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Year 12 Externals

General

The following is from the report written by the head marker of 2012 NCEA Mathematics Level 2

Candidates who persisted throughout the papers were well rewarded for their efforts.

The use of a Graphics Calculator was not essential but definitely assisted candidates in this assessment.

It is important that students show evidence (working) at all levels so that full or partial credit can be awarded, particularly when incorrect rounding has occurred or final answers have not been correctly presented for the context of the question.

Guess and check methods are not appropriate for demonstrating the required level of skills required.

The papers highlighted the need for students to be prepared in all areas of learning determined by the Achievement Standard as a lack of learning or understanding in one or more areas compromised the final result.

Candidates should write answers to a suitable degree of accuracy.

Lack of appropriate number and algebra skills often let candidates down. Candidates who were able to draw on mathematical skills at lower levels were at an advantage.
 

Algebra

Scope of the Algebra Standard        pdf file

This goes through the techniques required for the Algebra unit.


Algebra flip cards        pdf file

Flip cards, for memorising the key ideas and techniques.


Practice 1        Practice 2        Practice 3       pdf files

Practice 4        Practice 5        Practice 6       

Practice 7        Practice 8        Practice 9

Practice 10      Practice 11      Practice 12     

Each worksheet is one page of questions, plus one of worked answers. Each represents the Achieved and lower Merit of an exam. You should try to complete them in 40 minutes.
 

Excellence 1        Excellence 2        Excellence 3       pdf files

Excellence 4        Excellence 5        Excellence 6       

Some problems working on skills required for Excellence (although some of the questions are only hard Merit). See me if you need help with these.
 

Specific Skills

Basic Rules for Exponents

Exponents 1        Exponents 2        Exponents 3       pdf files

Some problems working on exponents at Achieved level, with a sheet of the basic rules you need to learn.

Basic Rules for Algebraic Fractions

Fractions 1        Fractions 2        Fractions 3       pdf files

Some problems working on fractions, mostly at Achieved level, with a sheet of the basic rules.
 

Calculus (Differentiation)

Scope of the Calculus Standard        pdf file

This explains the techniques required for the Calculus unit.


Practice 1        Practice 2        Practice 3       pdf files

Practice 4        Practice 5        Practice 6       

Practice 7        Practice 8        Practice 9       

Practice 10      Practice 11      Practice 12     

Each is one page of questions, plus one of worked answers. Each represents the Achieved and lower Merit of an exam. You should try to complete them in 40 minutes.


Excellence 1      Excellence 2      Excellence 3       pdf files

Harder questions, some of which are very hard.


Excel sheet        zip file

Achieved and basic Merit practice.
 

Probability

Practice 1        Practice 2        Practice 3       pdf files

Practice 4        Practice 5        Practice 6       

Revision 1       Revision 2       Revision 3       

Revision 4       Revision 5       Revision 6       

Each is one page of questions, plus one of worked answers. Each has three questions, in three parts to more or less Achieved, Merit and Excellence. You should try to complete them in 40 minutes.


Excel sheet        zip file

Achieved and Merit practice.


Practice 1        Practice 2        Practice 3        pdf files

Some questions focusing on risk, and in particular the concepts around relative risk.