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