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GCSEMathsAQAHigherFlashcards3. Ratio, Proportion & Rates of ChangeDirect & Inverse Proportion

Direct & Inverse Proportion (AQA GCSE 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.

Previous:Problem Solving with RatiosNext:Standard & Compound Units

    1. Topic 1

      Number Operations

    2. Topic 2

      Prime Factors, HCF & LCM

    3. Topic 3

      Powers, Roots & Standard Form

    4. Topic 4

      Fractions

    5. Topic 5

      Percentages

    6. Topic 6

      Simple & Compound Interest, Growth & Decay

    7. Topic 7

      Fractions, Decimals & Percentages

    8. Topic 8

      Rounding, Estimation & Bounds

    9. Topic 9

      Surds

    10. Topic 10

      Using a Calculator

    1. Topic 1

      Introduction to Algebra

    2. Topic 2

      Algebraic Roots & Indices

    3. Topic 3

      Expanding Brackets

    4. Topic 4

      Factorising

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      Completing the Square

    6. Topic 6

      Algebraic Fractions

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      Rearranging Formulas

    8. Topic 8

      Algebraic Proof

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      Linear Equations

    10. Topic 10

      Quadratic Equations

    11. Topic 11

      Simultaneous Equations

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      Iteration

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      Forming & Solving Equations

    14. Topic 14

      Functions

    15. Topic 15

      Coordinate Geometry

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      Linear Graphs

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      Graphs of Functions

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      Equation of a Circle

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      Estimating Gradients & Areas under Graphs

    20. Topic 20

      Real-Life Graphs

    21. Topic 21

      Solving Inequalities

    22. Topic 22

      Graphing Inequalities

    23. Topic 23

      Transformations of Graphs

    24. Topic 24

      Sequences

    1. Topic 1

      Ratios

    2. Topic 2

      Problem Solving with Ratios

    3. Topic 3

      Direct & Inverse Proportion

    4. Topic 4

      Standard & Compound Units

    5. Topic 5

      Exchange Rates & Best Buys

    1. Topic 1

      Symmetry & Shapes

    2. Topic 2

      Angles in Polygons & Parallel Lines

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      Bearings, Scale Drawing, Constructions & Loci

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      Circle Theorems

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      Area & Perimeter

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      Circles, Arcs & Sectors

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      Volume & Surface Area

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      Congruence, Similarity & Geometrical Proof

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      Area & Volume of Similar Shapes

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      Pythagoras & Trigonometry

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      Sine, Cosine Rule & Area of Triangles

    12. Topic 12

      3D Pythagoras & Trigonometry

    13. Topic 13

      Vectors

    14. Topic 14

      Transformations

    1. Topic 1

      Introduction to Probability

    2. Topic 2

      Simple Probability Diagrams

    3. Topic 3

      Tree Diagrams

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      Combined & Conditional Probability

    1. Topic 1

      Averages, Ranges & Data

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      Statistical Diagrams

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      Histograms

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      Cumulative Frequency & Box Plots

    5. Topic 5

      Scatter Graphs & Correlation