WORKSHOP ON THE WORKSHOP ON THE TECHNIQUES OF TECHNIQUES OF

ANSWERING ANSWERING MATHEMATICS UPSRMATHEMATICS UPSR

QUESTIONSQUESTIONSPN. FAZURA BT MOHD NOORPN. FAZURA BT MOHD NOOR

SK St.John(2) SK St.John(2)

Kuala LumpurKuala Lumpur

TOPICS FOR MATHEMATICS UPSRTOPICS FOR MATHEMATICS UPSR

1.1. Numbers and OperationsNumbers and Operations - - AddAddSubtractSubtractMultiplyMultiplyDivideDivide

2.2. FractionsFractionsDecimalsDecimalsPercentagePercentage

3.3. Mixed OperationMixed Operation4.4. AverageAverage4.4. MoneyMoney5.5. Shape and SpaceShape and Space6.6. MeasurementMeasurement -- TimeTime

LengthLengthMassMassVolume of Volume of

liquid liquid

7.7. GraphGraph

NUMBERS AND OPERATIONS

Basic skills in Mathematics.

Pay careful attention to place value and digit value.

Skills on rounding off numbers are important.

Skills on addition and multiplication

Skills on subtraction and division will be tested in your UPSR

MT 015/2 - Basic Skills

MT 015/1 - Solving Problems

(applications skills and critical thinking skills)

FRACTIONS, DECIMALS AND PERCENTAGE

These topics are related with one another.

Concept is less than one

⅜ of the questions asked are related to the topics above.

Fractions - on denominators

Decimals - decimal points

Percentage - X 100 %

Usually asked on problem solving questions

fractions multiply a whole number

Look for key words in the questions and understand what is asked for.

Practice on completing fractions and understand vocabulary related to the topics.

MIXED OPERATIONS AND AVERAGE

Has its own principles and formulas.

Mixed Operation - BO DM AS

For MT 015/2, you must show your workings clearly and make sure you are confident with your workings. Do not

show 2 methods and expect the teacher to choose for you.

Average -

Questions on Average for MT 015/1 are usually on how to find the total when the average is given.

For finding the total :

a. Multiply average with number of quantities.

b. add all the number of quantities given.

c. product (a.) take away with the total (b.)

d. if asked for 2 equal amount- divide by 2

PurataJumlah

Bilangan Bilangan

Jumlah

Purata

Jumlah Purata Bilangan

MONEYValue for RM and sen.

write sen in RM vice - versa.

Operation involving conversion of value.

Problem solving involving:

1. Tables

2. Incomplete bills

3. Income and Spending

4. Percentage, fractions

5. Average

6. Mixed Operations

7. Cost Price and Selling Price – Profit and Loss

Bare in mind that questions on problem solving on Money also involves combination of other topics and skills.

SHAPE AND SPACEMust have sides or boundaries

Shapes like rectangles, squares, triangles, circles and others.

Combination of shapes and solids

Know the characteristics of shapes and solids

Recognize the sides of the shape or solids

Use the formulas for finding:

1. perimeter - adding all outer sides

2. Area of - length x width/breadth

Area of - base x height ÷ 2

3. Volume - length x width x height

Questions on Problem Solving on this topic will also include fraction, percentage and money.

Important: you must also know how to find the sides.

MEASUREMENT

TOPICSTOPICS

TIMETIME

LENGTHLENGTH

WEIGHT/MASSWEIGHT/MASS

VOLUME OF VOLUME OF LIQUIDSLIQUIDS

Read the toolsRead the tools

Analyze the toolsAnalyze the tools

Conversion of unitsConversion of units

24 hours system24 hours system

Fractions on timeFractions on time

durationduration

OperationOperation

Problem SolvingProblem Solving

Difficult question Difficult question that carries 3 marksthat carries 3 marks

GRAPHS

Interpret data

Analyze data

Read data

Construct from data

Questions on graph will be asked in MT 015/1

TYPES OF QUESTIONS IN

MT 015/1

Mechanical Questions

Questions on Diagrams, Bills and Tables

Questions on situations/ Problem Solving

Questions on number lines:

Whole Numbers

Decimals

Fractions

Questions on graph

STRATEGY IN SOLVING PROBLEMS

UNDERSTAND

PLAN

SOLVE

CHECK

STEPSREAD THE QUESTION

WHAT IS GIVEN

WHAT IS ASKED FOR

HOW TO SOLVE IT

SOLVE IT

CHECK IT

COMMUNICATION IN MATHEMATICS

Types of communication - language

- information from diagrams

- understanding from symbols and formula

Key words

example : After a discount of 30%, the total selling price of 4 similar T-shirts is RM 140.

