Revision NotesExam QuestionsFlashcardsPast Papers
IGCSEMathsCambridge (CIE)ExtendedFlashcardsNumberWorking with FDP

Working with FDP (Cambridge (CIE) IGCSE Maths)

Flashcards

1/16

0Still learning

Know0

Enjoying Flashcards?
Tell us what you think

Cards in this collection (16)

  • How do you convert from a percentage to a decimal?

    E.g. 45%

    To convert from a percentage to a decimal, divide by 100.

    E.g. 45 ÷ 100 = 0.45

  • How do you convert from a decimal to a percentage?

    E.g. 0.68

    To convert from a decimal to a percentage, multiply by 100.

    E.g. 0.68 × 100 = 68%

  • How do you convert from a terminating decimal to a fraction?

    E.g. 0.29

    To convert from a terminating decimal to a fraction, use place value.

    Whatever is the lowest place value (tenths, hundredths, thousandths, etc) is the denominator of the fraction.

    The numerator is just the digits of the decimal.

    E.g. 0.29, the lowest place value is the 9 in the hundredths place

    0.29 = 29 over 100

  • How do you convert from a percentage to a fraction?

    E.g. 57%

    To convert from a percentage to a fraction, write the percentage over 100 and simplify if required.

    E.g. 57% = 57 over 100

  • How do you convert from a fraction to a decimal?

    E.g. 3 over 8

    To convert from a fraction to a decimal, divide the numerator by the denominator.

    E.g. 3 ÷ 8 = 0.375

  • How do you convert from a fraction to a percentage?

    E.g. 2 over 5

    To convert from a fraction to a percentage, divide the numerator by the denominator and then multiply it by 100.

    E.g. 2 ÷ 5 = 0.4, 0.4 × 100 = 40%

  • True or False?

    The method for converting 0.3 with dot on top 2 with dot on top into a fraction involves multiplying it by 10 once and then subtracting the original decimal.

    False.

    The method for converting 0.3 with dot on top 2 with dot on top into a fraction involves multiplying it by 100 (not 10) and then subtracting the original decimal.

    stack attributes charalign center stackalign right end attributes row 100 x equals 32.32 end row row minus 10 x equals none 0.32 end row horizontal line row 99 x equals 32 none none none end row end stack space space x equals 32 over 99

  • x equals 0.4 5 with dot on top

    What is the next step to convert 0.4 5 with dot on top into a fraction?

    x equals 0.4 5 with dot on top

    The next step to convert 0.4 5 with dot on top into a fraction is to multiply both sides of the equation by 10 to get the recurring part by itself.

    10 x equals 4.5 with dot on top

  • table row x equals cell 0.8 with dot on top 7 with dot on top end cell row cell 100 x end cell equals cell 87.8 with dot on top 7 with dot on top end cell end table

    What is the next step to convert 0.8 with dot on top 7 with dot on top into a fraction?

    table row x equals cell 0.8 with dot on top 7 with dot on top end cell row cell 100 x end cell equals cell 87.8 with dot on top 7 with dot on top end cell end table

    The next step to convert 0.8 with dot on top 7 with dot on top into a fraction is to subtract the first equation from the second to cancel out the recurring parts.

    99 x equals 87

  • x equals 0.7 1 with dot on top

    Which two multiples of x do you need in order to convert 0.7 1 with dot on top into a fraction?

    x equals 0.7 1 with dot on top

    To convert 0.7 1 with dot on top into a fraction, you need the multiples 10 x equals 7.1 with dot on top and 100 x equals 71.1 with dot on top.

    The recurring value after the decimal place needs to be identical.

  • True or False?

    One method to order fractions is to write all the fractions with a common denominator.

    True.

    One method to order fractions is to write all the fractions with a common denominator so that you can compare the same type of fraction.

  • How do you put decimals in order of size?

    E.g. 0.6, 0.57, 0.624, 0.637

    To put decimals in order of size, use place value.

    Compare the digits in the tenths column, and then the hundredths column and so on,
    e.g. 0.6 > 0.57, because 6 is bigger than 5
    0.637 > 0.624, because the 6 is the same but 3 is bigger than 2

    You can also make each number have the same number of digits after the decimal points by including extra zeros where necessary.

    0.6 = 0.60 = 0.600 = ...

  • How do you put fractions, decimals and percentages in order of size?

    To put fractions, decimals and percentages in order of size, convert all of them into decimals and then order the decimals.

  • Which decimal is bigger 0.659 or 0.67?

    0.67 is bigger than 0.659.

    The number in the tenths column is the same.
    The number in the hundredths column is bigger in 0.67 than in 0.675.

    You can also write 0.67 as 0.670 to see this more easily.

  • True or False?

    4 over 29 is greater than 4 over 27 because the numerators are the same and it has the greater denominator.

    False.

    4 over 29 is not greater than 4 over 27.

    In the first fraction, 4 is divided by a greater number so the decimal will be smaller.

  • Which fraction is bigger, 17 over 40 or 21 over 40?

    21 over 40 is greater than 17 over 40 because the denominators are the same and the numerator is greater.

Previous:SurdsNext:Working with Ratios

    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