ismo newsletter

Inter-school Maths Olympiad

w w w . i s m o . p k

NEWSLETTER 2013

PAKISTAN’S LARGEST

MATHS OLYMPIAD

ISMO NEWSLETTERNATIONAL INTER-SCHOOL MATHS OLYMPIADInter-school Maths Olympiad

WHAT IS ISMO?

WELCOME TO PAKISTAN’S LARGEST

It is a Mathematics test based on multiple choice questions (MCQs).

PakTurk International Schools & Colleges have been successfully organizing the Inter Schools Maths Olympiad (ISMO) for the students of private and state schools across Pakistan since 2005. ISMO has become a national event and is being conducted all over Pakistan in different cities simultaneously. Attractive Cash Prizes along with Shields and Certificates await the qualifying candidates.

MATHS OLYMPIADDear Students,

The role of Mathematics cannot be denied in this age of rapid technological advancements and innovations. However this subject has always been considered as a dry and boring subject for the students.

It has been observed that the presence of Pakistani youth in International Olympiads is negligible. It may be because of lack of confidence or resources on the part of the students. On the other hand, the students who have been participating in these competitions have proven themselves as second to none.

In order to provide our talented students from all walks of life a healthy and fair chance to show their potential and talent, Inter-School Mathematics Olympiad ISMO was initiated in 2005. Since then the number of participants and schools increased exponentially. Now it has become a national event where thousands of students participate and try to prove themselves.

ISMO encourages the talented students to pursue careers in the fields related to Mathematics. In this respect, the participants will have a chance to see his school’s and their own position all over Pakistan.

I invite you to enjoy this great activity of talents and wish all of you great success.

Kamil Ture Director EducationPakTurk ICEF

ISMO SCHEDULE

REGISTRATION PROCESS

• The 9th National ISMO 2013 will be held on Sunday, November 24, 2013 at all the branches of PakTurk Schools simultaneously.

• Registration will start w.e.f September 23, 2013.

• Last date of registration is November 6, 2013.• Registrations will be accepted (with double

fee) until November 9, 2013.• The reporting time is 60 minutes before the

start of the paper.• The examination will be conducted in two

sessions starting at 10.00 a.m. and 12:30 p.m.• The duration of the test is 90 minutes.• 2nd session students will be taken in before

letting 1st session students leave the school premises.

• Examination time and center will be mentioned on the Registration Slip.

• The registration slips can be downloaded from the Olympiad website www.ismo.pk on November.

• Question booklets along with the answer key will be uploaded on the ISMO Website www.ismo.pk on November 26, 2013 at 7.00 p.m.

• Result of the exam will be announced on www.ismo.pk on December 6, 2013.

• National Prize Distribution Ceremony will be held on December 14, 2013 in Islamabad.

• PakTurk students will be awarded separately; they will not be entitled to claim prizes from general category. PakTurk administration will announce separate prizes for them.

www.ismo.pk

PakTurk branch

www.ismo.pk

ISMO

Desk Staff

SchoolStudent, Parent or

school representative


Student, Parent or

Required information (Reg. format)Reg. Fee (Rs. 500)

Enter your password andget your reg. slip from websiteon November 20, 2013.

Collect Deposit Receipt

2nd Way – Manual Registration

SchoolStudent, Parent or



Student, Parent or

www.ismo.pk

Easy Paisa

Student, Parent or


Required information (Reg. format)

Enter the Data and Receipt number to the system.

Enter the Data and Receipt number to the system.

Username and password will be given

Reg. Fee (Rs. 500)

Enter your password andget your reg. slip from websiteon November 20, 2013.

Collect Deposit Receipt

1st Way – Online Registration

www.ismo.pk

03

frequently-asked questions

PakTurk International Schools & Colleges is offering attractive prizes for the position holder students within the city and at national level as well.

The first position holder of Class 8 will also be awarded with the title “Al-Khwarizmi of Pakistan”

National Prize Winners will get only prize money for national level. No student will get two prizes. National Prize winners may be awarded with a plaque/ souvenir or certificate in city-wise prize distribution ceremonies.

