A few worksheets we've made.Print-ready worksheets you can download and inspect. Every question comes with a worked solution.A-Math1.Find the stationary points of y = x³-6x² and determine the nature of each. [7]2.Find the range of values of x for which f(x) = x³-12x+4 is decreasing. [5]3.Given y = x(2x+3)^2, find dy/dx and evaluate it at x = 2. [5]A-MathDifferentiationMediumDifferentiation: Stationary Points, Rates & Tangents3 questions · worked solutions includedE-Math1.A bag contains 7 red, 6 blue and 1 green balls. A ball is drawn at random. Find the probability of drawing a green ball. [2]2.A bag contains 3 red balls and 3 blue balls. Two balls are drawn at random without replacement. Find the probability that both balls are blue. [2]3.The 5 values 5, p, 6, 5, 12 have a mean of 9. Find the value of p. [3]E-MathStatistics & ProbabilityMediumStatistics & Probability3 questions · worked solutions includedH2 Math1.The lines l₁ and l₂ have vector equations r = (-3, -1, 3) + λ(1, 2, -2) and r = (2, 2, 4) + μ(0, -2, -2) respectively, where λ and μ are real parameters. Determine whether l₁ and l₂ intersect, are parallel or are skew; if they intersect, find the coordinates of the point of intersection. [3]2.The planes π₁ and π₂ have normal vectors (2, -2, 1) and (-2, -2, -1) respectively. Find the acute angle between π₁ and π₂. [2]3.The plane π is given by r · (-1, 2, -2) = -5. The point P has coordinates (-3, 2, -2). By first determining the foot of perpendicular F from P to π, (a) find the position vector of F, [3] and (b) find the position vector of the reflection P' of P in π. [1]H2 MathVectorsMediumVectors3 questions · worked solutions included