4 4 4 4 4 4 4 4 .....so what is special about these ‘four’...?????

01. ‘Four’ people speak like ‘four’.

02. If good things happen to ‘four’ people, nothing is wrong.

03. ‘Four’ does not earn money, so they should study....????

04. Only ‘Four’ can understand the world if they go around the city.

05. He who knows ‘four’., He who understands ‘four’.

06. ‘Four’ should listen carefully to the words of ‘four’.

Why is this ‘four’ so special....

In the Sangha literature, in the books of the eight-digit number system, four comes along with the name. Some four., forty and eight are four hundred., and in the universe, ‘four’ comes as four thousand.

Naladiyar., Nanmanikadigai., Inna forty., Iniyavai Narpathu.

AgaNaanooru.., PuraNaanooru., Nalaira diviya prabantham....

“Milk., Talithenum., Bagum., Dalum, these ‘four’ mixed together I will give you”

A song of God’s greeting in the ‘Nal’vazhi Righteousness book of Auvaiyar.

Nalum., Both are the words... In this ‘Nal’ is.. Naladiyar....

“Becoming in love and shedding tears

He who recites it, he who rises to the path of virtue

‘The four Vedas’ is the true meaning

Nathan Namam Namachivayeva”

‘Nanmarai’.... means ‘four’ of the Vedas.

The foremost of the Nayanmars who spread the Saivism are ‘four’.

Appar., Sambandar., Sundarar., Manickam. We call them the four.

Out of the ten (nine) incarnations of Mahavishnu, only ‘four’ incarnations took human form (in pregnancy).

Veda Vyasa, who divided the Vedas into four, entrusted the responsibility of spreading them to ‘four’ Rishis. They were

Ruk ═ Bailar., Yajur ═ Jaimini., Sama ═ Vaisampayana., Atharvana ═ Sumandhu.

Dasharatha had ‘four’ children.

The ‘four’ purusharthas....

They are Dharma., Artha., Kama., Moksha.

The stages that a person has to go through from birth to death

are also ‘four’

They are ~ Brahmacharya., Grihasthashrama., Vanaprastha., Sannyasa.

The sons of Brahma are ‘four’. Sanagar, Sanadhan, Sanandhan, Sanatkumar.

Brahma has ‘four’ heads. Brahma is called Chaturmukha.

Adi Shankara established ‘four’ monasteries in the ‘four’ directions/corners of India and appointed ‘four’ disciples.

Fire has ‘four’ forms namely Gampira, Yamala, Mahati, Panchami.

The directions are ‘four.’

The Kumbh Mela is held in ‘four’ places namely Haridwar, Allahabad (Prayagai, Triveni Sangamam), Nashik, and Ujjain.

The four types of armies are: Ratha, Gaja, Duraga, Padati (chariot, elephant, horse, infantry...).

Aham Brahmasmi, Tattvam Asi, Prajnanam Brahma, Ayamatma Brahma.... The four great words mentioned in the Upanishads.

The four that cannot be conquered

“Sleep, dream, woman, Kama Agni Indana Kara Pana”

Dreaming does not satisfy sleep,

Women do not satisfy desire,

Firewood does not satisfy fire,

Drinking does not satisfy a drunkard.

“Na Swapnena Jayet Nidram Na Kamena Jayet Striyaha

Na Indanena Jayet Agni Na Pane Na Kara Pana Kara Pana”

This is what Vidura Neethi Hidopadesam

“Fire cannot be extinguished by wood.

Rivers cannot fill the ocean.

Yama cannot be conquered even by all living beings.

Men cannot satisfy beauties.”

The ages.... Gratam., Tretam., Dvaparam., Kali are ‘four’

Fear., Math., Naanam., Pasalppu... The ‘four’ types of qualities of a woman

On Shivaratri, ‘Nalu’ Kala Puja is performed.

Those who have learned all the ‘four’ Vedas are called Chaturvedi.

Although the number ‘four’ has special qualities.

Be as good in life as ‘four’ people...

It also has the concept that “Even in death.,

For good.,

For bad., ‘four’ people are needed”

I want to let 'four' people know., 'four' wrote the paragraph., if at least 'four' people read it....💐💐💐

Read it in Tamil also pleasure one

4 4 4 4 4 4 4 .....அப்படி இந்த ‘நாலு’க்கு என்னதாங்க ஸ்பெஷல்....?????

01. ‘நாலு’ பேரு ‘நாலு’ விதமா பேசுவாங்க.

02. ‘நாலு’ பேருக்கு நல்லது நடக்கும்னா எதுவும் தப்பில்ல. 

03. ‘நாலு’ காசு சம்பாதிக்கவாது படிக்கணும்ல....????

04. ‘நாலு’ ஊரு சுற்றினாதான் உலகம் புரியும்.

05. அவரு ‘நாலு’ம் தெரிஞ்சவரு., ‘நாலு’ம் புரிஞ்சவரு. 

06. ‘நாலு’ வார்த்த நறுக்குன்னு நல்லா கேக்கணும்.

ஏன் இந்த ‘நாலு’ மட்டும் இவ்ளோ ஸ்பெஷல்....

சங்க இலக்கியத்தில் பதினெண்கீழ்கணக்கு நூல்களில்., பெயருடன் நான்கு சேர்ந்து வரும். சில நாலு., நாற்பது மற்றும் எட்டுத்தொகையில் நானூறு., பிரபந்தத்தில் நாலாயிரம் என ‘நான்கு’ வரும்.

நாலடியார்., நான்மணிக்கடிகை.,இன்னா நாற்பது., இனியவை நாற்பது

அக நானூறு., புற நானூறு., நாலாயிர திவ்ய பிரபந்தம்....

“பாலும்., தெளிதேனும்., பாகும்., பருப்பும் இவை ‘நாலு’ம் கலந்து உனக்கு நான் தருவேன்”

ஔவையாரின் ‘நால்’வழி நீதி நூலில் கடவுள் வாழ்த்து பாடல்.

நாலும்., இரண்டும் சொல்லுக்குறுதி... இதில் ‘நாலு’ என்பது.. நாலடியார்....

“காதலாகிக் கசிந்து கண்ணீர் மல்கி

ஓதுவார் தமை நன்நெறிக்கு உய்ப்பது

‘வேதம் நான்கினும்’ மெய்ப்பொருளாவது

நாதன் நாமம் நமச்சிவாயவே”

‘நான்மறை’.... என்பது வேதங்கள் ‘நான்கு’.

சைவ நெறியைப் பரப்பிய நாயன்மார்களில் முதன்மையானவர்கள் ‘நான்கு’ பேர்.

அப்பர்., சம்பந்தர்., சுந்தரர்., மாணிக்க வாசகர். இவர்களை நால்வர் என அழைக்கிறோம்.

