BC Calculus FRQ Problem Index

You should familiarize yourself with the recent main AP BC FRQ Problem Topics:

1)      Polar – 2014BC #2, 2013BC#2, 2011BC-FormB#2, 2009BC-FormB#4

2)      Parametric Particle Motion – 2016BC#2, 2015BC#2, 2013BC#2, 2012BC#2, 2011BC#1, 2010BC#3, 2010BC-FormB#2, 2009BC#3

3)      Euler’s Method (often with a Separable Differential Equation) – 2016BC#4, 2013BC#5, 2012BC#4, 2010BC#5, 2009BC#4…Euler’s Method is going to show up somewhere.  They give you zero or half credit if your notation isn’t perfect.

4)      Series – 2016BC#6, 2015BC#6, 2014BC#6, 2013BC#6, 2012BC#6, 2011BC#6, 2011BC-FormB#6, 2010BC#6, 2010BC-FormB#6, 2009BC#6, 2009BC-FormB#6

5)      Area and Volume + Arc Length - 2014BC#5, 2011BC#3, 2009BC-FormB#1

6)      Partial Fractions - 2015BC#5

You can easily access the listed problems using the College Board AP BC FRQ Website.

 

Reminder: 3-3.5 of your BC FRQ questions will actually be AB FRQ questions!

So you should also familiarize yourself with the recent main AP AB FRQ Problem Topics (bolded problems were on the AB AND the BC exam that year):

1)    Applications (especially Rate In/Rate Out) – 2016AB#12015AB#12014AB#1, 2013AB#1, 2010AB#1, 2010AB#3, 2009AB#2, 2009AB#3; FRQ Topic: Applications

2)    Particle Motion – 2016AB#2, 2015AB#32014AB#4, 2013AB#2, 2012AB#6, 2011AB#1, 2009AB#1; FRQ Topic: Motion Problems

3)    Table Problems (including an integral approximation and an estimate of a derivative) – 2015AB#32014AB#4, 2014AB#5, 2013AB#3, 2012AB#1, 2011AB#2, 2010AB#2, 2009AB#5; FRQ Topic: Table Problems

4)    Graph of f, f’, or f’’2016AB#3, 2015AB#5, 2014AB#3, 2013AB#4, 2012AB#3, 2011AB#4, 2010AB#5, 2009AB#6; FRQ Topic: Graph of f, f', or f'' Problems

5)    Area and Volume2016AB#5, 2015AB#2, 2014AB#2, 2013AB#5, 2012AB#2, 2011AB#3, 2010AB#4, 2009AB#4; FRQ Topic: Area & Volume Problems

6)    Differential Equation (separate those variables!) –2016AB#4, 2015AB#4, 2014AB#6, 2013AB#6, 2012AB#5, 2011AB#5, 2010AB#6; FRQ Topic: Differential Equations

7)    Piecewise Function – 2012AB#4, 2011AB#6, 2010AB#1, 2009AB#6; FRQ Topic: Piecewise Functions

8)    Implicit Differentiation - 2015AB#6, 2015AB#4(b), 2008ABFormB#6, 2007ABFormB#5(b), 2001AB#6(a), 2000AB#5, 1998AB#6

9)    The NEW (Nightmare) Graph Problem - Area and Volume - Hard Mode / Area and Volume - Hard Mode - Solutions - pages 3-4.

You can easily access the listed problems using the College Board AP AB FRQ Website.

 

Alternative FRQ Index:

College Board AP Calculus FRQ Index