The details of the cash prizes are as follows;

National Level Prizes:

ISMO 2012IN FIGURES TOTAL NUMBER OF SCHOOLS PARTICIPATED: 474 different schools across Pakistan

TOTAL NUMBER OF STUDENTS PARTICIPATED: 7689

TOTAL AMOUNT OF PRIZES DISTRIBUTED: Rs.2 MILLION

Q: What is the medium of the examination ?

A: The question papers for classes 6,7,8 are in English whereas the question paper for class 5 is available both in English and Urdu. The candidates may choose any of the two media.

Q: Who can participate?

A: Any student studying in class 5, 6, 7 or 8 can participate in the competition. Different papers will be given to different classes i.e. for Class 5 to Class 8.

The upper age limit for different classes is:

04

WHAT ARE THE PRIZES?

Class5678

Upper Age Limit12 years13 years14 years15 years

ISLAMABAD

PESHAWAR

LAHORE

MULTAN

QUETTA

KARACHI

KHAIRPUR

JAMSHORO

TOTAL

EXAMCENTRE

PARTICIPATING STUDENTS

PARTICIPATING SCHOOLS

606

459

1134

1627

1401

1454

604

404

7689

61

44

51

27

40

474

60

136

65

NUMBER OF SCHOOLS AND STUDENTS FROM DIFFERENT CITIES

POSITION HOLDERSClass 5

N A T I O N W I D E

S T U D E N T S C H O O L

Class 6

Class 7

Class 8

1

2

3

ZAYYAN NAVEED

ALEEZA FATIMA

REHMAT MUNIR

BEACONHOUSE SCHOOL SYSTEM

THE PUNJAB SCHOOLS

THE CITY SCHOOL

1

2

3

ALI NAWAZ

RAJA SHAHMEER AHMAD

NIMRAH LATIF

GARRISON ACADEMY

SIDDEEQ PUBLIC SCHOOL


1

2

3

FAIZ MUHAMMAD

NAJEEHA AASIM

ABDUR REHMAN SHAMSI




1

2

3

ABDUL MOEEZ IJAZ

MOMIN AHMAD KHAN

LAAIBAH EJAZ

JINNAH PREPARATORY SCHOOL

EMS HIGH SCHOOL

ROOTS SCHOOL SYSTEM

My name is Abdul Moeez Ijaz and I am from Jinnah

Preparatory School. I have got the 1st position in ISMO and the title of Al-Khwarizmi of Pakistan. Such exams should take place frequently because they are

immensely helpful. I am thankful to PakTurk for providing us with this kind of intellectual activity.

Being hosts, the position holders from PakTurk International Schools were not awarded the

prizes in this ceremony. They were given their awards in another programme later.

Al Khwarzmi of Pakistan, Abdul Moeez received his prize from H.E. Cemil Cicek Speaker Grand National Assembly Turkey. Deputy Speaker National Assembly of Pakistan Faisal Kareem Kundi, MNA Tariq Fazal Choudhry and Chairman PakTurk Mr. Unal Tosur were also present at

the occasion.

8TH NATIONAL ISMO PRIZES DISTRIBUTEDPakTurk International Schools & Colleges held the prize distribution ceremony for the first nationwide Inter Schools Math Olympiad (ISMO) on February 13, 2013.

In 2013, ISMO initiated for the conferment of the title Al-Khwarizmi of Pakistan to the best student in Class 8 category in memory of Abu Abdallah Muhammad ibn Musa al-Khwarizmi, who was a legendary Muslim mathematician.

Setting out with the motto, “Pakistan Seeks Al-Khwarizmi,” the 8th National ISMO was held on January 27, 2013 at all the branches of PakTurk schools across the country simultaneously. Approximately 7500 students from classes 5 to 8 representing 500 public and private educational institutions participated in the Olympiad. Students had vied for the coveted top ranks while proving their best potential in numerical skills.

In Class 8 category, Abdul Moeez Ijaz of the Jinnah Preparatory School got the 1st position and the cash prize of

Rs. 50,000. Abdul Moeez also received the title of the “Al-Khwarizmi of Pakistan” for the year 2013 and donned the symbolic gown of Al-Khwarizmi at the prize distribution ceremony.

