Cambridge IGCSE Mathematics Syllabus Overview
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Questions and Answers

Which of the following types of triangles has all sides of equal length?

  • Equilateral (correct)
  • Isosceles
  • Right-angled
  • Scalene

    • A rhombus is a type of quadrilateral where all angles are equal.

    False

    Name a polygon that has five sides.

    Pentagon

    A _____ is a solid shape that has two parallel and two vertical faces.

    <p>prism</p> Signup and view all the answers

    Match the following quadrilaterals with their properties:

    <p>Square = All sides equal and all angles right Trapezium = At least one pair of parallel sides Rectangle = Opposite sides equal and all angles right Rhombus = All sides equal with opposite angles equal</p> Signup and view all the answers

    What symbol is used to represent inclusive inequalities?

    <p>⩽ or ⩾</p> Signup and view all the answers

    Closed circles are used to represent strict inequalities.

    <p>False</p> Signup and view all the answers

    What type of line represents strict inequalities when graphing linear inequalities?

    <p>broken line</p> Signup and view all the answers

    An inequality such as 3x < 2x + 4 can be categorized as a __________ inequality.

    <p>linear</p> Signup and view all the answers

    Match the following symbols with their meanings:

    <p>⩽ = less than or equal to</p> <blockquote> <p>= greater than () = strict inequality ⩾ = greater than or equal to</p> </blockquote> Signup and view all the answers

    What is the range of values for bearings?

    <p>0° to 360°</p> Signup and view all the answers

    The sum of angles at a point is equal to 180°.

    <p>False</p> Signup and view all the answers

    What is the simplest form of the ratio 20 : 30 : 40?

    <p>2 : 3 : 4</p> Signup and view all the answers

    What must be used for all straight edges in scale drawings?

    <p>a ruler</p> Signup and view all the answers

    Rounding a number to the nearest thousand involves reducing the number of significant figures.

    <p>True</p> Signup and view all the answers

    If a length is measured to the nearest metre, what is the upper bound for a measurement of 5 metres?

    <p>5.5 metres</p> Signup and view all the answers

    The bearing of point B from point A is 025°, so the bearing of point A from point B is _____°.

    <p>205</p> Signup and view all the answers

    Which geometrical term refers to a shape being the same in form but different in size?

    <p>Similarity</p> Signup and view all the answers

    The process of estimating by rounding numbers to significant figures is called __________.

    <p>estimation</p> Signup and view all the answers

    Match the geometrical shapes with their properties:

    <p>Triangle = Sum of angles equals 180° Quadrilateral = Sum of angles equals 360° Circle = 360 degrees rotation Polygon = Closed planar figure with straight sides</p> Signup and view all the answers

    Match the following terms with their definitions:

    <p>Ratio = A comparison of two quantities Proportion = An equation stating two ratios are equal Upper bound = The maximum limit of a rounded value Lower bound = The minimum limit of a rounded value</p> Signup and view all the answers

    Line symmetry means that a shape can be divided into two identical halves.

    <p>True</p> Signup and view all the answers

    When rounding 5764 to the nearest thousand, what is the result?

    <p>6000</p> Signup and view all the answers

    Candidates are expected to find the bounds of results from calculations that used data rounded to a specified accuracy.

    <p>False</p> Signup and view all the answers

    What is the maximum measurement in degrees for a bearing?

    <p>360</p> Signup and view all the answers

    To divide a quantity in a given ratio of 2 : 3, the total parts to consider is __________.

    <p>5</p> Signup and view all the answers

    Which of the following represents the correct ordering of the numbers 0.5, 0.7, and 0.3?

    <p>0.3 &lt; 0.5 &lt; 0.7</p> Signup and view all the answers

    The expression $7^{-2}$ is equal to $ rac{1}{49}$.

    <p>True</p> Signup and view all the answers

    What is the value of $3^4$?

    <p>81</p> Signup and view all the answers

    In standard form, the number 5000 can be written as _____.

    <p>5 × 10^3</p> Signup and view all the answers

    Match the following numbers with their equivalent fractions:

    <p>0.5 = 1/2 0.25 = 1/4 0.75 = 3/4 0.1 = 1/10</p> Signup and view all the answers

    Which operation would you use first in the expression $2 + 3 imes 4$?

    <p>Multiplication</p> Signup and view all the answers

    A negative exponent represents a number that is greater than 1.

    <p>False</p> Signup and view all the answers

    Convert the decimal 0.03 into a fraction.

    <p>3/100</p> Signup and view all the answers

    What is the product of two consecutive even numbers expressed as?