மஹாவிஷ்ணுவின் பத்து (ஒன்பதில்) அவதாரங்களில் ‘நான்கு’ அவதாரங்களுக்கு மட்டுமே மனிதனாக (கர்பவாசத்தில்) எடுத்ததாகும்.

வேதங்களை நான்காகப் பகுத்த வேத வியாசர்., அவற்றை ‘நாலு’ ரிஷிக்களிடம் பரப்பும் பொறுப்பை ஒப்படைத்தார். அவர்கள்

ருக் ═ பைலர்., யஜூர் ═ ஜைமினி., சாம ═ வைசம்பாயன., அதர்வண ═ சுமந்து.

தசரதனுக்கு ‘நான்கு’ பிள்ளைகள்.

‘நான்கு’ புருஷார்த்தங்கள்....

அவை தர்ம., அர்த்த., காம., மோட்சம்.

மனிதன் பிறப்பு முதல் இறப்பு வரை

கடக்க வேண்டிய நிலைகளும் ‘நான்கு’

அவை ~ பிரம்மசர்யம்., கிருஹஸ்தாச்ரமம்., வானப்ரஸ்தம்., சந்யாசம்.

பிரம்மாவின் மானஸ புத்திரர்கள் ‘நான்கு’ பேர். சநகர்., சநாதனர்., சநந்தனர்., சனத் குமாரர்.

பிரம்மாவுக்கு ‘நான்கு’ தலைகள். சதுர்முகன் என்ற பெயர் பிரம்மாவுக்கு உண்டு.

ஆதிசங்கரர் பாரத நாட்டின் ‘நான்கு’ திசைகளிலும்/மூலைகளிலும் ‘நான்கு’ மடங்கள் நிறுவி., ‘நான்கு’ சீடர்களை நியமித்தார்.

அக்னிக்கு கம்பீரா., யமலா., மஹதி., பஞ்சமி என ‘நான்கு’ வடிவங்கள்.

திசைகள் ‘நான்கு.’

ஹரித்வார்., அலஹாபாத் (பிரயாகை, த்ரிவேணி சங்கமம்)., நாசிக்., உஜ்ஜையினி என ‘நான்கு’ இடங்களில் கும்ப மேளா நடைபெறும்.

ரத., கஜ., துரக., பதாதி (தேர்., யானை., குதிரை., காலாட் படைகள்.... என ‘நால்’ வகைப் படைகள்.

அஹம் பிரம்மாஸ்மி., தத்வம் அஸி., பிரக்ஞானம் பிரம்ம., அயமாத்ம ப்ரம்ம.... உபநிஷத்தில் கூறப்படும் ‘நாலு’ மஹா வாக்யங்கள்.

வெல்ல முடியாத ‘நாலு’

“நித்ரா., ஸ்வப்ன., ஸ்த்ரீ., காமஅக்னி இந்தன கரா பாண”

கனவு காண்பது தூக்கத்தை நிறைவு செய்யாது.,

பெண்களுக்கு ஆசை நிறைவு செய்யாது.,

தீயை விறகு நிறைவு செய்யாது.,

குடிகாரனை குடி நிறைவு செய்யாது.

“ந ஸ்வப்னேன ஜயேத் நித்ராம் ந காமேன ஜயேத்ஸ்திரியஹ

ந இந்தனேன ஜயேதக்னீம் ந பானேன கராம் ஜயேத்.” விதுர நீதி

இதையே ஹிதோபதேசம்

“அக்னியை விறகு அணைக்காது.,

சமுத்திரத்தை ஆறுகள் நிறைக்காது.,

யமனை எல்லா உயிர்களும் சேர்ந்தாலும் வெல்ல முடியாது.,

அழகிகளை ஆண்கள் த்ருப்தி செய்ய முடியாது” என சொல்கிறது

யுகங்களும்.... கிரதம்., திரேதம்., துவாபரம்., கலி என ‘நான்கு’

அச்சம்., மடம்., நாணம்., பயிர்ப்பு... பெண்டிரின் ‘நால்’ வகை குணங்கள்

சிவராத்ரியில் ‘நாலு’ கால பூஜை நடக்கும்.

‘நான்கு’ வேதங்களும் கற்றவர்களை சதுர்வேதி என்பார்கள்.

‘நான்கு’ என்ற எண் சிறப்புக்கள் கொண்டிருந்தாலும்., 

‘நாலு’ பேரை போல வாழ்வில் நல்லா இருக்கனும்....

“செத்தாலும்., 

நல்லதுக்கும்.,

கெட்டதுக்கும்., ‘நான்கு’ பேர் வேண்டும்” 

என்ற கருத்தாக்கத்தையும் கொண்டுள்ளது.

ஒரு ‘நாலு’ பேருக்கு தெரியட்டும் என்று., ‘நாலு’ பத்தி எழுதினதை., ஒரு ‘நாலு’ பேராவது படிச்சா சரி....💐💐💐

calendar 2025

What a fascinating set of mathematical properties of the year 2025! You've highlighted some remarkable characteristics, including:

1. 2025 being a square number (45²)

2. Being the product of two squares (9² x 5²)

3. Being the sum of three squares (40² + 20² + 5²)

4. Being the first square year after 1936

5. Being the sum of cubes of single digits from 1 to 9

These properties make 2025 a unique and interesting year indeed! Thank you for sharing this delightful mathematical wonder!

Our next calendrer year 2025 is a mathematical wonder

Interesting 2025

1) 2025, itself is a square 

2) It's a product of two squares, 

Viz. 9² x 5² = 2025

3) It is the sum of 3-squares, 

viz. 40²+ 20²+5²= 2025

4) It's the first square after 1936

5) It's the sum of cubes, of all the single digits, from 1 to 9,

 viz. 1³+2³+3³+4³+5³+6³+7³+8³+9³= 2025.