05

POSITION HOLDERS

Class 5

Class 6

Class 7

1

2

3

4

MUHAMMAD HAAD KHAN

ZOHA ALI

MUSTAFA SALMAN

ZUJAJAH BAKHT

LGS LANDMARK PROJECT

THE PUNJAB TOWNSHIP CAMPUS

DHA SENIOR SCHOOL FOR BOYS

BEACONHOUSE CANAL SIDE CAMPUS

Class 8

L A H O R E Z O N E

S T U D E N T S C H O O L1

2

3

4

ZAYYAN NAVEED

ALEEZA FATIMA

KUMAIL HAIDER TURABI

AREEHA



TAC HIGHER SECONDARY SCHOOL

KIPS SCHOOL MAIN CAMPUS

1

2

3

4

ALI NAWAZ

NOOR-UL-HAQ

HAIKA BASHIR

MUHAMMAD ALI IMRAN

GARRISON ACADEMY

GARRISON ACADEMY

DHA SENIOR SCHOOL FOR GIRLS

BEACONHOUSE SCHOOL BOYS

1

2

3

4

AHSAN TAHIR

SARA MALIK

HAFSA TAHIR

HAMMAD UL HASSAN SHAH

LAHORE GRAMMAR SCHOOL



THE GARRISON ACADEMY BOYS

Class 5

Class 6

Class 7

1

2

3

4

SALMAN UR REHMAN

ASFANDYAR ALI KHAN

SHOAIB AHMAD

HASHIM KHAN

GARRISON CADET COLLEGE KOHAT

GARRISION ARMY PUBLIC SCHOOL



Class 8

P E S H A W A R Z O N E


2

3

4

MUZNA

TEHREEM QASIM

AIMA NISAR

HAMAYAL

CITY SCHOOL UNIVERSITY TOWN GIRLS BRANCH


ARMY IQRA PUBLIC SCHOOL

CITY SCHOOL UNIVERSITY TOWN GIRLS BRANCH

1

2

3

4

MURTAZA

MUHAMMAD AHMAD

RAFAI BABAR

ZUHAD UL HADI

APS & AMPC (BOYS) PESHAWAR CANTT



FAZIA MODEL SCHOOL BADABAIR

1

2

3

4

SHERDIL SHINWARI

IBRAHIM AKHTAR

MUHAMMAD RAYYAN FAISAL

MATEEN AHMAD


FRONTIER CHILDREN ACADEMY

EDWARDS COLLEGE SCHOOL, PESHAWAR

ARMY PUBLIC SCHOOL, PESHAWAR CANTT

06


Class 6

Class 7

1

2

3

4

ABDUL MOEEZ IJAZ

MOMIN AHMAD KHAN

LAAIBAH EJAZ

MUHAMMAD IZAAM BIN RIAZ

JINNAH PREPARATORY SCHOOL

EMS HIGH SCHOOL

ROOTS SCHOOL SYSTEM DHA


Class 8

I S L A M A B A D Z O N E


2

3

4

REHMAT MUNIR

MUHAMMAD AHSAN EJAZ

ADIL ALI TARIQ

SEHRISH AHMED

THE CITY SCHOOL

ROOTS SCHOOL SYSTEM DHAI


OPF GIRLS COLLEGE

1

2

3

4

RAJA SHAHMEER AHMAD

NIMRAH LATIF

ABU BAKAR ALMAS KHAN

RIMSHA KHALID




BEACONHOUSE MARGALLA CAMPUS

1

2

3

4

FAIZ MUHAMMAD

NAJEEHA AASIM

ABDUR REHMAN SHAMSI

ZOHA MUSTAHSON SALEEM





Class 5

Class 6

Class 7

1

2

3

4

MUHAMMAD MAAZ RASHID

FARIS FIAZ

MUHAMMAD RAFAY

MUHAMMAD ALI KHAN

SHAKIR SCIENCE HSS KHAN GARH


SARDAR KAUREY KHAN SCHOOL

