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  • MATHS
    • expand/factorise linear: factorise
      • for an expression of the from a(b+c), expanded version is ab+ac
        • i.e mutiply the term outside the bracket by evereyting inside the bracket
      • for an expression of the form (a+b) (c+d) the expanded version is ac+ad+bc+bd
        • everything in the first bracket should be mulitplied by everything in the 2nd
      • factorising
        • reverse of expanding brackets
          • e,g, 2x2 +x-3 into the form (2x+3) (x-1)
        • first step is to 'take out' any common factors which the terms have
      • factorising quadratics
      • diffrence of two squares
        • if you are asked to factorize an expression  which is one square minus another yuo can factorise it immdiately becuase a2+b2= (a+b) (a-b)
    • factors and prime: product of prime factors
      • to find a product of a prime number do a prime factor tree and find the circled prime numbers and x them together
        • e.g 2x2x2x2x5
    • pythagoras therom
      • you are given the measurments for the hypotenus,c, and one leg,b , the hypotenus is always opposite the right angle and it is always the longest side of the triangle. to find the lenght of A substitute the known values into phythagoas therom
      • phythagoras therom: a2 +b2 =c2
    • venn diagrams: find intersection, union and not probability
      • A n B means the overlap in the middle
      • A U B means lookking at both circles
    • data graphs: frequency polygons
    • simultaneous equations: diffrent coefficients
      • some pairs of simulaneous equaions may not have any common coefficents
      • both equations may not have any common coefficients
      • getting the/some of the same numbers/letters in equations
        • e.g. 3a+2b=17 4a+b=30
          • mutiply by 2 as bx2=2b which is then a coefficient
    • polygons: exterior angle between identical polygons
      • if the side of a polygon is extended the angle fromed outisde the polygon is the exterior angle
      • the sum of exterior angle is 360
      • calculating the interior angles by working out how many traingles in shape
        • example: a pentagon contains 3 trainagles so the interior angle sum is 180 x 3= 540
    • bearings: use trigonometry to find bearing
      • use the cosine rule when: you need to find a side and you know 2 sides and he included angle
        • you need to find a angle and konw three sides
      • use the sine rule when: you need to find a side and know one side and hree angles
      • a bearing is the agle in degrees measured clockwise from north
      • 3 figures always
    • repeated percentages
      • percentage change = difference/original
    • rearranging fromula
      • in order to change the subject of a formula items in fomula need to be rearranged so diffrent variable is subject
        • the formula A=BH needs to be rearranged to make B subject of formula
          • to make B subject of formula it needs to be isolated, the letter B is multiplied by H so divide H (both sides) to isolate B
            • example: A=BH  A/H BH/H A/H=B

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