    <p>n(n + 2)</p> Signup and view all the answers

    The equation $3x + 4 = 10$ can be solved to find $x = 2$.

    <p>True</p> Signup and view all the answers

    What is the quadratic formula used to solve quadratic equations?

    <p>x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}</p> Signup and view all the answers

    The expression $5 - 2x = 3(x + 7)$ can be simplified to find $x$ by first _____ both sides.

    <p>expanding</p> Signup and view all the answers

    Match the following equations with their solution processes:

    <p>3x + 4 = 10 = Isolate x by subtracting 4 and dividing by 3 5 - 2x = 3(x + 7) = Expand and rearrange to isolate x 2 + \frac{3}{x + 2} = 1 = Multiply by (x + 2) to eliminate the fraction x^2 - 5x + 6 = 0 = Factorize to find x values</p> Signup and view all the answers

    Which method can be used to solve a quadratic equation?

    <p>Completing the square</p> Signup and view all the answers

    Simultaneous linear equations can only involve two variables.

    <p>False</p> Signup and view all the answers

    What is the first step in changing the subject of a formula where the subject appears twice?

    <p>Isolate one of the instances of the subject.</p> Signup and view all the answers

    Study Notes

    Syllabus Overview

    • This syllabus is for the Cambridge IGCSE™ Mathematics 0580 exam, available in 2025, 2026, and 2027.
    • Exams are offered in the June and November series.
    • A March exam series is also available in India.

    Key Benefits of the Cambridge IGCSE Mathematics Syllabus

    • The syllabus is internationally recognized, trusted, and popular for 14-16-year-olds (can be taken by other ages).
    • Students have access to 70 subject choices.
    • It's taught in over 4500 schools across 140 countries.
    • The syllabus focuses on foundational knowledge and essential skills for further education.

    Aims of the Syllabus

    • To develop a positive attitude towards mathematics to encourage enjoyment and further learning.
    • To develop a feel for number and emphasize the meaning of results.
    • To apply mathematical knowledge and skills to real-world contexts.
    • To use creativity and resilience to address and resolve problems logically.
    • To communicate mathematical ideas clearly.
    • To cultivate the ability to deduce reasoning and form conclusions.
    • To build fluency in connections between different areas of mathematics, demonstrating interdependence.
    • To foster a foundation for future study in mathematics and other fields.

    Content Overview

    • All candidates cover essential topics like Number, Algebra and Graphs, Coordinate Geometry, Geometry, Trigonometry, Transformations and Vectors, Probability, and Statistics.
    • The tiered syllabus caters to different student needs.
    • The Core content is designed for grades C-G.
    • The Extended content is for grades A* to C, encompassing the Core material and additional topics.
    • Content is not presented in a specific teaching order, allowing flexibility.
    • Students are expected to apply mathematical techniques with and without a calculator.

    Assessment Overview

    • Candidates take two papers.
    • Paper 1 and Paper 3 are for Core candidates (grades C–G).
    • Paper 2 and Paper 4 are for Extended candidates (grades A* to E).
    • Paper 1 and Paper 2 (Non-Calculator): 80/100 marks respectively; 1 hour 30 minutes for Paper 1, 2 hours for Paper 2
    • Paper 3 & Paper 4 (Calculator): 80/100 marks respectively; 1 hour 30 minutes for Paper 3, 2 hours for Paper 4
    • Scientific calculators are permitted for Paper 3 and 4, not allowed for Papers 1 and 2.
    • Full, detailed working is necessary in all papers.

    Assessment Objectives

    • AO1: Knowledge and understanding of mathematical techniques (60-70% for Core, 40-50% for Extended)
    • AO2: Analyze, interpret and communicate mathematically (30-40% for Core, 50-60% for Extended).

    Support for Teachers

    • Detailed resources, guidance, training, and professional development are available through Cambridge's support services to effectively prepare students.
    • Various materials are available such as schemes of work, specimen papers, syllabus, and teacher guides, etc.

    Important Information

    • The latest syllabus is version 3, published in May 2024.
    • Relevant changes to the syllabus, for 2025, 2026, and 2027 are detailed from page 68.

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    Cambridge IGCSE Mathematics 0580 PDF Syllabus 2025-2027

    Description

    Explore the Cambridge IGCSE Mathematics 0580 syllabus for the upcoming exam years 2025, 2026, and 2027. This quiz provides insights into the aims, key benefits, and overall structure of the syllabus, focusing on the foundational knowledge and skills necessary for further education. Ideal for students aged 14-16, it encourages a positive attitude towards mathematics and real-world application.

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