn 13.1 line symmetry
Learn 13.2 Rotational Symmetry
Learn 13.3 Special shapes and their symmetries
14. Geometry
Learn 14.1 Angles
Learn 14.2 Angle sum of a triangle and quadrilateral
Learn 14.3 Special triangles and quadrilaterals
15. Percentages
Learn 15.1 Percentage of a quantity
Learn 15.2 Writing one quantity as a percentage of another
Learn 15.3 Percentage increase and decrease
16. Transformations-2
Learn 16.1 Translation
Learn 16.2 Enlargement
Learn 16.3 Recognising and describing transformations
17. Probability
Learn 17.1 Probability and probability scale
Learn 17.2 Experimental probability
18. Measures
Learn 18.1 Metric Units
Learn 18.2 Changing units of area, volume, and capacity
19. Ratio and proportion
Learn 19.1 Simplifying ratios
Learn 19.2 The unitary method
Learn 19.3 Using ratios to find quantities
Learn 19.4 Dividing quantities in a given ratio
Learn 19.5 Compound measures
20. Real-life graphs
Learn 20.1 Cartesian coordinates
Learn 20.2 Conversion graphs
Learn 20.3 Travel graphs
21. Personal finance
Learn 21.1 Earnings
Learn 21.2 Buying and selling
Learn 21.3 Interest
22. Estimation and accuracy
Learn 22.1 Rounding
Learn 22.2 Decimal places
Learn 22.3 Significant figures
Learn 22.4 Upper and lower bounds
23. Constructions
Learn 23.1 Measuring and drawing lines and angles
Learn 23.2 Construction triangles
Learn 23.3 Constructing parallel lines
Learn 23.4 Bisectors and scale drawings
24. Loci
Learn 24.1 describing a locus
Learn 24.2 Constructions and Loci
Learn 24.3 Loci and scale drawing
25. Statistical measures
Learn 25.1 Mean, median and mode
Learn 25.2 using frequency tables
Learn 25.3 Comparing sets of data
26. Straight line graphs
Learn 26.1 Introduction to straight line graphs
Learn 26.2 Gradient of straight line graphs
Learn 26.3 Finding the equation of a straight line graph
27. Angle properties
Learn 27.1 Regular polygons
Learn 27.2 Angle Properties of circles
28. Equations and formulae
Learn 28.1 Transforming simple formulae
Learn 28.2 Equations with the unknown on both sides
Learn 28.3 Equations with brackets
Learn 28.4 Simultaneous equations
29. Graphs of functions
Learn 29.1 Graphs of quadratics
Learn 29.2 Graphs of reciprocal functions
Learn 29.3 Solving equations by graphical methods
30. Trigonometry
Learn 30.1 Pythagoras’s Theorem
Learn 30.2 Trigonometry
Learn 30.3 Bearings
31. Vectors
Learn 31.1 Vector notation
Learn 31.2 Addition, subtraction and multiplication of vectors
Extended Mathematics for Cambridge IGCSE
1. Number
1.1 Arithmetic
1.2 Number facts and sequences
1.3 Approximations and estimation
1.4 Standard form
1.5 Ration and proportion
1.6 Percentages
1.7 Speed, distance and time
1.8 Calculator
1.9 Using a spreadsheet on a computer
2 . Algebra 1
2.1 Negative Numbers
2.2 Directed Numbers
2.3 Formulae
2.4 Brackets and simplifying
2.5 Linear equations
2.6 Problems solved by linear equations
2.7 Simultaneous equations
2.8 Problems solved by Simultaneous equations
2.9 Factorising
2.10 Quadratic equations
2.11 Problems solved by quadratic equations
3.Mensuration
3.1 Area
3.2 the circle
3.3 arc length and sector area
3.4 Chord of a circle
3.5 Volume
3.6 Surface area
4. Geometry
4.1 Fundamental results
4.2 Pythagoras’ theorem
4.3 Symmetry
4.4 similarity
4.5 Circle Theorems
4.6 Constructions and loci
4.7 Nets
5. Algebra-2
5.1 Algebraic fractions
5.2 Changing the subject of a formula
5.3 Variation
5.4 Indices
5.5 Inequalities
5.6 Linear Programming
6. Trigonometry
6.1 Right-angled triangles
6.2 Scale drawing
6.3 Three-dimensional problems
6.4 Sine, cosine, tangent for any angle
6.5 The sine rule
6.6 The cosine rule
7. Graphs
7.1 Drawing accurate graphs
7.2 Gradients
7.3 The form y=mx+c
7.4 Plotting curves
7.5 interpreting graphs
7.6 Graphical solution of equations
7.7 Distance time graphs
7.8 Speed-time graphs
8. Sets, vectors, and functions
8.1 Sets
8.2 logical problems
8.3 vectors
8.4 Column Vectors
8.5 Vector Geometry
8.6 Functions
9. Matrices and Transformations
9.1 Matrix operations
9.2 The inverse of a matrix
9.3 Simple transformations
9.4 Combined transformations
9.5 Transformations using matrices
10. Statistics and Probability
10.1 Data display
10.2 Mean, Median and Mode
10.3 Cumulative frequency
10.4 Simple probability
10.5 Exclusive and independent events
10.6 Tree diagrams
11. investigation Practical Problems, Puzzles
11.1 investigation
11.2 Practical problems
11.3 Puzzles and experiments
Pure Mathematics 2 & 3
Unit P2& P3
- Polynomials
- The modulus function
- Exponential and logarithmic functions
- Differentiating exponentials and logarithms
- Trigonometry
- Differentiating trigonometric functions
- differentiating Products
- Solving equations numerically
- The trapezium rule
- Parametric equations
- Curves defined implicitly
Unit P3
- Vectors: Lines in two and three dimensions
- Vectors: Planes in three dimensions
- The binomial expansion
- Rational functions
- Complex numbers
- 17. Complex numbers in polar form
- Integration
- Differential equations
Statistics – 1
- Representation of data
- Measures of location
- Measures of spread
- Probability
- Permutations and combinations
- Probability distributions
- The binomial distribution
- Expectation and variance of a random variable
- The normal distribution