Showing posts with label Higher Mathematics. Show all posts
Showing posts with label Higher Mathematics. Show all posts

Mathematics Exam Resource Website: Former Education Secretary Comments

Your initiative (Mathematics Examination Resources website) is welcomed as an approach students can prepare themselves well ahead of examinations. Consequently, the issues and challenges are briefly discussed to deepened members of the public perceptions on the examination papers, examination, teaching and learning, school curriculum, memorisation and thinking strategies.

Readers' note: The comments are by/from the former PNG Education Department Secretary Dr Michael Tapo in response to the new initiative we spearheaded - making online resources for teachers and students. We thank Dr Tapo for reaching out and the comments below.
The math resource website is called Mathematics Examination Resources (MER). Here is why (The Reason) we create this Math resource website. Take a look and let us know what you think.

An in-depth article from Dr Tapo was published on PNG Insight parent website titled 'Thinking strategies Help Students Solve Problems' - read here.  

Immediate challenges in educational approaches

Central to all of the approaches taken, the century-long learning phenomenon of Thinking versus Memorising of facts in the late 1960s -1980s are worth revisiting. Approaches such as:

  • students were routinised memorising of facts, and
  • learn to remember and then display this at the Grade 6, Grade 8, and Grade 10 examinations. 
When they fail to understand the examination questions and cannot remember the facts they fail to meet the achievement level to high school or to the tertiary and university education.

Problem Solving and Thinking Strategies

School education examination in Papua New Guinea (PNG) since 1975 to 2020 and beyond is all about Knowledge Gathering and Remembering and is significant and very much dependent on the quantity of teaching, quality of teaching, and teacher quality.  

The problem has and continues to be so and is an urgent and acute problem associated very much to the Problem Solving or best described as Thinking.

Almost all high and secondary school education in Papua New Guinea failed to focus Problem Solving Strategies. And have limited teaching and learning strategies that address the scientific approach (of teaching thinking strategies) required to solve problems.  Hence, its an apparent strategy and definite means to knowing the facts from knowledge and skills taught and learned in primary, high and secondary examinations.

Importance of teaching the syllabus 

The amount of time spent in teaching and learning of mathematics, Science and Grammar is interconnected to the number of multiple practices each child assumes in class in these subjects are significant to avoiding and dependency on past and recent examination papers. 

The current culture of schooling and learning is dependent on schools and teachers must teach children more and make them work harder to increase their information on the level of knowledge and skills planned around the subject learning being learned.  

Foremost, the level of individual child intelligence and termly achievements in a subject learning area must be corrected with the facts (knowledge and skills acquisition). Students primarily learn best if they can remember these facts. 

Knowledge and skills being examined 

The ambiguity of language and phrases used in the past and more recent examination papers indicate the facts of knowledge and skills being examined can or could lead to confusion.

Some questions can mislead students selecting or choosing to answer a question in future examinations because of a similar question and answer from the past examination papers and likely answer that is expected in the 2020 or 2021 examination papers.

The quest for high and secondary examinations is placing more emphasis on the thinking strategies which leads children to creativity, problem solving, inquiry, critical approach of thinking in a subject learning area being learned. 

Expectations and clarity of examinations 

Papua New Guinea children in 21st Century must be encouraged and have a voice in determining what is taught in the National Curriculum, what is examined and the rules applied to assessing and measuring of facts in knowledge and skills in examinations.

Quality of teaching and teacher quality needs major shifts towards thinking strategies and say goodbye to the current heavily depended ideology of 'chalk-talk and certainty-principle’ which is central to there is a right and wrong answer to every question! 

Dr Michael F Tapo, EdD 

EXAM RESOURCE FOR GRADE 8, 10 and 12 STUDENTS | Download Old Exam Papers

We know times are hard. Schools have been struggling this year. That is why we made this website - PNG Maths Exam Resources (MER) Website.

Exam questions and Answers

PNG Insight created this website to give teachers and students the opportunity to access materials - especially revision materials  old exam papers for Mathematics Examinations - with ease. It is a community service as such the resources are made available for FREE.

The website is mobile friendly and interactive, which means you can take some tests online and get the scores and feedback at the end of the test. 

Features of PNG Insight's MER

 We had some great features to enhance math exam revision. Some of them include:

  • Old Exam Papers for Grades 8. 10 and 12 students to download
  • Online Practice Test Questions with Answers. Feedback is also provided at the end of each test.
  • Teachers Mathematics revision resources for use with students 
  • Education department Apps and Links to on-demand webpages
  • Maths Examinations Tips and Guides

Latest features of MER: Online Skill Practice Test and Answers

There are two latest additions to the MER website. First, the Basic Numeracy Skill Online Test/Assessment. It is basically a check-point of the functional ability (learnt skill) of students at upper primary and lower secondary schools - Grades 5 - 8. 

There are 50 multiple choice questions arranged by difficulty level from low to high. The test is split into 4 parts - each takes less than 5 minutes to do. See it here.
Online skill test revision

Latest features of MER: Free Download of Grade 10 Old Exam Questions & Answers (2010 - 2014 Math Exam Qtn Compilation)

 The second feature is the compilation of 2010 - 2014 Math Exam Questions by Unit. Free to download and use. Great for both teachers and students at Grade 10 

If your child, a sibling, friend or someone you know is in Grade 10 encourage them to check out the past exam papers and revision materials on the *new* website, MER
math exam questions and answers PDF

The resource booklet is 33 pages, but quick to download as the PDF was compressed to just 3.45 MB (from a 16.9 MB). 

It is watermarked to protect the originality of the document. If you want to remove the watermark and use it in class or for other educational purposes, please email us at

Visit the Grade 12 General math and Advanced math old exam papers pages here> GM/AM revision materials

Please do share the work or leave a comment. Enjoy!

ALGEBRA | Factorising and Solving Quadratic Equations: The Factoring Method or Quadratic Formula (Part I)

It is a pity to see many students shying away from enjoying maths. Students often find certain topics like Algebra challenging. I’d like to identify the difference between simple and complex quadratic equations and solve them as examples. The questions are real GCSE (UK/Edexcel) exam questions

To solve a quadratic equation (equation of the highest power of 2), one MUST first know how to factorise the equation.

Factorising and solving simple quadratic expressions (and equations) like x2 – 4 (difference of 2 squares) and x2 + 4x + 4 can be easy. But such this work, introduced in Grade 9 or 10, often paves way for harder questions in later years. So a proper understanding is vital.

Solving Simple Quadratic Equations

More on Solving Complex Quadratic Equations

Find out either to Factorise and solve or use Quadratic formula in Part (II)