Linear Graph/Equation (Quiz4/5 solution)

posted by Mr Johari

Quiz 4 (Solution)

Quiz 5 Solution


posted by Mr Johari

Please refer to Mathematics Department Googlesite for information on your Final Assessment.


1. Format

  • 2 Papers
  • Paper 1 – 60 minutes
  • Paper 2 – 1 hour 15 minutes
  • Calculator is allow for both papers
  • Students are required to bring along all necessary stationery including mathematical instrument sets
  • No borrowing of stationery is allow during the examination

2. Topics tested

  • Chapter 1 – Factors and Multiples
  • Chapter 2 – Real Numbers
  • Chapter 3 – Approximation and Estimation
  • Chapter 4 – Introduction to Algebra
  • Chapter 5 – Algebraic Manipulation (Include Expansion of Quadratic expression, Use of Algebraic rules in Expansion and Factorisation of Quadratic expression, Factorisation of Quadratic expression using Cross-Multiplication method)
  • Chapter 6 – Simple Equation in One Unknown
  • Chapter 7 – Angles and Parallel Lines
  • Chapter 8 – Triangles and Polygons
  • Chapter 9 – Ratio, Rate and Speed
  • Chapter 10 – Percentage
  • Chapter 11 – Number Pattern
  • Chapter 12 – Coordinates and Linear Graphs (Include calculation of Gradient using 2 coordinates point, Equation of a straight line )
  • Chapter 16 – Data Handling (Include Mean, Mode and Median)

GEometry 5 (Polygon)

posted by Mr Johari

Task 1: Complete the worksheet on Polygon given in class. Use the slides below as reference. You could also use the info from ACE Learning

Task 2: Attempt the Quiz questions from ACE Learning on Polygon (angles)

Understanding Properties of Different types of Polygons

Viva Voce - Christopher Nah

Dear Mr Johari and friends,
Sorry, I have been trying to upload for the past 3 hours or so. (The file exceeded limit)

Heres the completed video. Enjoy!

Thank you for viewing my video!

- Christopher Nah

Viva Voce-Karan Sarat(16)


Teoh Yun (08) VIVA Voce

Here is my video for my 3 questions. They are question 2, 8 and 11.

Viva Voce Jasper (13)

Category 1 , Qn 1
Category 2, Qn 8
Category 3, Qn 11



Done By: Yi Lin (07)

Carisa Chan Category 3 Question 14

Carisa Chan Category 2 Question 6

Sorry I meant Category 2 Question 6 instead of Category 2 Question 3.

Carisa Chan Category 1 Question 3

Viva Voce (Abilash)


Tay Pei Shan Category 1 question 1 Category 2 question 6 Category 3 question 14

This is my VIVA VOCE,
cat 1- Q1
Cat 2- Q6
cat 3 - Q14


Category 1: Question 1
Category 2: Question 8
Category 3: Question 11

Mathematics VIVA VOCE-Benz Kew

Category 1: Question 5
Category 2: Question 6
Category 3: Question 14

This is my video.


Benz Kew

Viva Voce Lincoln Chu Mesina (18)


Dear Mr Johari,
please inform me if the video can't be viewed properly.

Thank You!

-Lincoln Chu Mesina (18)

Darryl Lam Viva Voce

VIVA KJ Shakti



I have done

  1. Category 1 Question 5
  2. Category 2 Question 5
  3. Category 3 Question 4
Hope this will be helpful.

KJ Shakti

VIVA VOCE - Koh Su En S1-02 (02)

Dear Mr Johari,
This is my Viva Voce! Hope that it is up to standard. Thankyou! (:
Regards, Su En

Viva Voice - Idris

[Jurvis Tan] VIVA VOCE- Mathematics

Sorry if the video is laggy and stuff like that. It is compressed if not it will fly to the gigs which will give me trouble uploading :P.
Cat. 1 - Q1
Cat. 2 - Q2
Cat. 3 - Q1



posted by Mr Johari

Viva Voce
Linear Equation / Expression

You are required to complete a viva voce assessment. This is a reinforcement of familiar activity based on topics covered in class. This will also helped you with your revision process. You should not take more than 1 hour to complete the entire exercise.

The instruction, questions and assessment rubric can be downloaded from your class Maths googlesite under VIVA 2010.
Your task is to select any 3 questions, one from each category (1, 2 and 3) and record your explanation.
Your explanation must be concise, relevant and clear.
You may use any suitable multimedia platforms for this. Ensure that the file is not too large for uploading or posting.

