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Proportion (Cambridge (CIE) IGCSE Maths)

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  • FrontDirect Proportion

    What is direct proportion?

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  • What is direct proportion?

    Direct proportion means that as one variable goes up the other goes up by the same factor.

  • True or False?

    If x and y are directly proportional, then bold italic x bold colon bold italic y will always be the same.

    True.

    If x and y are directly proportional, then bold italic x bold colon bold italic y will always be the same.

  • What is k used to represent when working with direct proportion?

    When working with direct proportion, k is used to represent the constant of proportionality that connects x and y.

    y equals k x when x and y are directly proportional.

  • What does it mean for y to be directly proportional to the square of x?

    If y is directly proportional to the square of x, it means that y equals k x squared.

  • True or False?

    The graph of two directly proportional variables is a straight line.

    True.

    The graph of two directly proportional variables is a straight line.

    A graph with labelled x and y axes and a red line running diagonally from the bottom left to the top right, intersecting the y-axis at (0,0).

  • True or false?

    When solving a direct proportion problem, one of the first things you should do is find the value of the constant of proportionality k.

    True.

    When solving a direct proportion problem, one of the first things you should do is find the value of the constant of proportionality k.

  • What is inverse proportion?

    Inverse proportion means as one variable goes up the other goes down by the same factor.

  • What is k used to represent when working with inverse proportion?

    When working with inverse proportion, k is used to represent the constant of proportionality that connects x and y.

    y equals k over x when x and y are inversely proportional.

  • True or False?

    If x is inversely proportional to y, then bold italic x bold colon bold italic y will always be the same.

    False.

    If x is inversely proportional to y, then bold italic x bold colon bold 1 over bold italic y will always be the same.

  • How would you describe the relationship between Aand B if A equals k over B?

    If A equals k over B, it means that A is inversely proportional to B.

  • What is the equation for A in terms of B if A is inversely proportional to the square of B?

    If A is inversely proportional to the square of B, then A equals k over B squared.

  • True or False?

    The graph of two inversely proportional variables is a straight line.

    False.

    The graph of two inversely proportional variables is a not a straight line.

    Graph of y = k/x with asymptotes along the x and y axes.

  • What is the formula for y in terms of x if y is inversely proportional to the cube root of x?

    If y is inversely proportional to the cube root of x, then y equals fraction numerator k over denominator cube root of x end fraction.

    Using laws of indices that can also be written as y equals k over x to the power of 1 third end exponent or y equals k x to the power of negative 1 third end exponent.

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    1. Topic 1

      Number Toolkit

    2. Topic 2

      Set Notation & Venn Diagrams

    3. Topic 3

      Prime Factors, HCF & LCM

    4. Topic 4

      Powers, Roots & Standard Form

    5. Topic 5

      Fractions Toolkit

    6. Topic 6

      Percentages Toolkit

    7. Topic 7

      Simple & Compound Interest, Growth & Decay

    8. Topic 8

      Surds

    9. Topic 9

      Working with FDP

    10. Topic 10

      Working with Ratios

    11. Topic 11

      Compound Measures (Speed, Density, Pressure)

    12. Topic 12

      Time, Currency & Conversions

    13. Topic 13

      Rounding, Estimation & Bounds

    14. Topic 14

      Using a Calculator

    1. Topic 1

      Algebra Toolkit

    2. Topic 2

      Algebraic Roots & Indices

    3. Topic 3

      Expanding & Factorising Brackets

    4. Topic 4

      Linear Equations & Inequalities

    5. Topic 5

      Quadratic Equations

    6. Topic 6

      Rearranging Formulas

    7. Topic 7

      Simultaneous Equations

    8. Topic 8

      Algebraic Fractions

    9. Topic 9

      Forming & Solving Equations

    10. Topic 10

      Functions

    11. Topic 11

      Sequences

    12. Topic 12

      Proportion

    1. Topic 1

      Coordinate Geometry

    2. Topic 2

      Linear Graphs

    3. Topic 3

      Quadratic Graphs

    4. Topic 4

      Further Graphs & Tangents

    5. Topic 5

      Solving & Graphing Inequalities

    6. Topic 6

      Real-Life Graphs

    7. Topic 7

      Differentiation

    1. Topic 1

      Geometry Toolkit

    2. Topic 2

      Angles in Polygons & Parallel Lines

    3. Topic 3

      Bearings, Constructions & Scale Drawings

    4. Topic 4

      Circle Theorems

    1. Topic 1

      Area & Perimeter

    2. Topic 2

      Circles, Arcs & Sectors

    3. Topic 3

      Volume & Surface Area

    4. Topic 4

      Congruence & Similarity

    1. Topic 1

      Right-Angled Triangles (Pythagoras & Trigonometry)

    2. Topic 2

      Sine, Cosine Rule & Area of Triangles

    3. Topic 3

      3D Pythagoras & Trigonometry

    4. Topic 4

      Trigonometric Graphs & Equations

    1. Topic 1

      Vectors

    2. Topic 2

      Transformations

    1. Topic 1

      Basic Probability

    2. Topic 2

      Probability Diagrams (Tree & Venn Diagrams)

    3. Topic 3

      Conditional Probability

    1. Topic 1

      Averages & Range

    2. Topic 2

      Statistical Diagrams

    3. Topic 3

      Histograms

    4. Topic 4

      Cumulative Frequency

    5. Topic 5

      Scatter Graphs & Correlation