This is going to be our NEXT YEAR. 😊

QUESTION BANK CLASS 6

 QUESTION BANK 

CLASS 6

KNOWING OUR NUMBERS

	1 crore  = _____ million         a) 9    b) 10           c) 100       d) 1000
	The greatest five digit number is ____           a) 9999    b) 99999           c) 10000       d) 100000
	The successor of 100199 is           a) 100198            b) 100990                c) 100200             d) 10200
	The whole number _____ lies between 10 and 12.           a) 10           b) 11                 c) 13               d) 14
	Which is the smallest whole number? a) 0              b) 1                  c) 2              d) 4
	999 + 1=____ a) 998             b) 10000                  c) 100             d) 1000
	______ is neither Prime nor Composite.         a) 0              b) 1                  c) 2              d) 4
	The smallest composite number is _______________.         a) 1              b) 4                  c) 2              d) 0
	How many lines can pass through two given points?            a) 2       b) 0         c) 1        d) infinitely
	In the given diagram, name the point in the exterior of ∠EOF              a) C              b) E                c) B               d) F
	What is the measure of straight angle?           a) 75°         b) 0° c) 90°           d) 180°
	Identify open curve. a)    b)            c)        d)
	Fill in the Blanks: (13) +  ____ = 0.          a) 1              b) 13                  c) (-13)              d) 0
	Represent the deposit of rupees two hundred as integers with appropriate signs. a) 100              b) (-200)                 c) (-100)              d) 200
	Write the fraction representing the shaded portion  a) 25             b) 13                  c) 14              d) 24
	58 = 10  Replace by the correct number 8              b) 10                  c) 15              d) 16
	SECTION:B (Short Answers-1) (5 x 2 = 10 Marks)
	Place commas correctly and write the numerals:- Fifty-eight million four hundred twenty-three thousand two hundred two.
	How many whole numbers are there between 32 and 53?
	Where will the hand of a clock stop if it starts at 2 and make 12 of a revolution, clockwise?
	Write all the integers between the given pairs 4 and (-4).
	What fraction of a day is 8 hours?
	SECTION:C (Short Answers-2) ( 8 x 3 = 24 Marks )
	A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?
	Write the next three natural numbers after 10999.
	Find the HCF of 12,45 and 75
	Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.
	Name the types of following triangles: (a) Δ LMN with m∠ L = 30° , m∠ M = 70° and m∠ N = 80° . (b)ΔABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm. (c) Δ DEF with m∠ D = 90°
	Using the number line write the integer which is 5 more than (-5).
	Add without using number line:  (a) (-10) + 19 (b) (–250) + (+150)
Express the following as improper fractions: 734
SECTION:D (Long Answer) ( 5 x 4 = 20 Marks )
A vessel has 4 litres and 500 ml of curd. In how many glasses each of 25 ml capacity, can it be filled?
Find the least number which when divided by 6, 15 and 18, leave remainder 5 in each case.
Use the figure to name:  (a) Five points       (b) A line (c) Four rays     (d) Five line segments
Measure and classify each angle:
Find:  (a) (–7) +(– 8)+ (- 90)   (b) 50 – (– 40) – (–2)
SECTION:E (Case Base study) (10 x 1 = 10 Marks)
Cuisenaire Rods can represent various fractions, depending on the choice of the unit rod.  For example, if the unit rod is brown, then the purple rod represents 1/2 .  Use the Cuisenaire Rods in question 1 and 2.
What fraction is represented by the green rod if the blue rod is the unit rod?  (a) 1/ 3          (b) 2/3          (c) ¾        (d) 3/7
If the dark green rod represents 3/4, what is the unit rod?  (a) black          (b) brown          (c) dark green       (d) yellow
What fraction is represented by the yellow rod if the black rod is the unit rod? (a) 5/7          (b) 2/3          (c) 2/5       (d) 5/6
What is the unit rod if the purple rod represents 2/3? (a) blue         (b) black          (c) dark green        (d) brown
If the unit rod is the orange rod, what fraction is represented by the black rod? (a) 7/10          (b) 1/4          (c) 2/3        (d) 3/8
CRICKET  The 2011 ICC Cricket World Cup was the tenth Cricket World Cup. It was played in India, Sri Lanka, and Bangladesh (for the first time). India won the tournament, defeating Sri Lanka by 6 wickets in the final at Wankhede Stadium in Mumbai, thus becoming the first country to win the Cricket World Cup final on home soil. Runs scored by the batsman of both the teams in this match were as follows: S.No NAME OF SRI LANKAN BATSMAN RUN SCORED NO OF BOUNDARIES HIT 1  U. THARANGA  2 0 2  T. DILSHAN 33  3 3  K. SANGAKKARA  48  5 4  M. JAYAVARDENE  103  13 5  T. SAMARAWEERA  21  2 6  CK. KUPUGEDERA  1 0 7  N. KULASEKARA  32  6 8  T. PERERA  22 3 S.No NAME OF INDIAN BATSMAN RUN SCORED NO OF BOUNDARIES HIT 1  VIRENDER SAHVAG  0  0 2  SACHIN TENDULKAR  18  2 3  GAUTAM GAMBHIR  97  9 4  VIRAT KOHLI  35 4 5  M.S. DHONI  91 8  6  YUVRAJ SINGH  21 2
Which team won 2011 cricket world cup final match? (a) Sri Lanka (b) India (c) England (d) Australia
How many players of Indian team scored equal to smallest whole number? (a) 2 (b) 3 (c) 4 (d) 1
How many more runs M. S. Dhoni need to reach highest two digit number? (a) 10 (b) 9 (c) 8 (d) 7
Write the name of player of team India, who did not score boundary. _____
In Sri Lanka team, score of which player is predecessor of score of T. PARERA?

SECTION:A (1 x 5 = 5 Marks)

Which of the following is a prime number?           a) 15         b) 37 c) 81           d) 45

The greatest four digit number is            a) 99998       b) 99999         c) 10000        d) 9999

The smallest whole number is           a) 1              b) 2                 c) 3               d) 0

The predecessor of 96 is           a) 92            b) 93                c) 91             d) 95

9999 + 1 = ________           a) 100         b) 1000           c) 10000       d) 100000

SECTION:B (1 x 5 = 5 Marks)

State –True or false    All prime numbers are odd.

State –True or false    The whole number 13 lies between 11 and 12.

Fill in the Blanks: The smallest composite number is ______.

1 million = _____ lakh

What is the greatest prime number between 1 and 10?

SECTION:C (4 x 2 = 8 Marks)

Place commas correctly and write the numerals:- Seventy three lakh seventy five thousand three hundred seven.

Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches.He wishes to complete 10,000 runs. How many more runs does he need?

Find the sum by suitable rearrangement:-       837+208+363

Write first five multiples of 9.

SECTION:D ( 3 x 4 = 12 Marks )

Write all the factors of 36?

Write the prime factorization of 45

Find the product using suitable property:-       854 x 103.

A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

SECTION:E ( 2 x 5 = 10 Marks )

The distance between the school and the house of a student is 1km 875m . Everyday she walks both ways.Find the total distance covered by her in five days

Find the HCF of 12,45 and 75

SECTION:A (1 x 5 = 5 Marks)

Which of the following is a prime number?           a) 12         b) 37 c) 81           d) 49

The greatest five digit number is            a) 99998       b) 99999         c) 10000        d) 99990

The smallest whole number is           a) 1              b) 2                 c) 3               d) 0

The predecessor of 94 is           a) 92            b) 93                c) 91             d) 95

9999 + 1 = ________           a) 100         b) 1000           c) 10000       d) 100000

SECTION:B (1 x 5 = 5 Marks)

State –True or false    All prime numbers are odd.