BRITISH INTERNATIONAL SCHOOL

Class 8

M U L T A N Z O N E


2

3

4

DUR-E-SAMEEN

ALLAH NAWAZ

MUHAMMAD ASJAL

M. ABDULLAH KHAN

WORKERS WELFARE SCHOOL FOR GIRLS

SHAKIR SCIENCE HSS KHANGARH


WORKERS WELFARE SCHOOL FOR BOYS

1

2

3

4

MUHAMMAD ARHUM

ABDULLAH JAN

ALLAH NOOR

ANAS ISHAQ




THE MULTAN ALMA

1

2

3

4

SHAHZAIB ARSHAD

ABDULLAH TARIQ

MUHAMMAD FARHAN RIAZ

MUHAMMAD SAJJAD

MULTAN PUBLIC SCHOOL

MULTAN PUBLIC SCHOOL



07


Class 6

Class 7

1

2

3

4

ABDULLAH IDREES

S. M. BILAL AHMED

AREEBA MESIA

RAVIHA NADEEM

HABIB PUBLIC SCHOOL

EDUCATION TRUST NASRA SCHOOLS

DAWOOD PUBLIC SCHOOL


Class 8

K A R A C H I Z O N E


2

3

4

FARHAN MAND KHAN

UMESH KUMAR

SYED BASIM MEHMOOD

SAMEED ANSAR

THE CITY SCHOOL GULSHAN CAMPUS

THE CITY SCHOOL PAF CHAPTER

HABIB PUBLIC SCHOOL

THE CITY SCHOOL PAF CHAPTER

1

2

3

4

PAYYAL RAMESH

SYED OSAMA AHMED

MUHAMMAD ALI TANVEER

RUHINA NADEEM

DAWOOD PUBLIC SCHOOL

BVS PARSI HIGH SCHOOL

DA- SKBZ COLLEGE


1

2

3

4

M. AMMAD SIDDIQUE

IKRAM UDDIN AMIR

AYESHA JAWAID

SARAH HASSAN


BEACON LIGHT ACADEMY GULSHAN CAMPUS

HIRA FOUNDATION SCHOOL


Class 5

Class 6

Class 7

1

2

3

4

SAIMA

MUHAMMD MURAD

MUHAMMD AQIB SHAIKH

NITASHA KUMAR

BAB-UL-ISLAM PUBLIC HIGH SCHOOL SUKKUR

THE CITY SCHOOL SUKKUR

MODEL SCHOOL SHAH ABDUL LATIF UNIVERSITY

THE CITY SCHOOL SUKKUR

Class 8

K H A I R P U R Z O N E


2

3

4

AREEBA SHEIKH

MUHAMMAD UMER

AISHA MEMON

ZAWAR AHMED

APWA HIGH SCHOOL SUKKUR




1

2

3

4

ABDULLAH MAJID

SARFARAZ ALI

FARMAN ALI

MUHAMMAD AHMEDUDDIN

IQRA PUBLIC HIGHER SECONDARY SCHOOL

SAMRA PUBLIC SCHOOL GAMBAT



1

2

3

4

HALLAR MEHDI

ALI MEHDI

EMAN QAZI

MUHAMMAD UMAIR

BAHRIA FOUNDATION COLLEGE RANIPUR

AL-QUAIM MODEL PUBLIC SCHOOL KHAIRPUR

IQRA PUBLIC HIGHER SECONDARY SCHOOL


08

Class 5Q U E T T A

S T U D E N T S C H O O L

Class 6

Class 7

Class 8

1

2

3

REHMAT ULLAH

NAQEEB ULLAH

MANAHIL TAHIR

IQRA AL YOUSAF PUBLIC SCHOOL SARANAN

ZAR AFSHAN MODEL SCHOOL

THE EDUCATORS CITY CAMPUS II

1

2

3

SIRAJ AHMED

MOHAMMAD NAWAHIL

USMAN GHANI

ZAR AFSHAN MODEL SCHOOL

GARRISON ACADEMY QUETTA CANTT.

