IELTS

CAIE Mathematics (Syllabus D)

Hybrid
120 Hrs
Course Description

Cambridge O Level Mathematics (Syllabus D) (4024) is an internationally recognized qualification designed to support learners in building competency, confidence, and fluency in mathematical understanding and techniques. The course encourages students to develop a feel for quantity, patterns, and relationships , fostering reasoning, problem-solving, and analytical skills in both abstract and real-life contexts. It covers a wide scope of mathematical content, including Number, Algebra, Geometry, Trigonometry, and Statistics.

This syllabus provides a strong foundation of mathematical knowledge for both candidates studying mathematics at a higher level and those requiring mathematics to support skills in other subjects. 

The course aims to enable students to:

  • Develop a positive attitude towards mathematics that encourages enjoyment and confidence.
  • Apply their mathematical knowledge and skills to their own lives and the world around them.
  • Use creativity and resilience to analyze and solve problems.
  • Develop the ability to reason logically, make inferences, and draw conclusions.
  • Acquire a foundation for further study in mathematics, such as Cambridge International AS & A Level Mathematics.

Assessment is split equally between two components:

Paper 1 (Non-calculator), which assesses routine procedures and mathematical techniques, and Paper 2 (Calculator), which requires a scientific calculator and focuses on analysis, interpretation, and problem-solving.

The course with Eduva will provide experienced and trained instructors. The classes will be conducted online, utilizing Eduva’s Student Dashboard ensuring students to track their progress in real-time.

Course Content

The subject content for the Cambridge O Level Mathematics (Syllabus D) is organized into the following nine main topics:

Number

  • Types of number
  • Sets
  • Powers and roots
  • Fractions, decimals and percentages
  • Ordering
  • The four operations
  • Indices I
  • Standard form
  • Estimation
  • Limits of accuracy
  • Ratio and proportion
  • Percentages
  • Speed, distance and time
  • Using a calculator
  • Foreign exchange

 Algebra and graphs

  • Algebraic terms and expressions
  • Algebraic manipulation
  • Solving equations and inequalities
  • Sequence
  • Graphs in practical contexts
  • Linear graphs
  • Functions
  • Gradient of a curve
  • Graphs of functions
  • Graphical solution of equations
  • Indices II
  • Variation

 Coordinate geometry

  • Coordinates
  • Gradient
  • Parallel and perpendicular lines

 Geometry

  • Geometrical terms and language
  • Properties of shapes
  • Angles
  • Similarity and congruence
  • Symmetry
  • Circles
  • Construction
  • Loci

 Mensuration

  • Measures
  • Area and perimeter
  • Arc length and sector area
  • Volume and surface area
  • Compound shapes and parts of shapes

Trigonometry

  • Pythagoras’ theorem
  • Right-angled triangles
  • Non-right-angled triangles
  • Pythagoras’ theorem and trigonometry in 3D

Transformations and vectors

  • Transformations
  • Vectors

Probability

  • Probability
  • Tree diagrams
  • Combined events

Statistics

  • Data collection
  • Classification and tabulation of data
  • Presentation of data
  • Measures of central tendency and spread
  • Scatter diagrams
  • Cumulative frequency diagrams
  • Histograms
Learning Objectives

By the end of the Cambridge O Level Mathematics Syllabus-D (4024) course with Eduva, students will be able to:

1. Mathematical Techniques and Routine Procedures (AO1)

  • Demonstrate knowledge of mathematical facts, concepts, and techniques, and recall them accurately.
  • Perform fundamental operations fluently, including the four basic arithmetic operations, working with integers, fractions, decimals, percentages, and standard form.
  • Execute routine procedures correctly in number, algebra, geometry, trigonometry, and statistics, including substitution into formulae, algebraic manipulation, and using set notation.
  • Use a scientific calculator effectively and appropriately for calculations and checking results.

2. Reasoning and Communication (AO2)

  • Reason logically and make deductions using mathematical arguments and theorems (e.g., geometric properties, algebraic laws).
  • Communicate mathematically by presenting mathematical work, arguments, and reasoning clearly and logically using appropriate notation, terminology, and conventions.
  • Translate problems from written or practical contexts into mathematical terms.
  • Interpret and understand graphs and diagrams, and use them to draw conclusions (e.g., scatter diagrams, linear graphs, graphs of functions).

 3. Application and Problem-Solving (AO3)

  • Solve problems in both familiar and unfamiliar contexts by selecting and applying the appropriate mathematical knowledge and techniques.
  • Analyze given data and information to formulate a plan for solving complex problems across different areas of the syllabus (e.g., mensuration, speed-distance-time, probability).
  • Estimate and approximate answers to a reasonable degree of accuracy, and demonstrate an understanding of limits of accuracy.
  • Interpret and evaluate the results of a mathematical problem in the context of the real-life situation.
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