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

SBC Syllabus and Teachers Guide pdf

 Teachers, parents and students can now download SBC Syllabus and Teachers Guide Pdf for all the subjects at the education department's website. 

PNG Insight has a dedicated maths resource website where you can download the resources you need for teaching mathematics. See links to the website below.

SBC syllabus and teachers guide PNG


Maths resources and SBC Syllabus and Teachers Guide Pdf

PNG Insight has all the SBC syllabus and teachers' guide as well as the OLD syllabus and teachers' guide. 

Access the resources via the links.

Maths Syllabus and Guides

Mathematics resources for teachers are a useful collection of teaching materials for Primary (Grades 7 & 8) and Secondary School (Grades 9, 10, 11 and 12) Mathematics teachers in Papua New Guinea. 

Whether you are a new graduate teacher or a seasoned mathematics teacher, you’ll find some of the most often used resources here.

Standard Based Curriculum (SBC)

The new SBC is in the implementation stage in the earlier schooling years. The implementation is in phases and will cover the secondary years. We believe the school syllabus and teachers' guides for Grades 3 – 8 are complete. And the Grades 9 – 12 SBC syllabus is a work-in-progress.


What you can get at the Maths resources website?


 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.
  • Study Guides for Grades 8, 10 and 12
  • Outline of Exam Units and Topics You should know
  • Teachers' Mathematics revision resources for use with students 
  • Education department Apps and Links to on-demand webpages
  • Maths Examinations Tips and Guides
We are adding to this resource base, check out the home page for the new resources.

2021 VCCA Study Design Further Maths 1 and 2 Specifications

Victoria Curriculum and Assessment Authoritys’ (VCCA) Mathematics Study Design 2016–2022 is an ideal document to read.  It gives details to development of exams and focusses on ‘Further Mathematics Units 3 and 4’).

 Study Design Further Maths

2020 Further Maths Exam 1 solutions

VCCA Study Design Further Maths Exam 1 & 2 Specifications

Here is what VCCA said about this important document:

“Mathematics Study Design 2016–2022 is for the development of the examination. All outcomes in ‘Further Mathematics Units 3 and 4’ will be examined.
All content from the areas of study, and the key knowledge and skills that underpin the outcomes in Units 3 and 4, are examinable.

  • Further Maths Exam 1 will cover both Areas of study 1 and 2. The examination is designed to assess students’ knowledge of mathematical concepts, models and techniques, and their ability to reason, interpret and apply this knowledge in a range of contexts.
  • VCCA Further Maths Exam 2 will cover both Areas of study 1 and 2. The examination is designed to assess students’ ability to select and apply mathematical facts, concepts, models and techniques to solve extended application problems in a range of contexts.” (VCCA Further Maths Exam Specification, PDF)
More information on this year's VCCA exams 1 and 2 is available via the link, including where to get the 2020 Further Maths Exam 1 solutions.

Further Maths Exam 1 Solutions

The link to the 2020 Further Maths Exam 1 solutions, including the 2016 VCCA maths Paper 1 solutions, is given below, you will find the solutions helpful as you revise for the 2021 exams. 

These are complete solutions that you can download onto your device now, do the questions and check the answer. Take a look.

  • 2020 Further Maths Exam 1 Solutions PDF
  • 2016 Further Maths Exam Solutions PDF


HOW TO DOWNLOAD THE PAST EXAM PAPERS (VIDEO GUIDE)

How to download the past mathematics exam papers using the password provided. There are two categories of Grade 8 Maths Exam Past Papers:

1) Past (OLD) Papers (2009 - 2014)

2) Latest (2015 - recent Maths Exam Papers)


1) How to download OLD PAPERS

On the information page of the Mathematics Resources website

i) Click on the link to download

ii) Check your Gmail Account

iii) Access the OLD PAPER in your Gmail Account

Video Instruction 

2) How to download RECENT (LATEST) PAPERS

At the download page of Mathematics Resources website,

i) Copy the PASSWORD

ii) Click download

iii) Enter this password in the download 'popup window'

iv) Click download

v) Wait for the math paper to download

vi) Check your Gmail Account

Video Instruction 

PNG Insight YouTube channel aims to showcase Papua New Guinea in a positive light. Our channel's videos are original travel videos, educational and inspiring!

5 GCSE Maths Revision Tips You Should Know to Pass

The General Certificate of Secondary Education (GCSE) mathematics examinations in the UK is challenging. 

You’ll find the links to the GCSE maths past papers and tests to help you prepare for your GCSE tests. we also suggest some sources where you can get the past paper at the end of this article.

GCSE maths exam papers - how to revise and pass maths test

Stationery items you will need for exams are available here: GCSE maths stationery items

How to revise and pass GCSE maths exam?

There is no secret to passing the GCSE maths test. It's about applying what you learn in primary and secondary schools. But often, students forget the maths facts and processes they learn in class. So, how can you pass your GCSE? Revise! 

 We want you to ace your exams with better grades. Check out the 5 practical tips for revising and passing your GCSE maths exams. And of course, pnginsightmathsexamresources.com provides the resources that are free.

Download the Exam and test papers PDF

5 tips to improve your GCSE maths exam grades

  • Tips 1 and 2 are ways for gathering revision materials.
  • Tip 3 provide an overview of what to do when revising.
  • Tips 4 and 5 are the fundamental things you must do in the exam room.