GOVERNMENT HIGH SCHOOL NASARAN

1

2

3

KAINAT MALIK

NOOR ULLAH

BISMILLAH

POLICE GRAMMAR HIGH SCHOOL

ASHAB -E- SUFFA EDUCATIONAL INSTITUTE

ASHAB -E- SUFFA EDUCATIONAL INSTITUTE

1

2

3

SARDAR-UD-DIN

HARIS AKRAM

ABDUL RAZAQ

AL- HIJRA RESIDENTIAL SCHOOL ZIARAT

ARMY PUBLIC SCHOOL & COLLEGE

AL- HIJRA RESIDENTIAL SCHOOL ZIARAT

POSITION HOLDERS

Class 5

Class 6

Class 7

1

2

3

4

M. FASEEH UL AZIZ

ELAF RANI

DUA AHMED

FAIZ-UR-REHMAN

CADET COLLEGE PETARO, JAMSHORO.

AGA KHAN SCHOOL, HYDERABAD

AGA KHAN SCHOOL, HYDERABAD

CADET COLLEGE PETARO, JAMSHORO.

Class 8

J A M S H O R O Z O N E


2

3

4

MOHIT ANEEL

ALIYA PARVEEN

ABDUL MATEEN

NOOR UL HUDA

BEACONHOUSE SCHOOL

ISRA HIGHER SECONDARY SCHOOL

PUBLIC SCHOOL HYDERABAD

BEACONHOUSE SCHOOL, HYDERABAD

1

2

3

4

ABDUL MOIZ

ASAD YASIR

HUSSAIN AHMED

NAVERA

FALCONHOUSE GRAMMAR SCHOOL, HYDERABAD.

FALCONHOUSE GRAMMAR SCHOOL, HYDERABAD

BEACONHOUSE SCHOOL (LATIFABAD)

PUBLIC SCHOOL HYDERABAD

1

2

3

4

ADEELA JUNEJO

AHMED MUSTAFA

AREESHA

ZAIN ALI SHAH

BEACONHOUSE SCHOOL, HYDERABAD

BEACONHOUSE SCHOOL (LATIFABAD)

HAYAT GIRLS SCHOOL, HYDERABAD

THE EDUCATORS HAPPY HOMES CAMPUS

09

ISMO 2013 CLASS-5 (2174 STUDENTS)


The easiest question (Q28) was answered

correctly by 1164 students: (Answer: D)The easiest question (Q16) was answered

correctly by 1233 students (Answer: B)

The most difficult question (Q23) was

answered correctly by 136 students:

(Answer: C)


done by 218 students: (Answer: B)

Q28: Which of the following statement is false?Q16: Which statement is true about this division

operation?

Q23: How many triangles are in the figure?

Q6: Find the value of if a = 2 and

b= -2

A) 12 x 12 = 122

C) 49 x 49 = 492

B) 15 x 15 x 15 = 153

D) 4 + 4 + 4 +4 = 44

A) Remainder is 0

C) Divisor is 7849

B) Quotient is 62

D) Dividend is 2345

24 30 32 None of theseA) B) C) D)

(a - b)(a - b)

(a - b)

12562

99

7849

2345

_

PakTurk will appoint invigilators according to ISMO examination norms.

After the exams, the particulars of the position holder students will be verified.

The prizes will be distributed to the students after the verification of their data.

All the decisions of the ISMO organizing board will be final.

WHAT ARE THE TERMS AND CONDITIONS FOR EXAM ?

A) 44 B) 43 C) 42 D) 4

10




correctly by 1128 students: (Answer: B )

Q2: Find the value of h in the equation

12 h15

195

7 45

= +

A)225B)

275C)

335D)

The most difficult question

(Q21) was answered correctly by 213 students:

(Answer: D)

7aA)

8aB)

-49aC)

-57aD)

Q21: if = a then, which of the followings

is the result of in terms of a

7-8

5-2

7+8

5+2


correctly by 1448 students: (Answer:D )


done by 79 students: (Answer: A)

Q31: In a jar of red, green, and blue

marbles, all but 15 are red marbles, all but

21 are green, and all but 14 are blue. How

many marbles are there in the jar?

Q5: If 241 x 113 = 27233 then what is

241 x 339 = ?

