Cambridge IGCSE Mathematics
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Questions and Answers

What is the primary aim of the Cambridge IGCSE Mathematics syllabus?

  • To limit the application of mathematical knowledge to academic settings only.
  • To ensure all students achieve a grade C or higher.
  • To develop a positive attitude towards mathematics and promote further learning. (correct)
  • To discourage enjoyment of mathematics.

Which of the following is NOT a listed content area in the Cambridge IGCSE Mathematics syllabus?

  • Geometry
  • Algebra and graphs
  • Calculus (correct)
  • Probability

A student excels in applying mathematical concepts to real-world scenarios and demonstrates logical reasoning. According to the syllabus aims, what else should they develop?

  • A disregard for the significance of results obtained.
  • Fluency to appreciate the connections between different areas of mathematics. (correct)
  • An inability to communicate mathematics clearly.
  • An aversion to further mathematical study.

The Cambridge IGCSE Mathematics syllabus is tiered. What is the purpose of this?

<p>To enable effective differentiation for learners targeting different grade ranges. (C)</p> Signup and view all the answers

A student is aiming for a grade B in Cambridge IGCSE Mathematics. Which subject content are they most likely to be studying?

<p>Extended content, which includes Core content. (B)</p> Signup and view all the answers

Which statement best describes the relationship between the Core and Extended content in the Cambridge IGCSE Mathematics syllabus?

<p>The Extended content builds upon and includes the Core content. (B)</p> Signup and view all the answers

A mathematician is trying to foster further learning. According to the syllabus, which of the following methodologies would be least conducive to achieving this aim?

<p>Discouraging a feel for number and the significance of the results obtained. (A)</p> Signup and view all the answers

Consider a student who consistently struggles with abstract mathematical concepts but excels in applying formulas to solve routine problems. Which modification to the standard teaching approach would LEAST align with the syllabus's stated aims?

<p>Emphasizing rote memorization of formulas without fostering a deeper understanding of the underlying principles. (A)</p> Signup and view all the answers

For which papers are candidates expected to have a scientific calculator?

<p>Paper 3 and Paper 4 (D)</p> Signup and view all the answers

A student aiming for a grade 'B' should ideally be entered for which papers?

<p>Paper 2 and Paper 4 (D)</p> Signup and view all the answers

What is the duration of Paper 1?

<p>1 hour 30 minutes (B)</p> Signup and view all the answers

Which statement is correct regarding the use of calculators?

<p>Calculators are allowed only in Paper 3 and Paper 4. (C)</p> Signup and view all the answers

A student is consistently making errors that suggest a misunderstanding of more advanced mathematical principles, and their predicted grade is a 'D'. Which papers should they be entered for?

<p>Paper 1 and Paper 3 (A)</p> Signup and view all the answers

What is the main purpose of tiering the papers (Core and Extended) in the Cambridge IGCSE Mathematics syllabus?

<p>To enable candidates of varying abilities to be appropriately assessed. (A)</p> Signup and view all the answers

A school has a group of students with mixed mathematical abilities. Some are grasping advanced concepts quickly, while others struggle with the basics. How should the teacher utilize the syllabus structure most effectively to cater to these diverse learning needs?

<p>Individually assess each student's capabilities and tailor lesson plans, drawing from both Core and Extended content as needed. Encourage extended content for all. (B)</p> Signup and view all the answers

Given that the Core assessment is designed for students expected to achieve grades C to G, and the Extended assessment for grades A* to E, what implicit assumption underlies the decision to prevent students taking the Core papers from accessing grades A and B?

<p>The Extended papers contain questions that specifically assess the higher-order thinking required for A/B grades, which cannot be adequately evaluated through Core papers. Students are pushed to aim higher. (C)</p> Signup and view all the answers

Which of the following numbers is both a square number and a cube number?

<p>64 (D)</p> Signup and view all the answers

What is a natural number?

<p>A positive integer (C)</p> Signup and view all the answers

Which of the following lists contains only prime numbers?

<p>2, 3, 5, 7 (C)</p> Signup and view all the answers

What is the reciprocal of $\frac{5}{8}$?

<p>$\frac{8}{5}$ (A)</p> Signup and view all the answers

A student is asked to list the first five multiples of 8 and the first five multiples of 12. What is the lowest common multiple (LCM) of 8 and 12 based on this information?

<p>24 (C)</p> Signup and view all the answers

Which of the following statements accurately describes the relationship between rational and irrational numbers?

