Mathematics Mindmap Paper 2

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  • Created on: 01-04-17 09:12
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  • Mathematics Paper 2
    • Probability (P)
      • Number of times event can happen / Total number of possible outcomes
      • Usually given as a fraction, but can be decimal or %
      • The chance an event may happen
      • Outcome: the result of an event happening
      • Probability Scale: Probability ranges from impossible (0) to certain (1)
      • The higher the probability of something, the more likely it is
      • Key Terms
        • Impossible
        • Unlikely
        • Even
        • Likely
        • Certain
      • Tree Diagrams
      • Experimental Probability
        • Probability for experiment results
          • Recorded as RELATIVE FREQUENCY
            • RELATIVE FREQUENCY Number of times this outcome occurs / Number of times you tried
    • Substitution
      • Putting numbers in place of letters  to calculate the value of an expression
      • BODMAS
        • Brackets, Order, Divide, Multiply, Add, Subtract
      • BIDMAS
        • Brackets, Indices, Divide, Multiply, Add, Subtract
    • Perimeter (P)
      • The distance all around the edges of a 2D shape
      • Found by adding all the sides of the shape together
      • Measured in cm, m, km
    • Area (A)
      • Total surface of a shape
      • Measured in units²
      • Of a circle
        • = Pi r²
      • Of a rectangle
        • = l x w
    • Angles in Triangles
      • Add up to 180°
      • Corresponding angles
        • Make an F shape that can be upside down or back to front
        • Are equal
      • Alternate angles
        • Are equal
        • Make a Z shape that can be back to front
      • Vertically opposite angles
        • Are equal
        • Make an X shape
      • Base angles in Isoceles are equal
      • All angles in an equilateral triangle are equal
    • Volume of Cuboids
      • l x w x h
      • Measured in cm/m/km³
    • Percentage Increase
      • To increase the amount: Multiply by (1 + % as decimal)
      • To find percentage increase: Subtract the two figures away from each other, then divide your answer by the original amount and multiply by 100
    • Reading and Interpreting Graphs and Charts
      • Straight line shows stationary
      • The steeper he gradient the faster the speed
      • Pictogram: uses pictures to represent the number of items
      • Bar Chart: uses vertical or horizontal bars of equal width to represent items; frequency given by the length of a bar
      • Pie Chart: uses angles in a circular chart to represent values in proportion
      • Scatter Graph: compares two sets of data. Relationship is called correlation
        • Positive correlation - upwards slope
        • Negative correlation - downwards slope
      • Stem and leaf diagram: uses stem with leaves to display data and shoe distribution
    • Index Laws
      • Multiplying = Add powers
      • Dividing = Subtract powers
      • Brackets = Multiply powers
      • Anything to Power 0 = 1
      • A negative power gives a reciprocal
      • If no power is given, assume it is 1
      • A fractional power gives a root

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