A) 8169

C) 54466

B) 27233

D) 81699

A) 25

C) 35

B) 29

D) 50

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ISMO NOVEMBER 2013 CLASS-5MATHS SYLLABUS

EXAM CENTRES

1-NATURAL NUMBERS & WHOLE NUMBERS1.1 Counting1.2 Ordering Numerals1.3 Place Value1.4 Rounding Off1.5 Addition, Subtraction, Multiplication and Division of Natural Numbers & Whole Numbers1.6 Order of Operations (BODMAS)1.7 Word Problems2-L.C.M. and H.C.F.2.1 Common Multiples and Common Factors 2.2 Prime Numbers and Composite Numbers 2.3 Prime Factorization 2.4 The L.C.M. and the H.C.F. of Larger Numbers3- FRACTIONS & DECIMALS3.1 Equivalent Fractions3.2 Lowest Form of a Fraction3.3 Reducible and Irreducible Common Fractions3.4 Reducing a Fraction to its lowest Form 3.5 Reducing a Fraction into its lowest Form by the use of Highest Common Factor (H.C.F.)3.6 Decimals 3.7 Converting a Decimal Fraction into a Fraction and then to its Lowest Form3.8 Converting a Fraction into a Decimal Fraction3.9 Rounding Off Decimals3.10 Addition, Subtraction, Multiplication and Division of Decimals & Fractions3.11 Word Problems3.12 Brackets4-UNITARY METHOD4.1 Introduction

4.2 Finding the price of more things if price of one thing is given4.3 Price of unit thing when the price of more things is given4.4 Price of a given number of things when the price of some similar things is given4.5 Concept of Direct and Inverse Proportion4.6 Problems Involving Direct Proportion by using Unitary Method4.7 Problems Involving Inverse Proportion by using Unitary Method4.8 Time5-PERCENTAGES5.1 Percentages5.2 Expressing Fractions and Decimals as Percentages5.3 Percentage of a Quantity5.4 Word Problems6-AVERAGE/ INFORMATION HANDLING6.1 Concept of Average6.2 Average when Data is Given in a Table6.3 Word Problems6.4 Bar and Line Graphs6.5 Pie Charts7-GEOMETRY7.1 Adjacent Angles7.2 Complementary Angles7.3 Supplementary Angles7.4 Perpendicular Lines7.5 Parallel Lines7.6 Measuring and Converting Lengths7.7 Circumference & Area of a Circle7.8 Perimeter & Area of a Square7.9 Perimeter & Area of a Rectangle

IslamabadBoys Campus: Plot No. 3, Park Road, Chak Shehzad, Islamabad. Tel. No. (051) 2615781-5, Fax: (051) 2615783,Girls Campus: Plot No: 87 & 88, Sector H-8/1, Ph: 051-4442713-14, IslamabadPre School/Junior Campus: 605, Street 29, G-10/2, Islamabad Tel. No. (051) 2352926, 2352625, Fax: (051) 2352933

Peshawar Campus:Boys Campus: Near Passport Office, Phase 5 Hayatabad, Peshawar. Tel. No. (091) 5891492, Fax: (091) 5891493Multan Campuses:Bosan Road Campus: Main Bosan Road, Near Al Hamd CNG.Tel. No. (061) 6512966, 6512807, Fax: (061) 6512966Ali Chowk Campus: Shah Shams Road, Ali Chowk, Multan. Tel. No. (061) 4782781

12


1-NATURAL NUMBERS & WHOLE NUMBERS1.1 Counting1.2 Ordering Numerals1.3 Place Value1.4 Rounding Off1.5 Addition, Subtraction, Multiplication and Division of Natural Numbers & Whole Numbers1.6 Order of Operations (BODMAS)1.7 Word Problems1.8 Number Sequences1.9 Square and Cube1.10 Divisibility2- FRACTIONS (Rational Numbers) & DECIMALS2.1 Revision of Fractions2.2 Reduction of a Fraction to its Lowest Form2.3 Equivalent Fractions 2.4 Distributive Property of Multiplication over Addition and Subtraction in Fractions2.5 Use of Brackets in Fractions2.6 Word Problems involving Fractions2.7 Use of Brackets in Decimals2.8 Converting a Fraction into a Decimal Fraction2.9 Rounding Off Decimals2.10 Addition, Subtraction, Multiplication and Division of Decimals & Fractions2.11 Brackets 2.12 Word Problems involving Decimals & Fractions3-FACTORS AND MULTIPLES3.1 Common Multiples and Common Factors 3.2 Prime Numbers and Composite Numbers 3.3 Prime Factorization 3.4 The L.C.M. and the H.C.F. of Larger Numbers3.5 Word Problems involving the L.C.M. and the H.C.F.4-INTEGERS 4.1 Directed Numbers and Their Representation on Number Line4.2 Addition, Subtraction, Multiplication and Division of Directed Numbers

