Maths A-level OCR MEI (B) Questions with Verified Answers

Quadratic Formula - ANSWERSx = -b ± √(b² - 4ac)/2a Pythagorean Theorem - ANSWERSa²+b²=c² (a^x)(a^y) - ANSWERSa^(x + y) a^x / a^y - ANSWERSa^(x - y) (a^x)^y - ANSWERSa^xy x = a^n - ANSWERSn = logA(x) logAx + logAy - ANSWERSlogA(xy) kloga(x) - ANSWERSloga(x^k) straight line formula - ANSWERS(y - y1) = m(x-x1) perpendicular gradients are... - ANSWERSnegative reciprocals General term of AP - ANSWERSUn = a + (n-1)d General term of GP - ANSWERSUn = ar^n-1 Sine rule - ANSWERSa/sinA = b/sinB = c/sinC Cosine rule - ANSWERSa² = b² + c² - 2bcCosA Triangle Area - ANSWERS1/2 ab sinC Cos^2A + Sin^2A= - ANSWERS1 1+tan^2A= - ANSWERSsec^2A cosec^2A - ANSWERS1 + cot^2A sin2A= - ANSWERS2sinAcosA cos2A= - ANSWERScos^2A-sin^2A tan2A= - ANSWERS2tanA/1-tan^2A circumference - ANSWERS2πr Area of a circle - ANSWERSπr² Area of a trapezium - ANSWERS1/2 (a+b) h Volume of a prism - ANSWERSArea of cross section x length Arc length - ANSWERSradius x angle Sector Area - ANSWERS1/2 r^2 θ sin differentiates to - ANSWERScos cos differentiates to - ANSWERS-sin e^kx differentiated - ANSWERSke^kx lnx differentiates to... - ANSWERS1/x Chain Rule - ANSWERSdy/dx = dy/du * du/dx Product Rule - ANSWERSdy/dx = u(dv/dx) + v(du/dx) Quotient Rule - ANSWERSdy/dx = v(du/dx) - u(dv/dx) / v² sin integrates to... - ANSWERS-cos Cos integrates to... - ANSWERSsin e^kx integrates to - ANSWERS1/k e^kx 1/x integrates to - ANSWERSln |x| length of a vector - ANSWERSsqrt(x^2+y^2+z^2) Weight - ANSWERSmass x gravity Force - ANSWERSmass x acceleration Mean (average) - ANSWERS= (sum of values) / (# of values) arithmetic series - ANSWERSSn=n/2(a1+an) Geometric Series - ANSWERSSn=a1(1-r^n)/1-r Sum to infinity - ANSWERSS = a/(1-r) binomial expansion - ANSWERS1 + nx + n(n-1)x^2/n! + n(n-1)(n-2)x^3/n!.... tankx differentiates to - ANSWERSksec^2kx secx differentiates to - ANSWERSsecxtanx Cotx differentiates to - ANSWERS-cosec^2x cosecx differentiates to - ANSWERS-cosecxcotx Differentiation from first principles - ANSWERSf'(x) = lim h->0 f(x+h) - f(x)/h Integration by parts - ANSWERS∫ u dv = uv - ∫ v du sin(x) approximates to - ANSWERSx cos(x) approximates to - ANSWERS1 - 1/2(x)^2 tan(x) approximates to - ANSWERSx sin(a+-b) - ANSWERSsinacosb+-cosasinb cos(a+-b) - ANSWERScosAcosB-+sinAsinB tan(a+-b) - ANSWERStana+-tanb/1-+tanatanb P(AuB) - ANSWERSP(A)+P(B)-P(AnB) P(AnB) - ANSWERSP(A) x P(B|A) standard deviation formula - ANSWERSthe square root of the variance