AQA GCSE Mathematics Equations

Equations:

The quadratic formula: The solutions of ax2+bx+c=0 , where a≠0 x= ( -b±√(b2-4ac) ) / 2a Circumference and area of a circle: Where r is the radius and d is the diameter: Circumference of a circle = 2πr = πd Area of a circle = πr2 Pythagoras' theorem: In any right-angled triangle where a , b and c are lengths of the sides and c is the hypotenuse: a2+b2=c2 Trigonometry formulae: In any right-angled triangle ABC, where a , b and c are lengths of the sides and c, is the hypotenuse: sinA = a/c , cosA = b/c , tanA = a/b In any triangle ABC where a , b and c are lengths of the sides: sine rule: a/sinA = b/sinB = c/sinC cosine rule: a2=b2+c2-2bc cosA Area = 0.5xaxbxsinC Perimeter, area, surface area and volume formulae: Where a and b are the lengths of the parallel sides and h is their perpendicular separation: Area of a trapezium = 0.5(a+b)h Volume of a prism = area of cross-section x length Compound interest: Where P is the principal amount, r is the interest rate over a given period and n is number of times that the interest is compounded: Total accrued = P(1+r/100)^n Probability: Where P(A) is the probability of outcome A and P(B) is the probability of outcome B : P(A or B)=P(A)+P(B)-P(A and B) P(A and B)=P(A given B)P(B) Not needed to be memorised, they will be given in the exam Perimeter, area, surface area and volume formulae: Where r is the radius of the sphere or cone, l is the slant height of a cone and h is the perpendicular height of a cone: Curved surface area of a cone = πrl Surface area of a sphere = 4πr2 Volume of a sphere = 4/3xπxr3 Volume of a cone = 1/3xπxr2xh Kinematics formulae: Where a is constant acceleration, u is initial velocity, v is final velocity, s is displacement from the position when t=0 and t is time taken: v = u+at s = ut+1/2xaxt v2 = u2+2as