5-PERCENTAGE, RATIO AND PROPORTION5.1 Concept of Percentage5.2 Relations among Percentage, Common Fraction and Decimals5.3 Problems Related to Percentage5.4 Application of Percentage 5.5 Profit and Loss5.6 Concept of Ratio5.2 Relation between Ratio and Fraction 5.3 Ratio among Three or More Quantities5.4 Simplified Form of Ratio5.5 Proportion5.6 Direct and Inverse Proportion5.7 Word Problems6-AVERAGE/ INFORMATION HANDLING6.1 Concept of Average6.2 Average when Data is given in a Table6.3 Word Problems6.4 Pictograms, Pie Chart, Bar and Line Graphs6.5 Interpreting Graphs6.6 Using Data to Solve Problems7-GEOMETRY 7.1 Adjacent Angles7.2 Complementary Angles7.3 Supplementary Angles7.4 Sum of Angles at a Point7.5 Perpendicular and Parallel Lines7.6 Measuring and Converting Lengths7.7 Polygons 7.8 Properties of Triangles7.9 Circumference & Area of a Circle7.10 Perimeter & Area of a Triangle, a Square, a Rectangle and a Parallelogram7.11 Finding the volume of a Cube and a Cuboid8-TIME8.1 Conversion of Units8.2 Problems Involving Time

Lahore Campuses:Boys Campus: Al-Rehman Chowk, Raiwind Road, 5 km from Thokar Niaz Baig, Lahore, Tel. No. (042) 35324221, Fax: (051) 35324222,Girls Campus: 189, Airline Society Khayaban-e-Jinnah Lahore Tel. No. (042) 35954861, Fax: (042) 35954862,Islampura Pre-School/Junior Campus: Afghan Park Chowk, Sannat Nagar, IslampuraLahore, Tel. No. (042) 37153327Khayaban-e-Amin Pre-School/Junior Campus: Khayaban-e-Amin Society, Block E, Defence Rd, Lahore. Tel. No. (042) 35224866, Fax: (042) 35224879

Karachi Campuses:Boys Campus: Street No. 11, Block No. 1,Clifton, Karachi.Tel. No. (021) 35821836-7, Fax: (021) 35821835Girls Campus: Street No. 21/1, Block No. 6, Gulshan-e-Iqbal, Karachi Pre-School/Junior/Boys Campus: Street No. 26, Block No. 14, Gulistan-e-Jauhar, Karachi

13

EXAM CENTRES


1- NATURAL NUMBERS, WHOLE NUMBERS, INTEGERS & RATIONAL NUMBERS 1.1 Order of Operations (BODMAS), Number Sequences1.2 Addition, Subtraction, Multiplication and Division of Natural Numbers, Whole Numbers, Integers & Rational Numbers1.3 Distributive Property of Multiplication over Addition or Subtraction on Natural Numbers, Whole Numbers, Integers & Rational Numbers1.4 Word Problems on Natural Numbers, Whole Numbers, Integers & Rational Numbers2- SQUARE ROOTS2.1 Concept of Square Root of Positive Numbers2.2 Finding Square Root 2.3 Solving Word Problems Related to Square Root3-PERCENTAGE3.1 Concepts of Cost Price, Sale Price and Profit and Loss3.2 Finding Profit or Loss Percent When Purchase Price and Sale Price is given3.3 Finding Sale Price When Cost Price and Profit or Loss Percent is given3.4 Simple Interest4- RATIO AND PROPORTION 4.1 Ratio and Proportion4.2 Direct and Inverse Proportion4.3 Word Problems5-ALGEBRA 5.1 Algebraic Expressions and Sentences5.2 Co-efficient, Base and Exponent5.3 Terms of Algebraic Expressions

