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!)

Booklet_01___Hyperbolic_functions.pdf

Hyperbolic functions

Booklet_02___Integration_review___Volume.pdf

Integration techniques

Booklet_03___First_order_DEs.pdf

Differential equations

Complex numbers

Below are packs of questions collated from the legacy specifications. They also include some extension questions from STEP papers.

Complex numbers - exam qs.pdf

1. Complex Numbers

Past exam questions from legacy spec papers

Method of differences - exam qs.pdf

2.1 Method of Differences

Past exam questions from legacy spec papers

Maclaurin - exam qs.pdf

2.2 Maclaurin Series

Past exam questions from legacy spec papers

Uses of integration.pdf

3. Methods in Calculus, &

4. Volumes of Revolution

Mixed questions on integration techniques - these are not very demanding

Polar coordinates - exam qs.pdf

5. Polar Coordinates

Past exam questions from legacy spec papers

Hyperbolic functions - basics.pdf

6.1 Hyperbolic functions

Basics of equations and identities

Inverse hyperbolic functions.pdf

6.2 Inverse hyperbolic functions


Hyprbolic functions - exam qs.pdf

6.3 Hyperbolic functions

Past exam questions from legacy spec papers

First Order DEs.pdf

7 First order DEs

Past exam questions from legacy spec papers, and a few STEP for extra challenge

DEs in Mechanics context - OCR M3.pdf

DEs in Mechanics

from OCR M3 papers

DEs in Mechanics context - mark schemes.pdf

Mark Schemes