FM Core Pure 2
These are sheets that I use in class to structure our way through the content. Questions numbered with roman numerals are designed to be warm-up / retrieval practice of relevant skills. Questions labelled with an asterisk are typically extension material (eg from STEP) or simply optional. Note for example that mean value and improper integrals are only presented as review as our students cover these topics at the end of year 12. (These are very much works in progress during the summer holidays!)
Hyperbolic functions
Integration techniques
Differential equations
Complex numbers
Below are packs of questions collated from the legacy specifications. They also include some extension questions from STEP papers.
1. Complex Numbers
Past exam questions from legacy spec papers
2.1 Method of Differences
Past exam questions from legacy spec papers
2.2 Maclaurin Series
Past exam questions from legacy spec papers
3. Methods in Calculus, &
4. Volumes of Revolution
Mixed questions on integration techniques - these are not very demanding
5. Polar Coordinates
Past exam questions from legacy spec papers
6.1 Hyperbolic functions
Basics of equations and identities
6.2 Inverse hyperbolic functions
6.3 Hyperbolic functions
Past exam questions from legacy spec papers
7 First order DEs
Past exam questions from legacy spec papers, and a few STEP for extra challenge
DEs in Mechanics
from OCR M3 papers