State –True or false    The whole number 13 lies between 11 and 12.

Fill in the Blanks: The smallest composite number is ______.

1 million = _____ lakh

What is the greatest prime number between 1 and 20?

SECTION:C (4 x 2 = 8 Marks)

Place commas correctly and write the numerals:- Seventy three lakh seventy five thousand three hundred seven.

Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches.He wishes to complete 10,000 runs. How many more runs does he need?

Find the sum by suitable rearrangement:-       837+208+363

Write first five multiples of 8.

SECTION:D ( 3 x 4 = 12 Marks )

Write all the factors of 20?

Write the prime factorization of 36

Find the product using suitable property:-       854 x 102.

A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

SECTION:E ( 2 x 5 = 10 Marks )

The distance between the school and the house of a student is 1km 875m . Everyday she walks both ways.Find the total distance covered by her in five days

Find the HCF of 18,54 and 81

	What is the measure of right angle?           a) 75°         b) 0° c) 90°           d) 180°
	How many lines can pass through one given point?            a) 0       b) 1         c) 2        d) infinitely
	In the given diagram, name the point in the interior of ∠DOE              a) C              b) E                c) B               d) A
	The predecessor of 10000 is           a) 99999            b) 9999                c) 100001             d) 10001
	The Smallest six digit number is ____           a) 999999    b) 99999           c) 100000       d) 1000000
	State –True or false    All prime numbers are odd.           a) 999999    b) 99999           c) 100000       d) 10000
	The whole number _____ lies between 11 and 12.           a) 10           b) 11                 c) 13               d) 14
	Fill in the Blanks: (-8) +  ____ = 0.          a) 1              b) 8                  c) (-8)              d) 0
	1 lakh  = _____ ten thousand         a) 999999    b) 99999           c) 100000       d) 10000
	The smallest prime number is _______________.         a) 1              b) 4                  c) 2              d) 0
	______ is neither Prime nor Composite.         a) 0              b) 1                  c) 2              d) 4
	Which is the smallest whole number? a) 0              b) 1                  c) 2              d) 4
	9999+1=____ a) 9998             b) 10000                  c) 100000             d) 1000
	Write the fraction representing the shaded portion a) 25             b) 13                  c) 14              d) 24
	35 = 20  Replace by the correct number 5              b) 3                  c) 15              d) 6
	Identify open curve. a)    b)            c)        d)
	SECTION:B (Case Base study) (10 x 1 = 10 Marks)
	Meeting Meetings are the most effective way of making decisions and motivating participants. In meetings participants can contribute and share their thoughts and as a result, will feel more comfortable with the tasks.  A Teacher of school organizes a meeting with junior students, once in 3 weeks i.e.,in 21  days and once in 4 weeks, i.e., in 28 days with senior students. In a meeting both type of students were given a project to prepare flowers with the use of a shiny paper. There were 456 flowers in a carton and 684 flowers in another carton of junior students and senior students respectively. If he takes a meeting with them together on 1st of July 2020.
	Which one is more important to run an effective meeting:-  (a)Limited Time Duration   (b)Set an Agenda  (c)Limited number of participants
	What is the purpose of conducting a meeting?
	After how many days/week shall they be holding the meeting together?
	What is the date of next meeting held together?
	Find the maximum capacity of a carton which can hold the flower of either cartons in exact number of times?
	Cuisenaire Rods can represent various fractions, depending on the choice of the unit rod.  For example, if the unit rod is brown, then the purple rod represents 1/2 .  Use the Cuisenaire Rods in question 1 and 2.
	What fraction is represented by the green rod if the blue rod is the unit rod?  (a) 1/ 3          (b) 2/3          (c) ¾        (d) 3/7
	If the dark green rod represents 3/4, what is the unit rod?
	What fraction is represented by the yellow rod if the black rod is the unit rod?
	What is the unit rod if the purple rod represents 2/3?
	If the unit rod is the orange rod, what fraction is represented by the black rod?
	SECTION:C (Short Answers-1) (5 x 2 = 10 Marks)
	Place commas correctly and write the numerals:- Seven crore fifty-two lakh twenty-one thousand three hundred two.
	How many whole numbers are there between 32 and 53?
	Where will the hand of a clock stop if it starts at 12 and make 12 of a revolution, clockwise?
	Write all the integers between the given pairs 0 and (-7).
	What fraction of a day is 8 hours?
	SECTION:D (Short Answers-2) ( 8 x 3 = 24 Marks )
	In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election?
	Write the three whole numbers occurring just before 10001.
	Find the HCF of 18,54 and 81
	Name the angles in the given figure
	Name the types of following triangles: (a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm. (b)ABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm. (c) PQR such that PQ = QR = PR = 5 cm.
	Using the number line write the integer which is 3 more than 5.
	Add without using number line:  (a) 11 + (–7) (b) (–13) + (+18)
	Express the following as improper fractions: 734
	SECTION:E (Long Answer) ( 5 x 4 = 20 Marks )
	A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his  answer greater than the correct answer?
	Determine the smallest 3-digit number which is exactly divisible by 6, 8 and 12.
	Use the figure to name:  (a) Five points       (b) A line (c) Four rays     (d) Five line segments
	Measure and classify each angle:
	Find:  (a) (–7) – 8 – (–25)   (b)(–13) + 32 – 8 – 1
SECTION:A (10 x 1 = 10 Marks)
What is the measure of right angle?           a) 75°         b) 0° c) 90°           d) 180°
How many lines can pass through one given point?            a) 0       b) 1         c) 2        d) infinitely
In the given diagram, name the point in the interior of ∠DOE              a) C              b) E                c) B               d) A
The predecessor of 10000 is           a) 99999            b) 9999                c) 100001             d) 10001
The Smallest six digit number is ____           a) 999999    b) 99999           c) 100000       d) 1000000
State –True or false    All prime numbers are odd.           a) 999999    b) 99999           c) 100000       d) 10000
The whole number _____ lies between 11 and 12.           a) 10           b) 11                 c) 13               d) 14
Fill in the Blanks: (-8) +  ____ = 0.          a) 1              b) 8                  c) (-8)              d) 0
1 lakh  = _____ ten thousand         a) 999999    b) 99999           c) 100000       d) 10000
Identify open curve. a)    b)            c)        d)
SECTION:B (10 x 1 = 10 Marks)
Meeting Meetings are the most effective way of making decisions and motivating participants. In meetings participants can contribute and share their thoughts and as a result, will feel more comfortable with the tasks.  A Teacher of school organizes a meeting with junior students, once in 3 weeks i.e.,in 21  days and once in 4 weeks, i.e., in 28 days with senior students. In a meeting both type of students were given a project to prepare flowers with the use of a shiny paper. There were 456 flowers in a carton and 684 flowers in another carton of junior students and senior students respectively. If he takes a meeting with them together on 1st of July 2020.
Which one is more important to run an effective meeting:-  (a)Limited Time Duration   (b)Set an Agenda  (c)Limited number of participants
What is the purpose of conducting a meeting?
After how many days/week shall they be holding the meeting together?
What is the date of next meeting held together?
Find the maximum capacity of a carton which can hold the flower of either cartons in exact number of times?
Cuisenaire Rods can represent various fractions, depending on the choice of the unit rod.  For example, if the unit rod is brown, then the purple rod represents 1/2 .  Use the Cuisenaire Rods in question 1 and 2.
What fraction is represented by the green rod if the blue rod is the unit rod?  (a) 1/ 3          (b) 2/3          (c) ¾        (d) 3/7
If the dark green rod represents 3/4, what is the unit rod?
What fraction is represented by the yellow rod if the black rod is the unit rod?
What is the unit rod if the purple rod represents 2/3?
If the unit rod is the orange rod, what fraction is represented by the black rod?
SECTION:C Short Answers-1 (6 x 2 = 12 Marks)
Place commas correctly and write the numerals:- Seven crore fifty-two lakh twenty-one thousand three hundred two.
How many whole numbers are there between 32 and 53?
Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.
Where will the hand of a clock stop if it starts at 12 and make 12 of a revolution, clockwise?
Write all the integers between the given pairs 0 and (-7).
What fraction of a day is 8 hours?
SECTION:D Short Answers-2 ( 8 x 3 = 24 Marks )
In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election?
Write the three whole numbers occurring just before 10001.
Find the HCF of 18,54 and 81
Name the angles in the given figure
Name the types of following triangles: (a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm. (b)ABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm. (c) PQR such that PQ = QR = PR = 5 cm.
Using the number line write the integer which is 3 more than 5.
Add without using number line:  (a) 11 + (–7) (b) (–13) + (+18)
Express the following as improper fractions: 734
SECTION:E Long Answers-4 ( 6 x 4 = 24 Marks )
A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his  answer greater than the correct answer?
Find the product using suitable properties: 738 x 103
Determine the smallest 3-digit number which is exactly divisible by 6, 8 and 12.
Use the figure to name:  (a) Five points       (b) A line (c) Four rays     (d) Five line segments
Measure and classify each angle:
Find:  (a) (–7) – 8 – (–25)   (b)(–13) + 32 – 8 – 1

