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Year 12 Internals

Sequences and Series

Practice 1        Practice 2               pdf files

Some practice exercises, mixing Achieved, Merit and Excellence.
 

Trigonometry

Practice 1        Practice 2        Practice 3

Practice 4        Practice 5        Practice 6        pdf files

Some practice exercises. The first three are mostly Achieved, with a page of worked answers, and the second three are Merit and Excellence, with two pages of worked answers.
 

Simultaneous Equations

Scope of the Topic        pdf file

Notes on the techniques required for solving simultaneous equations, and in particular non-linear simultaneous equations of lines intersecting circles, hyperbolas and parabolas.


Practice 1        Practice 2        Practice 3

Practice 4        Practice 5        Practice 6        pdf files

Some practice exercises at each grade level. One page, plus a page of worked answers.


Download Mahobe Booklet from the MathsCentre site.

A booklet written for this topic. Many of the exercises in this are in context, which is useful practice because the assessment itself will be. Also useful is that the answers are worked out in full.
 

Co-ordinate Geometry

This topic is the geometry of straight lines.


Excel sheet        zip file

Allows you to practice the core basic skills.


Achieved 1        Achieved 2        Achieved 3

Achieved 4        Achieved 5        Achieved 6        pdf files

Each is one page of questions, plus one of worked answers. Each represents the Achieved and sometimes lower Merit skills.

Merit+ 1        Merit+ 2        Merit+ 3

Merit+ 4        Merit+ 5        Merit+ 6        pdf files

Each is one page of questions, plus one of worked answers. Each starts at the normal run of Merit and moves into the Excellence range.


Trial 1 is a bit short, being intended to give an overall feel of what an assessment might look like.

Trial 2 is for practice organising your work in a coherent way when there are a lot of points.

Trial 3 has a very hard Excellence part.
 

Make an Inference using Statistical Methods

Scope of the Topic        pdf file

Notes on the terminology and skills required. You should start learning this material early in the unit. Trying to cram it all in just towards the end is unlikely to be successful, as there is too much.


Checklist        Marking Schedule        pdf files

A guide to help ensure you do not miss any part of any analysis and a marking schedule, of the sort that your teacher might use, to indicate what each grade level requires.


Practice 1        Practice 2        Practice 3        pdf files

Some data sets to work with.
 

Graphical Methods

(non-linear graphs)

Booklet      pdf file
 
A booklet covering all of what we will be doing in class, including the exercises and answers.
 
Graphing on the Graphical Calculator       pdf file

Students should be comfortable with graphing all the relevant graphs, as this allows them to check their answers very quickly.
 
Excel sheet        zip file

Allows you to practice the basic skills, especially writing equations.


Practice 1        Practice 2        Practice 3        pdf files

These are old-fashioned questions, but as St John's doesn't examine this topic they are for anyone else who might like them. These worksheets completely exclude trig graphs (sine, cosine, tangent).


Practice Paper #1 with Answers and Marking Schedule       pdf files

Practice Paper #2 with Answers and Marking Schedule

An indication of the way the questions will be posed in a context, rather than given as isolated examples. For best results students need to understand that they must explain all their steps, and actively suggest alternatives, rather than just write bare answers.

Networks

Scope of the Topic        pdf file

Notes on the techniques required for solving networks to Achieved at Level 2.


Practice 1        Practice 2        Practice 3        pdf files

Some worksheets at Achieved and Merit. One page, plus a page of worked answers.