<p>Rational numbers can be expressed as a ratio of two integers; irrational numbers cannot. (A)</p> Signup and view all the answers

Determine which of the following is equivalent to expressing 504 as a product of its prime factors.

<p>$2^3 \times 3^2 \times 7$ (A)</p> Signup and view all the answers

Consider two distinct positive integers, $a$ and $b$, where $a > b$. The highest common factor (HCF) of $a$ and $b$ is $x$, and the lowest common multiple (LCM) of $a$ and $b$ is $y$. If $a \times b = x \times y$, and $a + b = 49$ with $x = 7$, what are the values of $a$ and $b$?

<p>$a = 42, b = 7$ (C)</p> Signup and view all the answers

Flashcards

Natural Numbers

Positive whole numbers starting from 1. (1, 2, 3, ...)

Integers

Whole numbers including positive, negative, and zero. (...-2, -1, 0, 1, 2...)

Prime Numbers

A number that can only be divided evenly by 1 and itself.

Square Numbers

The result of multiplying a number by itself.

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Cube Numbers

The result of multiplying a number by itself twice.

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Common Factors

Numbers that divide exactly into two or more numbers.

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Common Multiples

Numbers that are multiples of two or more numbers.

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Rational number

A number that can be expressed as a fraction p/q where p and q are integers and q is not 0.

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Aims of IGCSE Mathematics

To foster a positive view, build confidence, and encourage exploration in mathematics.

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Feel for number

To gain intuition about numbers and interpret the meaning of mathematical results.

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Apply Mathematical Knowledge

Apply math skills to real-life situations.

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Problem Solving

Use creativity and resilience to break down and solve problems.

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Communicate Mathematics

Communicate mathematical ideas clearly and accurately.

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Logical Reasoning

Develop logical thinking, inference skills, and the ability to draw valid conclusions.

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Develop Fluency

To gain speed and agility while understanding mathematical concepts.

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Foundation for further study

Provides a foundation for advanced studies in mathematics and related fields.

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IGCSE Math Assessment

Two components; Paper 1 & 3 for Core, Paper 2 & 4 for Extended. Assesses IGCSE Mathematics.

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Core Assessment

Designed for students aiming for grades C to G. Assessed via Paper 1 and Paper 3.

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Extended Assessment

Designed for students aiming for grades A* to E. Assessed via Paper 2 and Paper 4.

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Paper 1 (Core)

1 hour 30 minutes, 80 marks. Structured and unstructured questions. No calculator allowed.

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Paper 3 (Core)

1 hour 30 minutes, 80 marks. Structured and unstructured questions. Scientific calculator is required.

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Calculator Usage

Students should be aware of when to use a calculator and when not to.

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Non-calculator Paper

Paper that does not allow calculators.

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Calculator Paper

Paper that requires students to use a scientific calculator.

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Study Notes

  • Exams for the Cambridge IGCSE Mathematics 0580 syllabus are available in 2025, 2026, and 2027.
  • Exam series are held in June, November, and March (India only).

Why Choose Cambridge International?

  • Cambridge IGCSE helps students develop curiosity and a passion for learning
  • The Cambridge Pathway offers a clear educational path from ages 5 to 19, helping students discover abilities and gain life skills
  • Cambridge IGCSE follows programmes that are academically rigorous and promotes progression to further learning
  • Cambridge IGCSE's mission involves educational advancement via international programmes
  • Cambridge IGCSE cultivates learners to be confident, responsible, reflective, innovative, and engaged, preparing them for modern success
  • Annually, nearly one million Cambridge students across 10,000 schools in 160 countries prepare for their future through the Cambridge Pathway.

Why Choose this Syllabus?

  • Cambridge IGCSE is a popular international qualification for 14 to 16 year olds that is tried, tested, and trusted across 70 subjects in over 4500 schools in 140+ countries.
  • Cambridge IGCSE balances thorough knowledge with skill development for education or employment
  • Cambridge IGCSE Mathematics helps students build competency, confidence, and fluency with mathematical techniques and understanding
  • Cambridge IGCSE aims to develop reasoning, problem-solving, and analytical skills in abstract and real contexts
  • Cambridge IGCSE Mathematics builds a strong base for advanced study and support skills in other subjects.
  • The course is tiered, allowing all candidates to achieve and progress.
  • Cambridge IGCSE encourages learners to be:
    • Confident in using mathematical language and techniques
    • Responsible by owning their learning and applying knowledge collaboratively
    • Reflective by connecting mathematics and evaluating methods
    • Innovative, applying knowledge to solve problems creatively
    • Engaged, curious about the beauty and applications of mathematics.
  • Cambridge IGCSE qualifications are internationally recognized for providing an international study pathway.