	SECTION:A (1 x 5 = 5 Marks)
	One crore = _________ Million.           a) 10         b) 100 c) 1           d) 1000
	The next  natural number after 10999 is            a) 19999       b) 11000         c) 10000        d) 100000
	The smallest Composite number is           a) 1              b) 2                 c) 3               d) 4
	How many lines can pass through one given point?           a) 1              b) 2                 c) 3               d) Infinite
	What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 3 to 9          a) 12            b) 34               c) 23             d) 14
	SECTION:B (1 x 3 = 3 Marks)
	LCM of 9 and 4 is _______
	What is the measure of a right angle?
	A number which has only two factors is called a _______________.
	SECTION:C (1 x 2 = 2 Marks)
	Where will the hour hand of a clock stop if it starts from 6 and turns through 1 right angle?
	SECTION:D ( 3 x 2 = 6 Marks )
	a) Which direction will you face if you start facing East and make 112 of a revolution clockwise? b) What part of a revolution have you turned through if you stand facing East and turn clockwise to face North?
	Find the least number which when divided by 6, 15 and 18, leave remainder 5 in each case.
	SECTION:E ( 1 x 4 = 4 Marks )
	Use the figure to name: (a) Five points    (b) A line   (c) Four rays   (d) Five line segments
SECTION:A  Multiple Choice Questions  (10 x 1 = 10 Marks)
Which is greater of the following numbers? (a) 0.008 (b) 0.08 (c) 0.0008 (d) 0.8
The perimeter of Square of side 4 cm a) 8 cm           (b) 16 cm (c) 18 cm           (d) none of these.
The  perimeter of a triangle of sides 3 cm, 4 cm and 5 cm (a) 13 cm               (b)  60 cm     (c) 24 cm                 (d) 12 cm
The  perimeter of an equilateral triangle of sides 12 cm  is (a) 30 cm                (b)  60 cm      (c) 27 cm                 (d) 36 cm
Two tens and nine-tenths = (a) 20.9         (b) 2.09           (c) 209           (d) none of these.
4 cm 2 mm = (a) 4.2 cm         (b) 0.42 cm (c) 4.02 cm           (d) 42.02 cm
Subtract: ₹18.25 from ₹20.75  (a)₹4.50         (b) ₹2.25           (c) ₹2.50           (d) ₹1.55
Area of rectangle with length 5cm and breadth 4 cm is  (a) 9 cm²         (b) 24 cm² (c) 20 cm²         (d)   15 cm²
1 paise = ____ rupee. 0.1              (b) 0.001         (c) 0.01                    (d) 1.01
Perimeter of a rectangle is ____ l+b              (b) l x b            (c) 2(l+b)                  (d) 2lb
SECTION:B  Very Short Answer Type Questions  (10 x 1 = 10 Marks)
The sum of  0.007 + 8.5 + 30.08 = ______
20+9+410 = ___
A ________ represents data through pictures of objects.
A _________ is a collection of numbers gathered to give some information.
Which is greater 1.23 or 1.2 ?
Express 3750g as Kg using decimals
Find the value of : 9.756 – 6.28
The distance covered along the boundary forming a closed figure is called ___
Area of a square=_________
The surface enclosed by a closed figure is called _____
SECTION:C  Short Answer Type Questions  (4 x 2 = 8 Marks)
Express as rupees using decimals. 725paise   (b) 50 rupees 90 paise
The area of a rectangle garden 50m long is 300 m2 . Find the width of the garden.
Express as km using decimals. (a) 8m   (b) 70 km 5 m
The perimeter of a regular pentagon is 100 cm. How long is its each side?
SECTION:D  Long Answer Type Questions  ( 4 x 3 = 12 Marks )
A floor is 5m long and 4m wide. A square carpet of sides 3m is laid on the floor. Find the area of the floor that is not carpeted.
Rani had ₹18.50. She bought one ice cream for ₹11.75. How much money does she have now?
Anita’s mother gave her ₹20.50 and her father gave her ₹25.80, find the total amount given to Radhika by her parents.
Following pictograph shows the number of tractors in five villages. Observe the pictograph and answer the following questions. (a) Which village has the minimum number of tractors? (b) How many more tractors village C has as compared to village B? (c) What is the total number of tractors in all. the five villages?

