Showing posts with label Past Paper analysis. Show all posts
Showing posts with label Past Paper analysis. Show all posts

Tuesday, 13 October 2015

Focus on Locus 1: First Things

Focus on Locus 1: The First Things

Locus is one of the most crucial questions of Math Exam and contributes more than 6% (12 marks) to the final exam score. Candidates ought to take the topic seriously and carefully attempt the question.

There are few major concepts that must be mastered on the topic

1. Learn to construct a 60, 90, and 120 degree angles

These are most common requirements of exam questions. They form the basics of loci and other angles are build upon these angles.
Candidates should be able to construct these angles using compasses and rulers only. Accuracy and visibility of arcs, labels and lines guarantee a higher score.

2. Learn to bisect a line and an angle.
Bisecting an angle means to divide the angle into two equal angles. Bisection gives two or more small, equal angles. It's an important concepts in finding equi-distance between two lines, for instance,finding an equidistance between AB and BC.
Line bisection is finding the midpoint of a line and it's the basic concept of constructing perpendicular lines (90 degrees). This is the equidistance between two points for instance, an equidistance between A and B.

Bisection of an angle helps much in constructing odd angles like 135, 150, 105 and 150.
A 135 angle can be constructed using 90 angle concept and then another bisected 90 angle (45 degree angle). An angle can bisected further into 4, 6 or more equal parts.

Friday, 25 September 2015

Maths Examination Structure Analysis

Understanding  an Exam structure for any subject is essential in studies and designing an Exam strategy. Candidates ought to be aware of what is expected by the Exam, it's weaknesses and strengths, and how best anyone can score higher marks in every paper.

Exam reports, past papers with answers and textbooks help much in preparing candidates for the Exam. However  it doesn't reveal the major challenge and bias of the exam structure. 

In this blog, I will analyse the Exam Structure of Mathematics, Zimsec syllabus. This analysis will complement Exam reports, Past Paper Revisions and Tutorials. It's premised upon the major strengths of the Exam, topic value, study tips and analysis of the best strategy that should have been adopted by the candidates to score high in the Exam.

The syllabus
Available in booklets and downloadable as PDF, the zimsec syllabus specifies the topics, concepts, and skills that are tested in the final Exam. It's divided into 11 major sections which are 

1. Numbers
2. Sets
3. Consumer Arithmetic 
4. Measures and Mensuration 
5. Graphs and Variation
6. Algebraic Concepts and Techniques
7. Geometric Concepts and Techniques
8. Trigonometry
9. Vectors and Matrices
10. Transformations 
11. Statistics and Probability 

An Ordinary level course should be completed in five school terms, which is less than 2 years. On average, 2 sections and 20% of another section of the syllabus is expected to be full covered. It's advisable to study Mathematics along a syllabus for guidance. 

The Exam Structure 


The piechart above shows the weight of each paper/section as specified in the Syllabus. 
The first paper contributes 50 percent of the total exam Mark. It carries upto 30 questions worth 100 marks and tests almost the whole syllabus. There are no options for the paper and every candidate is expected to attempt all the questions without the use of calculators or tables. 

The second paper is divided into two sections, Section A which is 64% of the paper and has 6 compulsory questions. Section B has 6 questions which carries equal marks and candidates are expected to opt for 3 questions only. This section carries 36% of the paper. 

In total, the second paper contributes 50% to the final Exam Mark, which means Section A contributes 32%, and Section B 18% to the Exam Mark.

Case study: November 2014 paper 1 & 2 

We are going to analyse the structure of November Session 2014 (Not the replacement) Exam. We have chosen the original paper since it was the Zimsec's first choice and reflects the best standards for the Exam. 
The two papers will reveal to us the distribution of topics from the syllabus in 2014 examination, Mark allocation for each topic and the major strengths of the Exam. 

The following sections were tested and Mark allocation for each topic are shown in the table

Table 1: TOTAL QUESTIONS FOR EACH SYLLABUS SECTION
 
The above table shows the total questions for each syllabus sections. The section with highest number of questions for the November 2014 Mathematics Exam was Numbers/Consumer arithmetic, followed by Algebraic Concepts and Techniques and then Geometrical Concepts and Techniques. Many questions were in Paper 1 and the Section which appeared in many questions in Paper 2 was Measurement and Mensuration.
This shows that there are Sections which are the backbone of Paper 1 and others are reserved for Paper 2. Algebra and General Arithmetic appear to be the major topics for the Maths Exam. They contribute significantly to the Exam.

Table 2: TOTAL MARKS FOR EACH SYLLABUS SECTION


The table shows the total marks allocated for each section of the syllabus in the November 2014 Exam. We see that the sections which had many questions also carried more marks for the total exam score. 
Algebra and General Arithmetic weighed more than 40% (combined) of the total exam Mark. Other valuable topics for this Exam were Geometric Concepts and Techniques, Measures and Mensuration and Statistics and Probability.
You can also see that Geometric concept Mark allocation were balanced in both papers and Measurement and Mensuration weighed more in Paper 2.


The graph above reveals that Sets were the least topic in the Exam and those who put much effort in algebra, Numbers and Geometrical concepts were guaranteed of a pass in this Exam...

Recommendations 
We can draw many lessons from the structure of the Exam and mark allocation for each syllabus section.
1. Algebra, Numbers and Geometrical concepts were the major part of the Exam
2. Measures and Mensuration, Transformations and Statistics and Probability are mainly paper 2 questions
3. Paper 1 is the most important since it contributes more to the Exam
4. Section A contributes significantly more than Section B to the total Exam Score
5. Time management for Both papers is essential.

For an in-depth analysis of the Exam, study tips and more recommendations please download a PDF document in the downloads section on this blog.