International Recognition

  • Achieving grades A* to C in Cambridge IGCSE Mathematics prepares learners for courses like Cambridge International AS & A Level Mathematics.
  • Cambridge IGCSEs are valued by universities and employers globally as proof of academic achievement.
  • Cambridge IGCSE meets university entry requirements via combinations of Cambridge International AS & A Levels or equivalents
  • Cambridge IGCSE is comparable to the UK GCSE, ensuring qualifications are accepted as equivalent by leading universities worldwide.

Support for Teachers

  • Cambridge provides resources, guidance, training, and professional development which are accessible via the School Support Hub.
  • The School Support Hub is an online site for Cambridge teachers, which helps keep you up-to-date with your subject matter and the global Cambridge community via online discussion forums.

Support for Cambridge IGCSE

  • Planning and preparation resources include schemes of work, specimen papers, syllabuses and teacher guides
  • Teaching and assessment resources include endorsed resources, online forums, and support coursework and speaking tests
  • Learning and revision resources include example candidate responses, past papers and mark schemes, and specimen paper answers
  • Results resources include candidate results service, principal examiner reports for teachers, and results analysis.
  • Sign up for email updates on syllabus changes and new resources at www.cambridgeinternational.org/syllabusupdates
  • Professional Development is provided through introductory, extension, and enrichment training online or in person and Cambridge Professional Development Qualifications, details at www.cambridgeinternational.org/events and www.cambridgeinternational.org/profdev.
  • Comprehensive support and guidance is available to exam officers, see www.cambridgeinternational.org/eoguide

Syllabus Overview: Aims

The syllabus aims to:

  • Encourage enjoyment, confidence and promote enquiry and further learning
  • Develop a feel for numbers and understand the significance of results
  • Apply mathematical skills to their lives and the world
  • Use creativity and resilience to solve problems.
  • Communicate mathematically
  • Develop logical reasoning and inference skills
  • Appreciate interdependence and connections between different areas of mathematics
  • Acquire a foundation for further study in mathematics and other subjects.

Syllabus Overview: Content

  • All candidates study Number, Algebra and graphs, Coordinate geometry, Geometry, Mensuration, Trigonometry, Transformations and vectors, Probability and Statistics.
  • The Core content targets grades C-G, while the Extended content includes core content with further enrichment.
  • Extended content is intended for learners targeting grades A*-C.
  • Content is organized by topic but not presented in a teaching order, allowing flexible and adaptive teaching
  • Learners apply listed techniques to solve problems with or without calculators.

Syllabus Overview: Assessment

  • Candidates take two components
  • Core candidates (expecting grade D or below) take Paper 1 and Paper 3, eligible for grades C to G.
  • Extended candidates (expecting grade C or above) take Paper 2 and Paper 4, eligible for grades A* to E.
  • Scientific calculators are required for Paper 3 and Paper 4, but not allowed for Paper 1 and Paper 2.

Core Assessment includes:

  • Paper 1: Non-calculator (Core), 1 hour 30 minutes, 80 marks, structured and unstructured questions, externally assessed
  • Paper 3: Calculator (Core), 1 hour 30 minutes, 80 marks, structured and unstructured questions, a scientific calculator is required, externally assessed

Extended Assessment Includes

  • Paper 2: Non-calculator (Extended), 2 hours, 100 marks, structured and unstructured questions, externally assessed
  • Paper 4: Calculator (Extended), 2 hours, 100 marks, structured and unstructured questions, a scientific calculator is required, externally assessed

Assessment objectives

  • AO1: Knowledge and understanding of mathematical techniques
    • Candidates recall and apply mathematical knowledge, carry out procedures, understand notation, perform calculations (with and without calculators), and present information
  • AO2: Analyse, interpret and communicate mathematically
    • Candidates analyse problems, make connections, recognize patterns, make logical inferences, communicate, and interpret information.
  • Weighting (Core): AO1 (60-70%), AO2 (30-40%)
  • Weighting (Extended): AO1 (40-50%), AO2 (50-60%)

Core Subject Content

  • Syllabus provides flexibility in designing a course appropriate to learners, with responsibility for selecting resources and examples
  • Learners should be able to fully develop skills both with and without calculators.
  • Formulas are provided in the examination papers.
  • Candidates study either core or extended subject content.

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Questions about the aims, content and assessment objectives of the Cambridge IGCSE Mathematics syllabus. Test your knowledge of the curriculum structure.

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