A Level Maths Aqa Study Guide Graded A+

Sin(90-θ)= {Ans: Cosθ}Area of a trapezium {Ans: 1/2(a+b)h}Estimate median or grouped data {Ans: Lab of class + class width x (position of median - number of frequencies before class)/Number of readings in class}Acceleration= {Ans: change in velocity/time}Calculating cos values {Ans: 360-1st value, then +/- 360}Converting from magnitude-direction form to component form (vectors) {Ans: rCosθi + rSinθj}P(B|A)= {Ans: P(AnB)/P(A)}Displacement dy/dx = {Ans: Velocity}Chain Rule {Ans: dy/dx= dy/du x du/dx E.g. y=(x+1)^2, Let u=x+1 so y=u^3, du/dx=1 And dy/du=3u^2 so dy/dx= 3u^2 x 1 = 3(x+1)^2}Sinθ/Cosθ= {Ans: Tanθ}P(AuB)= {Ans: P(A)+P(B)-P(AnB)}Weight = {Ans: Mass x g}Sector Area (radians) = {Ans: 1/2 r^2 θ}Census {Ans: Surveying every member of the population}Area of a triangle {Ans: 1/2 base x height}Stratified Sample {Ans: Taking a sample from each sub-section of the population so each group is represented in proportion}Cos^2A - Sin^2A = {Ans: Cos2A}Midpoint of a line {Ans: (X1+X2)/2 , (y1+y2)/2}∫f'(x)+g'(x) = {Ans: f(x)+g(x) +c}P(AnB) for independent events= {Ans: P(A)P(B)}