Grading will be based on
Part 1: Problem Solving Skills and Strategies
Part 2: Concept and Mathematical Communication

Submission and Deadline
Please post your videos in your Class Maths Blogs ( ) using the header VIVA name category question eg. VIVAJohariCategory1Question1 by 10 October 2010

All the best - its the mathematical precision that we are looking for ...

Darryl Lam maths Task A

Jasper Phang [Task A]

Click the image to zoom in.

geometry 5 (review self practise)

Task B (KJ Shakti)

geometry 4 (summary)

posted by Mr Johari

Summary 1
Point, Ray, Line, Segment, Angles etc
Summary 2
Angles, Parallel Lines, Polygons

Application of Geometry (in the real world)

Geometry 3

posted by Mr Johari

Task 1
Find the definition of the following
(a) line bisector
(b) angle bisector

Task 2
Watch the following videos and learn how a line is bisected
Video 1

Video 2

Task 3
Complete the worksheet on CONSTRUCTION.

(a) TASK 1: To construct: an angle of 60°.

(b) TASK 2: To construct: the angle bisector of a given angle.

(c) TASK 3: To construct: A line through R perpendicular to PQ.

(d) TASK 4: To construct: A line through R parallel to PQ.

(e) TASK 5: To construct: A line 3 cm from PQ and parallel to PQ.

Goh Jia Sheng(12) Summary of Angles

Koh Su En (02) - Summary of Angles

Mindmap - Idris

Geometry-Angles (Jaime)

Task A (Abilash)

Angles-Tay Pei Shan

Teoh Yun 08 Task 2

The above is the screenshot of the mindmap i did about angles! ^o^

Lincoln's rough/basic mindmap

[14-Even No.] Jurvis Tan and my(?) angles.

Angles at a point, Interior Angles
Corresponding Angle, Complementary Angle, Supplementary Angle & Vertically Opposite Angles

Download the MindMap here

A Task - Carisa Chan

Geometry 1

posted by Mr Johari
the definition of points, segment, ray and plane
A. Task (odd numbered index only)
working independently and referring to the wall-wisher ACTIVITY 1 summarise the a) attributes & characteristics and b) the symbol/notation used for
1. point
2. lines
3. segment
4. ray
5. plane
use a Concept Map tool to summarise and submit to the blog.
the fundamental angle properties.
B. Task (even numbered index only)
working independently and using the wall-wisher ACTIVITY 2 review and summarise the following angle properties that was completed by your friends from other classes using a suitable concept map tool and post it to your class blog:
1. complementary angle
2. supplementary angle
3. angles at a point
4. vertically opposite angles
5. corresponding angles
6. internal angles
REVIEW: The following video shows the differences between a right, acute, obtuse and straight angle.

Geometry 0 (intro)

posted by Mr Johari
source: GCSEBitesize


An angle can be defined as two rays or two line segments having a common end point. The endpoint becomes known as thevertex. Anangle occurs when two rays meet or unite at the same endpoint.

1. How may degrees are there in one full turn?
2. Imagine you are facing North. You turn clockwise through 90 degrees. Which direction are you facing now?
3. Imagine the capital letter M. What letter does it look like when it's rotated 180 degrees?
4. An angle less than 90 degrees is known as ...
5. An angle between 90 degrees and 180 degrees is known as ...
6. If two of the angles inside a triangle are 90 degrees and 50 degrees, what is the third angle? What angle property/properties did you use in you reasoning?
7. Are the lines in the capital letter L parallel or perpendicular?
8. Will two parallel lines ever cross? Why?
Post your answers undercomment:

Linear Equations_ Jia Sheng

The steps are very simple.
First 100dollars minus 24dollars equals to 76dollars (Maximum no.of cd amount plus remainder)
Next 76dollars divided by 11dollars equals to 6 remainder 3dollars
$76/$11=6 R $3
Thus the maximum number of CDs is 6

Linear Inequalities by Abilash

DVD -> $24.99 ($25)
CD  -> $11.99  ($12)

$100 is the total amount of money . SO , we have to minus 25 from 100 .

$100 - $25 = $75
$75 / $12 = 6.3333 (6)

The most number of CDs I would be able to buy is 6 .

Linear Inequalities - Priyanka

$100 - $24.99 = $75.01
$75.01 / $11.99 = 6.25

The maximum number of CDs is 6.

Introduction to Linear Inequalities

change all the approximations to whole numbers, $24.99 to $25,and $11.99 to $12, so we take $100-$25,divided by 12,which gets about 6.