SECTION:A  Multiple Choice Questions  (10 x 1 = 10 Marks)

1 paise = ______ (a) 0.1 rupee     (b) 0.01 rupee (c) 0.001 rupee (d) 0.0001 rupee

The perimeter of the regular hexagon =_____ a) 6 x length of a side  (b) 4 x side           (c) 5 x side           (d) 3 x side

The  area of the square whose side 5m is ______ (a) 20 Sq.m                 (b)  50 Sq.m         (c) 25 Sq.m            (d) 100 Sq.m

The  perimeter of an equilateral triangle of sides 9 cm  is (a) 30 cm                      (b)  60 cm            (c) 27 cm                 (d) 36 cm

Leela is Radha’s younger sister. Leela is 4 years younger than Radha.then Leela’s age in terms of Radha’s age ________ (a) x                           (b) 4x           (c) x+4                       (d) x-4

2 cm 2 mm = (a) 2.2 cm         (b) 0.22 cm (c) 2.02 cm           (d) 22.02 cm

Add: 0.7+0.08  (a) 0.78         (b) 7.8           (c) 0.078           (d) 70.08

Area of rectangle with length 3 cm and breadth 4 cm is  (a) 7 cm²         (b) 24 cm² (c) 20 cm²         (d)   12 cm²

The rule for Number of match sticks required for the pattern of letter T is  = ____ . 1n              (b) 2n         (c) 3n                    (d) 4n

The side of a square is a. then its Perimeter  is ____ 4x a             (b) a x a            (c) 2(a)                  (d) 3 x a

SECTION:B  Very Short Answer Type Questions  (10 x 1 = 10 Marks)

The sum of  0.007 + 8.5 + 30.08 = ______

20+9+410 = ___

A ________ represents data through pictures of objects.

A _________ is a collection of numbers gathered to give some information.

Which is greater 1.23 or 1.2 ?

Area of a Rectangle =_________

The distance covered along the boundary forming a closed figure is called ___

A bird flies 1 km in one minute. Then the distance covered by the bird in terms of its flying time in minutes is ________________

Area of a square=_________

Number of match sticks required to make one triangle is ___.

SECTION:C  Short Answer Type Questions  (4 x 2 = 8 Marks)

Find the Sum of 25.65+9.005+3.7

A table- top measures 2m by 1 m 50 cm. what is its area in square metres?

Mother has made laddus. She gives some laddus to guests. Still 5 laddus remain. If the number of laddus mother gave away is l, how many laddus did she make?

Find the side of the square whose perimeter is 20 m.

SECTION:D  Long Answer Type Questions  ( 4 x 3 = 12 Marks )

A floor is 5m long and 4m wide. A square carpet of sides 3m is laid on the floor. Find the area of the floor that is not carpeted.

Rani had ₹18.50. She bought one ice cream for ₹11.75. How much money does she have now?

Family tree Akash , decides to make his family tree on a wall . His family members are grandparents, father and mother, brother and sister. He wants to write their ages along with photos. On inquiry about the ages of his family members , he gets information such that Q1. If present age of grandfather is 48 years then present age of Akash is a) 40 b)14 c) 4 d)none of these Q2. Write the expression for present age of grandmother. Q3. Write the Expression for ages of given family members. s.no Family member Present ages 1 Sister 2 Father 3 Mother

In a village six fruit merchants sold the following number of fruit baskets in a particular season: Observe this pictograph and answer the following questions:  (a) Which merchant sold the maximum number of baskets?  (b) How many fruit baskets were sold by Anwar?  (c) The merchants who have sold 600 or more number of baskets are planning to buy a godown for the next season. Can you name them?

SECTION:A (10 x 1 = 10 Marks) MCQ’s & VSA

Which of the following is a prime number?           a) 15         b) 37 c) 81           d) 45

The greatest five digit number is            a) 100000       b) 99999         c) 10000        d) 9999

The smallest whole number is           a) 1              b) 2                 c) 3               d) 0

The successor of 100199 is           a) 100201           b) 110000               c) 100200            d) 100198

999 + 1 = ________           a) 100         b) 1000           c) 10000       d) 100000

State –True or false    All natural numbers are whole numbers.

State –True or false    2 is the only even prime number.

Fill in the Blanks: The smallest composite number is ______.

1 crore = _____ million

How many whole numbers are there between 32 and 53?

SECTION:B (4 x 2 = 8 Marks) SHORT ANSWER -1

Place commas correctly and write the numerals:- Seventy three lakh seventy five thousand three hundred seven.

A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days.

Write the next two natural numbers after 10999.

Write first five multiples of 9.

SECTION:C ( 2 x 3 = 06 Marks ) SHORT ANSWER-2

Write all the factors of 36.

Find the first three common multiples of 6 and 8. OR A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

SECTION:D ( 1 x 4 = 04 Marks ) LONG ANSWER

The distance between the school and the house of a student is 1km 875m.Everyday she walks both ways. Find the total distance covered by her in five days OR Find the HCF of 70,105 and 175

SECTION:E ( 5+4+3 = 12 Marks ) CASE BASED STUDY

CRICKET  The 2011 ICC Cricket World Cup was the tenth Cricket World Cup. It was played in India, Sri Lanka, and Bangladesh (for the first time). India won the tournament, defeating Sri Lanka by 6 wickets in the final at Wankhede Stadium in Mumbai, thus becoming the first country to win the Cricket World Cup final on home soil. Runs scored by the batsman of both the teams in this match were as follows: S.No NAME OF SRI LANKAN BATSMAN RUN SCORED NO OF BOUNDARIES HIT 1  U. THARANGA  2 0 2  T. DILSHAN 33  3 3  K. SANGAKKARA  48  5 4  M. JAYAVARDENE  103  13 5  T. SAMARAWEERA  21  2 6  CK. KUPUGEDERA  1 0 7  N. KULASEKARA  32  6 8  T. PERERA  22 3 S.No NAME OF INDIAN BATSMAN RUN SCORED NO OF BOUNDARIES HIT 1  VIRENDER SAHVAG  0  0 2  SACHIN TENDULKAR  18  2 3  GAUTAM GAMBHIR  97  9 4  VIRAT KOHLI  35 4 5  M.S. DHONI  91 8  6  YUVRAJ SINGH  21 2

Which team won 2011 cricket world cup final match? (a) Sri Lanka             (b) India             (c) England       (d) Australia

How many players of Indian team scored equal to smallest whole number? (a) 2                          (b) 3                  (c) 4                  (d) 1

How many more runs M. S. Dhoni need to reach highest two digit number? (a) 10                        (b) 9                   (c) 8                (d) 7

Write the name of player of team India, who did not score boundary. _____

In Sri Lanka team, score of which player is predecessor of score of T. PARERA?

