Links to posts about good questions; or at least some that I like. Some are from past AP Calculus exams other from elsewhere.
My Favorite Function A pre-calculus question on finding roots and why calculators can’t do this one.
At Just the Right Time – an easy question preparing for finding the tangent line to a graph.
Good Question 2008 AB 6 Extreme values, limits. L’Hospital’s Rule
Good Question – 3 1995 BC 5 Using a graphing calculator to investigate a family of functions.
Good Question – 4 2008 AB multiple-choice #10 Riemann sums
Good Question – 5 1998 AB2/BC2 The correct use of infinity and DNE; solving a calculus question without calculus.
Good Question – 6 2000 AB 4
Good Question – 7 2009 AB 3 The Mighty Cable Company
Good Question – 8 or not On units of an integral
Good Question – 9 Related Rates
Good Question – 10 – The Cone Problem
Good Question – 11 Riemann Reversed
Good Question – 12 Parts with a Constant?
Good Question – 13 Same integral, four ways to handle it.
Good Question -14 The Integral Test
Good Question – 15 2018 BC 2(a) Units
Lin McMullin’s Theorem A sighting of the Golden Ratio in the points of inflection of any quartic polynomial.
More Gold another sighting of the Gold Ratio in cubic polynomials by David Tschappat
Variations on a Theme by ETS. 2008 AB 9 adapting an extreme value question.
The Marble and the Vase Extreme Values