What is the cost price of a T-shirt?

A RM42 C RM98

B RM50 D RM200

Understand what the question is asking?

Convert it to mathematical sentence/number sentence.

HOW TO MANAGE INFORMATION

Information from questions, diagrams and tables.

Show or jot down information

CCTS information from questions given.

Self Interaction:

What is the meaning?

Any similarities.

What does it signify?

Any other connection with other things in the question.

Example:

Diagram 12

Diagram 12 shows a cuboid with a volume of

300 . A cube of sides 4 cm is cut from the cuboid. What is the volume, in cm³, of the portion

that is left?

A 236

B 252

C 284

D 296

4 cm

cm3

1. Previous knowledge:

2. Reading:

Key words:

What is given?

What is asked for?

3.How to manage information given?

Seen Hidden

4.How to solve the problem?

5. Checking

TYPES OF QUESTIONS IN MATHEMATICS PAPER 2, 015/2

QUESTIONS ON BASIC OPERATIONS

QUESTIONS ON DIAGRAMS / TABLES

QUESTIONS ON SIMPLE SITUATIONS

1 mark

Marks given only for correct answer.

TOPICS

Whole numbers

Basic operations

Fractions

Decimals

Time

Shape

2 marks

Marks given to workings and

correct answer.

TOPICS

Mixed Operations

Average

Fractions

Decimals

Money

Shape and Space

Time

Percentage

3 marks

Division of marks:

1 mark

•reading of tools

•conversion of units/new values

1 mark

• correct operation used

1 mark

•Correct answer

TOPICS

Measurements

Shape and Space

Money

Percentage

Technique Of Answering Mathematics Paper 2 Technique Of Answering Mathematics Paper 2 Questions (015/2)Questions (015/2)

1.1. Technique of constructing and copying Technique of constructing and copying tablestables

If you are not able to remember your If you are not able to remember your tables/how to convert units, write down the tables/how to convert units, write down the tables/units first before you start answering tables/units first before you start answering the questions.the questions.

2.2. Technique of answering diagrams/tablesTechnique of answering diagrams/tables

For questions on diagrams/tables (esp. For questions on diagrams/tables (esp. questions on perimeter, measurements tools questions on perimeter, measurements tools etc.) it is best for you to write down the etc.) it is best for you to write down the appropriate units or hidden information appropriate units or hidden information before you continue to solve the problem.before you continue to solve the problem.

Technique of Answering Mathematics Paper 2 Technique of Answering Mathematics Paper 2 (015/2)(015/2)

3.3. Technique of drawing diagrams or tablesTechnique of drawing diagrams or tables

For questions on problem solving which do not For questions on problem solving which do not show any diagrams or tables, it is better for you to show any diagrams or tables, it is better for you to understand the question by drawing diagrams or understand the question by drawing diagrams or tables or jotting down the important notes.tables or jotting down the important notes.

4.4. Important: Important:

Questions on problem solving must be Questions on problem solving must be solved systematically or follow the correct solved systematically or follow the correct steps.steps.

Notes:Notes:

a.a. All workings must be shown All workings must be shown clearly. clearly.

You may lose marks if you do You may lose marks if you do not show the correct steps.not show the correct steps.

Please do your work Please do your work

systematically.systematically.

Note:Note:

b.b. Do not send booklet that Do not send booklet that is not answered.is not answered.

It is better for you to It is better for you to answer part of the question answer part of the question than leaving it blank. You than leaving it blank. You may get some marks for may get some marks for the part that you have the part that you have answered.answered.

Note:Note:

c.c. Use 2B pencil when answering Use 2B pencil when answering all questions.all questions.

Answers must be neat, clear Answers must be neat, clear and systematic.and systematic.

Your booklet must be clean.Your booklet must be clean.

Do not draw or scribble Do not draw or scribble anything that is not asked for.anything that is not asked for.

Remember!Remember!

Do not forget to check your Do not forget to check your workings and answers.workings and answers.

Answer confidently.Answer confidently.

ALL THE BESTALL THE BEST

THANK YOUTHANK YOU