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iGCSE Math

Ringisai Campbell Math O Inglés 40 fichas

iGCSE Math

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  1. 1CircleArea= πr2
    Circumference= 2πr
  2. 2ProbilityPut in percentage, or fraction or decimal.
    P= the number of ways an event can occur/ the total number of possible outcomes
  3. 3Measurement Units100mm=1cm
    100cm=1M
    1000M=1km
    kilo-> 1000
  4. 4Persentagesconverting: 65%=0.65=16/25
    In/decrease: actual de(in)crease/orginal amount *100
  5. 5NumbersRational: is a number that can be written as a simple fraction
    Multiples: is the product of any quantity and an integer
    Fractors: numbers that you can multiply together to get another number
    Primes: can only be divided by 1 or itself.
    LCM: lowest common multiple
    HCF: highest common factor
  6. 6Factorising2x²-1x-6
    =(2x+3)(x-2)
  7. 7Triganometry (SOHCAHTOA)SOHCAHTOA
    Silly Old Hagrid Caught A Hippogriff Trotting Over Apples
    Sin=oposite/hypothenuse
    Cos= ajasent/hypothenuse
    tan= opposite/ajasent
  8. 8Trigonometry AreaIf we know the height we can use:
    A= 1/2×ab×sin(c
  9. 9AveragesMode: most common
    Median: the middle number when arranged in acceding order.
    Range: spread of data
    mean: all numbers divided by amount of numbers.
  10. 10Anglesacute= 0° to 90°
    obtuse=90° to 180°
    reflex=180° to 360°
    right angle=90°
    Angles
  11. 11Shears & StretchShears & Stretch
  12. 12Pie charts and Percentage.Percentage= frequency/total frequency ×100
  13. 13Probability treeProbability tree
  14. 14Box PlotsBox Plots
  15. 15Quadratic Equationsax ²+bx+c=0Quadratic Equations
  16. 16Shapes3 side- triangle-180°
    4-quadrilateral-360°
    5-pentagon-540°
    6-hexagon-720°
    7-heptagon-900°
    8-octagon-1080°
    9-nonagon-1260°
    10-decagon-1440°
  17. 17Pythagoras theruma²+b²=c²Pythagoras therum
  18. 18AreaArea
  19. 19Volumecube = a ³
    rectangular prism = a b c
    irregularprism = b×h
    cylinder = b h = pi r ² h
    pyramid = (1/3) b h
    cone = (1/3) b h = 1/3 pi r ² h
    sphere = (4/3) pi r ³
  20. 20Transforming CurvesIn general, if we start with y = f(x), then:-
    y = f(x) + a translates f(x) 'a' units in the y-direction (translation 0 over a)
  21. 21Quadratic sequencesIf you use the formula n2 + n to make a sequence, it means that:
    When n = 1 you get 12 + 1 = 2
    When n = 2 you get 22 + 2 = 6
    When n = 3 you get 32 + 3 = 12
    Quadratic sequences
  22. 22Circle thereomsCircle thereoms
  23. 23Trigonometry (flowchart)Trigonometry (flowchart)
  24. 24Sine and Cosine RulesThe sine rule: a/SinA= b/SinB= c/SinC
    or
    SinA/a= a/SinA= b/SinB
    The cosine rule: a ²=b ²+c ²-2bc×Cos(c
  25. 25Upper and lower boundUpper bound: the highest possible number when rounding
    Lower bound: the lowest possible number when rounding
    ie- 75 Upper= 75.499
    Lower= 54.5
  26. 26FractionsAdd:1/2 + 2/3 = 3/6 + 4/6 =7/6 = 1 1/6
    Subtract: 2/3 - 1/2 =4/6 -3/6= 1/6
    Multiply: 1/2 × 2/3 =2/6 =1/3
    Divide: 1/2 ÷ 2/3=1/2 × 3/2= 3/4
    Fractions of amounts: 2/5 of 100
    100 ÷ 5=20
    20×2= 40
  27. 27Multiplying MatrixMultiplying Matrix
  28. 282×2 MatrixStep 1 calculate ad-bc
    Step 2 Swap the positions of a and d, change the signs of b and c.
    Step 3 Multiply the new matrix by 1/determinant
    2×2 Matrix
  29. 29Adding MatricesAdding Matrices
  30. 30Subtracting MatricesSubtracting Matrices
  31. 31Sets and VendiagramsSets and Vendiagrams
  32. 32Rectanglearea= length x width
    perimeter=(length*2) + (length*2)
  33. 33Trianglearea= 1/2 * base * height
    perimeter= add up all sides
  34. 34Trapeziumarea= sum of parallel/2 *height
  35. 35Functionsf(x)=Functions
  36. 36SymetryLine of symmetry>
    Rotational symmetry (how many times do you have to turn it to be the same)
    Symetry
  37. 37AccuracyAccuracy
  38. 38The four rules (BODMAS)The four rules (BODMAS)
  39. 39Squares and Square-roots(−5) × (−5) = 25
    5 × 5 = 25
    6 × 6 = 36, so
    √36 = 6
    Squares and Square-roots
  40. 40—

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O Math Fichas sobre iGCSE Math, creado por Ringisai Campbell el 06/05/2015.
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