Check out the GCSE Exam Dates and Timetable1. 

1. Revise Year 7 – Year 10 test papers

Never throw your maths test papers away. Aside from other revision materials, the test papers have the best revision questions. The reason is simple. The end-of-the-term tests in Year 7, Year 8, Year 9 and Year 10 are topic assessments. Thus, they’ll give you a complete overview of what the GCSE maths exams are testing. These test papers are the best revision. Keep them and use them.

2. Revise GCSE past paper questions

Maths skills, knowledge and applications are cross-cutting. They remain the same even though the maths assessment questions differ. By this I mean, an exam item can be written in different ways every time. 

But the idea that the item tests always remains the same. For example, a past paper question will ask you to find the perimeter of a regular rectangular shape. Next, you may be asked to find the perimeter of an irregular shape.

In both instances, you still use the idea of the total length around a shape. For this reason, revising GCSE part exam papers is important if you want to improve your marks.

And, revising past papers is the second-best way to if you want to know how to pass GCSE maths exams.

3. Practice makes perfect

When you have the past test papers and exam papers plus other revision resources, it’s time to revise. Know what you need to revise for – prioritise! 

Identify the maths that you are weak in. For example, take a look at the past tests papers and identify the hard questions. 

Target those questions and revise them head-on. Here are some difficult areas of maths that many you may want to revisit.
  • Review your 6s, 7s, 8s times table.
  • Practice questions on perimeter, area, and volume.
  • Review questions on Angles and bearings where you are asked to make deductive reasoning and draw.
  • Do algebra questions on solving equations, rearranging formulas, expanding brackets, factorising, etc.
  • Attempt questions with 3, 4 or 5 marks that require complete working out.
  • Make sure you can use your calculator efficiently.
Check out the exam revision materials here: past TEST papers and past EXAM papers

Year 8 maths test papers - UK, Australia and US 8th Grade 

4. GCSE maths exam stationery items you’ll need

This is a no brainer. You must have the exam supplies before going into the exam room. Your exam supplies will depend on whether you are doing Foundation or Higher GCSE. So, ask your maths teacher what you will need for the test. 

Some supplies like rough papers and rulers are often provided. You will not be allowed to take them into the exam room. Here are some GCSE maths stationery items you should have: A black pen, pencil, rubber, pencil sharpener, scientific calculator, ruler, protractor & compass.

5. Read the instructions carefully

The instruction will set the pace for the exam. Read it carefully. Here is sample instruction and what you should know as you read it.
  • Answer ALL the questions. That means that you should answer as many questions as you can to get full marks.
  • Write your answers in the spaces provided on the question paper.
  • You are not allowed to use any other paper.
Ensure that you know the answers to these five questions, as you read through the instruction:
  • Have you got the correct paper?
  • How long do you have to do it?
  • Are all the numbered pages there?
  • How many questions are in the exam?
  • What are the total marks for the GCSE maths exam

Conclusion (Pass GCSE maths exams)

Practising how to revise and pass GCSE maths exams is all you need to do to do well. 5 ways to revise and examiners expectations you should know to do well. These are proven ways to pass your maths exams.

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 Maths 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.

We know revising for exam is important because it helps to stop anxiety and stress. We created a Maths website where you can download Grade 8, Grade 10 and Grade 12 General Maths and Advanced Maths Exam Papers. GET THEM HERE.

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
SEE LINK IN THE ARTICLE

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 info@pnginsight.com

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!

Factorising and Solving Quadratic Equations - GCSE Basic Algebra Questions

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

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. 

See the illustrations below on how to solve quadratic equations. You can relate these examples to the questions your teachers set for you.

Solving Simple Quadratic Equations

solve GCSE algebra questions - quadratic equations

Factoring Method or Quadratic Formula (Part I)

The factoring method is introduced early in Year 7 and covered extensively in the later years at secondary schools.

More on Solving Complex Quadratic Equations

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

Download GCSE Maths past papers

You can download the past GCSE exam papers online. Here are some websites that many students prefer to use.

  • Maths Genie
  • Maths Watch
  • Dr Frost maths
  • Cobette Maths
  • GCSE maths in four weeks
Stationery items you will need for exams are available at Ryman: GCSE maths stationery items

How to Solve Problems involving Fractional Powers

Fractional powers appear past GCSE maths papers. To get the questions right, you must know how to use the Index Law, Surds and rules for solving the algebraic problems. 

This may sound overwhelming, but it is not that hard. See the illustrations (x3 questions) below.

How to Solve Fractional Powers Using Index Laws & Surds

If you need more illustrations like these, check out the free maths resources here.

Let’s have a look at 3 Higher Maths Exam Questions

how to solve fractional powers in algebra wjec maths gcse

Top tip:
All you need to do is to pull apart the powers and simplify them.


Download GCSE Maths past papers

You can download the past GCSE exam papers online. Here are some websites that many students prefer to use.

  • Maths Genie
  • Maths Watch
  • Dr Frost maths
  • Cobette Maths
  • GCSE maths in four weeks

Stationery items you will need for exams are available here: GCSE maths stationery items

Show your working out clearly and logically. Where there are 3 or more marks, do not only write the answer.