Things Consumption Price Cake 1 Rs. 800 Sweets 12 kg Rs. 425 per kg Apples 28 kg Rs. 150 per kg Candles 14 Rs. 2 for one Burger 125 Rs. 15 for one Pencil Boxes 125 Rs. 24 for one box Note-books 125 Rs. 18 for one Birthday Party Ram invited about 125 friends and relatives to participate in the function. For the birthday party, the following items were arranged.

How much total money did Ram spent on sweets, candles and Cake?  (a) Rs. 5,900         (b) Rs. 5,828      (c) Rs. 5,728        (d) Rs. 5,928

In refreshment, Ram served a piece of sweet, a burger, an apple and a small piece of cake to each guest. How much total money he spent on the refreshment? (a)11975               (b) 10000           (c) 12000             (d) 50000

For which item did he spent less? (a) Cake               (b) sweets          (c) Candles         (d) burger

After the birthday party, Ram distributed one pencil box and one note-book to each guest. How much money, in all, he spent on this? (a) 5000               (b) 4000            (c) 5100                (d) 5250

Section A (VSA)             Choose the correct answer (10 x 1 = 10 marks)

Q1. The greatest 3 digit number is ________

a) 999 b) 9999 c) 99 d) 99999

Q2. Which of the following number is equal to 1 lakh?

a) 1 thousand b) 10 thousand c) 100 thousand d) 1000 thousand

Q3. How many lakh will make 1 million?

a) 10 b) 100 c) 1000 d) 10000

Q4. Natural  Numbers starts from _____

a) 0 b) -1 c) 1 d) 1/2

Q5. The smallest 3 digit number is __ *

a) 99 b) 100 c) 999 d) 1000

Fill in the blanks:

Q06. 1 lakh = _______________ ten thousand

Q07. 1 million = _______________ hundred thousand

Q08. 1 crore = _______________ ten lakh

Q09. 1 crore = _______________ million

Q10. 1 million = _______________ lakh

Section B (Short Answers)              Answer the question (5 x 2 = 10)

Q11. Insert commas suitably and write the names according to International 

System of numeration 78921092

Q12. The distance between the school and the house of a student’s house is 1 km 875 m. Every day she walks both ways. Find the total distance covered by her in six days.

Q13. Insert commas suitably and write the names according to Indian 

System of numeration 87595762

Q14. Place commas correctly and write the numerals 

Seventy three lakhs seventy five thousand three hundred seven

Q15. Sekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. how many more runs does he need?

Section- A- Multiple Choice Questions ( 12 x 1 = 12 Marks )

1. The equivalent fraction of 3/5 having denominator 30 is

(a) 5/30 (b) 15/30 (c) 18/30 (d) 3/30

2.  Which is greater of the following numbers?

(a) 0.004 (b) 0.04 (c) .0004 (d) 0.4

3. The perimeter of Square of side 4 cm

a) 8 cm (b) 16 cm (c) 18 cm (d) none of these.

4. The  perimeter of a triangle of sides 3 cm, 4 cm and 5 cm

(a) 13 cm (b)  60 cm (c) 24 cm (d) 12 cm

5.  The  perimeter of an equilateral triangle of sides 12 cm  is

(a) 30 cm (b)  60 cm (c) 27 cm (d) 36 cm

6. The equivalent fraction of 5/8 is

(a) 10/24 (b)  5/15 (c) 30/48 (d)  8/18

7. Which of the following is a proper fraction?

(a) 8/7 (b) 1/8 (c) 11/4 (d) none of these

8. Two tens and 2-tenths =
   (a) 20.2 (b) 2.02 (c) 202 (d) none of these.

9. 2 cm 2 mm =
   (a) 2.2 cm (b) 0.22 cm (c) 2.1 cm (d) 1.2 cm.

10. Subtract: ₹18.25 from ₹20.75

 (a)4.50 (b) 2.25 (c) 2.50 (d) 1.55

11. Area of rectangle with length 5cm and breadth 4 cm is

 (a) 9 cm² (b) 24 cm² (c) 20 cm² (d)   15 cm²

12. Javed was given 5/7 of a basket of oranges. What fraction of oranges was left in the basket?

(a) 1/7 (b) 2/7 (c) 3/7 (d) 4/7

                Section- B- Very Short Answer Type Questions ( 8 x 1 = 8 Marks )

13. Draw a number line and locate the points on them:1/2 and 1/4.

14. Solve : 2/3 +1/7

15. Which is greater 0.5 or 0.05?. 

16. Express 2g as Kg using decimals. 

17. Find the value of : 18.5 – 6.79.

18. .The distance covered along the boundary forming a closed figure is called ………….

19. Area of square = …………..

20. The surface enclosed by a closed figure is called…………….

Section- C- Short Answer Type Questions ( 4 x 2 = 8 Marks )

21. Javed was given 5/7 of a basket of oranges. What fraction of oranges was left in the basket? A table-top measures 2 m 25 cm by 1 m 50 cm. What is the perimeter of the table-top?

22. Kiran dyes dresses.She had to dye 30 dresses.She has so far finished 20 dresses.What fraction of dresses has she finished?

23. Express as rupees using decimals.
    (a) 56paise (b) 7 paise

24. Express the following as mixed fractions.

 (a) 20/3 (b) 17/7 (c) 35/9 (d) 28/5

Section- D- Long Answer Type Questions ( 4 x 3 = 12 Marks )

25. (a)The perimeter of a regular pentagon is 100 cm. How long is its each side?

        (b) Find the cost of fencing a square park of side 250 m at the   rate of Rs 20 per metre.

26. Find the sum in each of the following:
    (a) 0.007 + 8.5 + 30.08
    (b) 15 + 0.632 + 13.8
    (c) 27.076 + 0.55 + 0.004

27. Anita’s mother gave her ₹20.50 and her father gave her ₹25.80, find the total amount given to Radhika by her parents.

28. Following pictograph shows the number of tractors in five villages. Observe the pictograph and answer the following questions.

(a) Which village has the minimum number of tractors?
(b) How many more tractors village C has as compared to village B?
(c) What is the total number of tractors in all. the five villages?