5.4 Laws of Exponents5.5 Concept of Polynomials and its Degrees5.6 Order of a Polynomial 5.7 Addition, Subtraction, Multiplication and Division of Polynomials5.8 Value of an Algebraic Expression5.9 Linear Equation 5.10 Solution of a Linear Equation5.11 Use of Solution of Linear Equations in Daily Life6-GEOMETRY 6.1 Adjacent Angles6.2 Complementary Angles6.3 Supplementary Angles6.4 Sum of Angles at a Point6.5 Perpendicular and Parallel Lines6.6 Measuring and Converting Lengths6.7 Angle Properties of Polygons 6.8 Angle Properties of Triangles6.9 Circumference & Area of a Circle6.10 Perimeter & Area of a Triangle, a Square, a Rectangle, a Trapezium and a Parallelogram6.11 Finding the volume of a Cube and a Cuboid 7-INFORMATION HANDLING 7.1 Concept of Average7.2 Average when Data is given in a Table7.3 Word Problems7.4 Pictograms, Pie Chart, Bar and Line Graphs7.5 Interpreting Graphs7.6 Using Data to Solve Problems

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EXAM CENTRES


1- NATURAL NUMBERS, WHOLE NUMBERS, INTEGERS & RATIONAL NUMBERS 1.1 Order of Operations (BODMAS), Number Sequences1.2 Addition, Subtraction, Multiplication and Division of Natural Numbers, Whole Numbers, Integers & Rational Numbers1.3 Distributive Property of Multiplication over Addition or Subtraction on Natural Numbers, Whole Numbers, Integers & Rational Numbers1.4 Word Problems on Natural Numbers, Whole Numbers, Integers & Rational Numbers2- SQUARE ROOTS2.1 Concept of Square Root of Positive Numbers2.2 Finding Square Root 2.3 Solving Word Problems Related to Square Root2.4 Concept of an Irrational Number2.5 Word Problems Involving Square Root3-PERCENTAGE3.1 Concepts of Cost Price, Sale Price and Profit and Loss3.2 Finding Profit or Loss Percent When Purchase Price and Sale Price is given3.3 Finding Sale Price When Cost Price and Profit or Loss Percent is given3.4 Simple Interest4- RATIO AND PROPORTION 4.1 Ratio and Proportion4.2 Direct and Inverse Proportion4.3 Word Problems5-ALGEBRA 5.1 Simplifying an Algebraic Expression Involving Brackets5.2 Evaluating Algebraic Expressions 5.3 Addition, Subtraction, Multiplication and Division of Polynomials 5.4 Expansion and Factorization of Algebraic Expressions5.5 Algebraic Manipulation and Formulae

5.6 Simultaneous Linear Equations5.7 Word Problems6-GEOMETRY 6.1 Angle Properties of Lines, Polygons and Regular Polygons6.2 Angle and Side Properties of Triangles6.3 Circumference & Area of a Circle6.4 Perimeter & Area of a Triangle, a Square, a Rectangle,a Trapezium, a Rhombus and a Parallelogram6.5 Applications of Pythagoras Theorem7-INFORMATION HANDLING 7.1 Concept of Average7.2 Average when Data is given in a Table7.3 Word Problems7.4 Pictograms, Pie Chart, Bar and Line Graphs7.5 Interpreting Graphs7.6 Using Data to Solve Problems8-SETS 8.1 Concept of a set and its Name8.2 Elements of a Set 8.3 Null Set8.4 Different Forms of a Set Writing8.5 Finite and Infinite Sets8.6 Union of two Sets8.7 Intersection of two Sets8.8 Commutative Property of Union and Intersection on sets 8.9 Subset 8.10 Finding Subsets of a Set8.11 Equality of Two Sets 8.12 Power Set8.13 Universal Set 8.14 Difference of two sets8.15 Compliment of a Set 8.16 Union and Intersection of three sets

Jamshoro LUMHS Campus:PakTurk International School LUMHS Branch, Indus Highway Jamshoro.Tel. No. (022) 3878005, Fax: (022) 3878006

Hyderabad ISRA Campus:PakTurk International Schools & Colleges, ISRA University Campus, Halla Road, Hyderabad, Sindh. Tel: (022)2030037-37Fax:(022)3045515

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