Linear Inequalities - Carisa Chan

Round up the prices of the DVD and CD.
DVD is $24.99 ≈ 25
CD is $11.99 ≈ 12

We take the total amount of money we have to minus off the cost of the DVD first.
$100 - $25 = $75

Then, take $75 divide by $12.
$75 / $12 = 6 R 3

Therefore, the most number of CDs I can buy is 6.

Linear Inequalities-Karan Sarat

Money you start off with=$100

As, we want to find the closest possible whole value, we have to round up.
$11.99≈ $12
$24.99≈ $25

As we cannot have a part of the CD, we have to get the whole rounded down.
$75/$12≈ 6

Thus 6 CDs are the maximum no. of CDs we can buy.

Linear Equalities (KJ Shakti)

11.99 ≈ 12
24.99 ≈ 25
Round up the cost of the DVD is higher so that you down under estimate the cost.
100 - 24 = 75
Minus off the value of the DVD so you know what is the remaining money that you can spend.
75 ÷ 12 = 6 R 3
6 being the most number of CDs you can buy.
So, hey presto! You get the answer to your question and can watch a movie marathon too.

Linear Inequalities Question-Jaime

Total amount>$100
1 DVD>$24.99≈$25
1 CD>$11.99≈$12

Ans:6 CDs

Linear Inequalities (Jurvis Tan)

Round down all the numbers with decimals to 24 and 11 just in case:

Then, take 100 minus 24 then divide by 11 then round down just in case:

Here you go! The least possible number of CDs you can buy is 9.

Linear Inequality (Introduction)

posted by Mr Johari

Introduction to Linear Inequalities

Suppose you have a gift card for $100 to an electronics store and want to spend it on CDs and DVDs. You want a special-edition DVD that costs $24.99, and the CDs you want are all on sale for $11.99 each. Assuming that you use only the gift card and you are going to buy the DVD, what is the maximum number of CDs you can buy?

You know you can buy at least one CD. What about two CDs? It can be time consuming to keep checking.

Post ways to solve this problem.

Post to

Algebra: Revision (Algebraic Fraction)

posted by Mr Johari


Solving Equa

Video 1: Solving Multi-Step Equations with Fractions

Video 2: Solving Equations with Fractions


Linear Graph (worksheet 12B)

posted by Mr Johari


linear Graph resource

posted by Mr Johari

reference of Linear Equation. (click here)
  • Focuses on
  • What is linear equation?
  • Plotting and Table of Values
  • Slope / Gradient of a Line
  • Slope and y-intercept (how to form a Linear Equation)

Linear Graph worksheet (Equation) solution

Linear Graph (Equation of a Line)
posted by Mr Johari

Worksheet focuses on the following concept:
  • gradient of line
  • intersection with both axes (i.e. x-intercept and y-intercept)
  • sketch of line

Linear Graph worksheet (Gradient) solution

Linear Graph (Gradient of a Line)
posted by Mr Johari

This worksheet focuses on the concept of gradient
Please refer to hard copy of the worksheet given to you earlier.

Level Test

Level Test term 3
posted by Mr Johari

Level Test
As mentioned at the beginning of the term, the Mathematics level test will be conducted in week 10.
Detail will be as follows:
Duration: 40 minutes

Topics tested:
  • Introduction to Algebra [chapter 4]
  • Algebraic Manipulation [chapter 5]
  • Simple Equations in one unknown [chapter 6]
  • Coordinates and Linear Graph (sketching of graph, concept of equation of line and gradient) - [chapter 12]

linear Graph part 2

Linear Graph (Chapter 12)
posted by Mr Johari

This is a supplementary note that focuses on plotting of a linear equation:
Part 2: Graphing Linear Equation (Exercise)
Complete the 2 exercises, state your answers as comments. Where possible justify your answers with simple working.

Question 1: focuses on the linear graph of the form y = mx + c

Question 2: focuses on the characteristics of the linear graph.
[Coordinate, gradient/slope, intercept, equation]

Linear Graph

Linear Graph (Chapter 12)
posted by Mr Johari

This is a supplementary note that focuses on plotting of a linear equation:
Part 1: Graphing Linear Equation
Method 1: Given linear equation, plot the graph.
Technique: Using plotting points and coordinates. (i.e. identify any points for x and find corresponding values of y for plotting)

Method 2: Given linear equation, plot the graph.
Technique: Using gradient and y-intercept
Form the general linear equation ie. y=mx+c, where m is the gradient and c is the y-intercept.

Exercise: (for self practice - answer provided)
Given a linear line, find the equation of the line.