Part 1 : Choose the correct answer (10 x 1 = 10 marks)

Q1. The greatest of the numbers 3146, 3157, 31548, 31692 is

a) 314 b) 57 c) 5486 d) 60000

Q2. Which of the following number is equal to 1 lakh?

a) 1 thousand b) 10 thousand c) 100 thousand d) 1000 thousand

Q3. How many lakh will make 1 million?

a) 10 b) 100 c) 1000 d) 10000

Q4. How many million will make 1 crore?

a) 10 b) 100 c) 1000 d) 10000

Q5. The greatest 3 digit number is __ *

a) 99 b) 100 c) 999 d) 1000

Q6. The smallest of the numbers 7536,7521,7548,7532 is ___

a) 7536 b) 7521 c) 7548 d) 7532

Q7. Arrange in Descending order 123,132,231.1234

a) 123,132,231,1234 b) 1234,231,123,132

c) 1234,231,132,123 d) 123,1234,132,231

Q8. Arrange in Ascending order 4567, ,456,45678

a) 45678,456,4567.45 b) 45,456,4567,45678

c) 45678,4567,456,45 d)  45,456,45678,4567

Q9. The Roman numeral D is equal to

a) 10 b) 50 c) 100 d) 500

Q10. The Number 10 represents in Roman numeral is

a) V b) X c) M d) I

Part 2 : Answer the question (5 x 2 = 10)

Q11. Write in Roman Numerals 69 & 98

Q12. Estimate the following products using general rule 578 X161

Q13. Insert commas suitably and write the names according to Indian 

System of numeration 87595762

Q14. Place commas correctly and write the numerals 

Seventy three lakhs seventy five thousand three hundred seven

Q15. Sekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. how many more runs does he need?

SECTION- A

(Multiple Choice Questions)     Each question carries 1 mark

1. The largest 4-digit number, using any one digit twice, from digits 5, 9, 2 and 6 is

(A) 9652 (B) 9562 (C) 9659 (D) 9965

2. 1 crore is equal to

(A) 2 millions (B) 10 millions. (C) 100millions. (D) 1000 millions.

3. Which of the following statements is true?

(A) Zero is the smallest natural number. (B) 600 is the successor of 599

(C) All whole numbers are natural numbers. (D) 400 is the predecessor of 399.

4. Which of the following statements is not true?

(A) All natural numbers are whole numbers.

(B) The natural number 1 has no predecessor.

(C) The whole number 0 has no predecessor.

(D) The successor of a two digit number is always a two digit number.

5. The product of a non-zero whole number and its successor is always

(A) an even number (B) an odd number (C) a prime number (D) divisible by 3

6. Number of even numbers between 58 and 80 is

(A) 12 (B) 11 (C) 10 (D) 13

7. Which of the following statements is not true?

1. 1 is a factor of every number.

2. every number is a factor of itself.

3. every factor of a number is an exact divisor of that number.

4. every factor is greater than or equal to the given number.
   

8. Which of the following statements is true?

1. number of factors of a given number are infinite.

2. every multiple of a number is less than or equal to that number.

3. the number of multiples of a given number is infinite.

4. every number is not a multiple of itself.

9. The largest number which always divides the sum of any pair of consecutive odd numbers is

(A) 2 (B) 4 (C) 6 (D) 8

10. Number of line segments in figure is

(A) 5 (B) 10 (C) 15 (D) 20

11. The number of angles in the given figure is

(A) 3 (B) 4 (C) 5

12. Where will the hand of a clock stop if it starts at 5 and makes

(A) 5	1	(B)	7	(C) 8
	4		4

13. Which of the following is not true

1. Each angle of a rectangle is a right angle.

2. The opposite sides of a rectangle are equal in length.

3. All the sides of a parallelogram are of equal length.

4. All the sides of a rhombus are of equal length.

(D) 6

14 of a revolution, clockwise?

(D) 9

14. The integer which is 4 more than –1 is

(A) 3 (B) 5 (C) –4 (D) –3

Section –B

[This section comprises of very short answer type questions (VSA) of 2 marks each]

15. Rakesh is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?

16. Find the HCF of 18, 54 and 81.

17. Find the least number which when divided by 6, 15 and 18 leave remainder 5 in each case.

18. Find the value of : (– 13) + 32 – 8 – 1

Section – C

[This section comprises of short answer type questions (SA) of 3 marks each]

19. Find the common factors of 75, 60 and 210.

20. Illustrate, if possible, each one of the following with a rough diagram:

(a) A closed curve that is not a polygon.

(b) An open curve made up entirely of line segments.

(c) A polygon with two sides.

21. Find the angle measure between the hands of the clock in each figure :

22. Name the types of following triangles:

(а) ΔLMN with m ∠ L = 30°, m ∠ M = 70° and m ∠ N = 80°.

2. ΔABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.

3. ΔPQR such that PQ = QR = PR = 5 cm.

23. Represent the following numbers as integers with appropriate signs.

1. An aeroplane is flying at a height two thousand metre above the ground.

2. A submarine is moving at a depth, eight hundred metre below the sea level.

3. Withdrawal of rupees seven hundred.

Section –D

[This section comprises of long answer type questions (LA) of 5 marks each]

24. To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?

25. Match the following :

(i) Straight angle	(a) Less than one-fourth of a revolution
(ii) Right angle	(b) More than half a revolution
(iii) Acute angle	(c) Half of a revolution
(iv) Obtuse angle	(d) One-fourth of a revolution
(v) Reflex angle	(e) Between	1	and	1	of a revolution
				2
	4

(f) One complete revolution

26. Find the sum of :

(a) 137 and – 354 (b) – 52 and 52

3. – 312, 39 and 192 (d) – 50, – 200 and 300 (e) (37) + (– 2) + (– 65) + (– 8)

Section –E

[This section comprises of 2 case- study/passage based questions of 4 marks each with sub parts. ]

27. Given below are the distances (by road) between 

4 major cities of India.

1	Delhi–Kolkata	1,453,000 m
2.	Chennai–Mumbai	1,290,000 m
3.	Kolkata–Chennai	1,684,000 m
4.	Mumbai–Delhi	1,419,000 m

1. Which among the above pair of cities have longest distance between them?

2. Write distance between Delhi-Kolkata according to international system of Numeration.

28. Two tankers contain 850 litres and 680 litres of kerosene oil respectively.

1. Find the maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times.

2. In how many times first tanker can be filled up using that container?
   

ANSWERS

1. (D) 9965 2. (B) 10 millions.

3. (B) 600 is the successor of 599

4. (D) The successor of a two digit number is always a two digit number

5. (A) an even number

6. (C) 10

7. (D) every factor is greater than or equal to the given number.

8. (B) every multiple of a number is less than or equal to that number.

9. (B) 4		10.	(B) 10	11.	(D) 6	12.	(C) 8
13.	(C) All the sides of a parallelogram are of equal length.					14.	(A) 3
15.	3020	16.	9	17.	95	18.	10
19.	1, 3, 5 and 15.			20.
21.	90°, 30°, 180°			22. acute triangle, scalene triangle, equilateral triangle
23.	(a) + 2000 (b) – 800 (c) – 700			24.	18 shirts, length of remaining cloth is 1m 30cm.

25. (i) →(c); (ii) → (d); (iii) → (a); (iv) → (e); (v) → (b).

26. (a) – 217 (b) 0 (c) – 81  (d) 50 (e) –38

27. (i) Kolkata- Chennai (ii) One million four hundred and fifty three thousand metres.

28. (i) 170, (ii) 5