Q)4 का अपबर्त्यहरू के के हुन् ? (Which are multiples 4?) 6 का अपबर्त्यहरू के के हुन् ?( Which are multiples 6 ?)

4 का अपबर्त्यहरू Multiples 4 ,(M 4 )={4,8,12,16,20,24,28,32,....,}

6 का अपबर्त्यहरू Multiples 6 ,(M 6 )={6,12,18,24,30,36,42,48,....,}

4 का अपबर्त्यहरू( Multiples 4 ,(M 4 )={4,8,12,16,22,24,28,32,....}

6 का अपबर्त्यहरू Multiples 6 ,(M 6 )={6,12,18,22,30,36,42,48,....,}

Q)Fill in the blanks choosing '<' , '>' and '=' i) $$\frac{2}{5}$$ □ $$\frac{3}{5}$$ ii) $$\frac{1}{5}$$ □ $$\frac{1}{2}$$

ii) $$\frac{1}{5}>\frac{1}{2}$$

Q)ठिक भए (True) र वेठिक भए( False) लेख्नुहाेस । यदि S ले सार्क देशहरूकाे समूहलाइ जनाउछ भने , पाकिस्तान∈ S … (Write T for correct and F for incorrect., If S represents set of SAARC countries then Pakistan ∈ S ……)

पाकिस्तान∈ S ठिक ( Pakistan ∈ S true)

पाकिस्तान∈ S वेठिक ( Pakistan ∈ S False)

) 10 र 15 का गुणनखन्डहरूलाइ चित्रमा प्रश्तुत गरी म.स. र ल.स निकाल्नुहाेस।

$$10=2\times5$$ $$15=3\times5$$ . $$H.C.F=5$$ $$म.स.=साझा\ गुणनखन्ड=5$$

$$ल.स.=साझा\ गुणनखन्ड\ \timesवाकि\ गुणनखन्ड$$ = 5 X2 X 3 = 30 $$L.C.M=2X5X3=30$$

10=2X5 $$15=3\times5$$ म.स. $$\left(H.C.F\right)=2X3X5=30$$

$$10=2\times5$$ $$15=5\times3$$ ल.स. $$\left(L.C.M\right)=5$$

रूपकले एउटा केकको ⅕ भाग विहान र सोहि केकको ⅗ बेलुकी खाएछन् भने कुन समयमा धेरै केक खाएछन्?पत्ता लगाउनुहोस्।(Rupak eats ⅕ part of Cake in morning and same Cake's ⅗ part in which time he eats more Cake ?.)

केकको वेलुकि खाएकाे भाग धेरै छ। $$\frac{1}{5}

केकको वेलुकि खाएकाे भाग थाेरै छ। $$\frac{1}{5}>\frac{3}{5}$$

What is area of rectangle given along side? What is perimeter of rectangle given along side?

perimeter of rectangle(P)=2(a+b)

perimeter of rectangle(P)=2(a-b)

complementary angle of 60°=30°

complementary angle of 60°=120°

Express (4b) 4 as contineous product form.

Solution:(4b) $$\left(4b\right)^4$$ =4bx4bx4bx4bx4b

लम्वाइ=4 inch र चाैडाइ= 3 inch नाप भएको आयतको परिमिति र क्षेत्रफल निकाल्नुहाेस :(Find perimter,area of rectangle whose side length=4 inch and breadth=3 inch

Solution: आयतको लम्वाइ(length)=4 inch आयतको चाैडाइ(breadth)=5 inch आयतको परिमिति (perimter of rectangle)=2(l+b) =2(4 inch+3 inch) =2(7 inch) =14 inch

Solution: लम्वाइ(length)=4 inch चाैडाइ(breadth)=5 inch आयतको क्षेत्रफल (Area of rectangle)=l x b =(4 inchx3 inch) = $$12\ inch^2$$

Solution: आयतको लम्वाइ(length)=4 inch आयतको चाैडाइ(breadth)=5 inch आयतको क्षेत्रफल (Area of rectangle)=2(l+b) =2(4 inch+3 inch) =2(7 inch) =14 inch

Solution: लम्वाइ(length)=4 inch चाैडाइ(breadth)=5 inch आयतको परिमिति (perimter of rectangle)=l x b =(4 inchx3 inch) = $$12\ inch^2$$

Counting square, Area of rectangle is $$\ 12\ inch^2$$

find the value of x from given figure. which are correct answer?

1 $$\because\angle\ AOB\ +\ \angle\ BOC=90^o\left[complemetary\ angles\ sum\right]$$ or,2x+x= $$90^o$$ or, 3x= $$90^o$$ or,x= $$\frac{90^o}{3}$$ $$\therefore x=30^o$$

$$\because\angle\ AOB\ +\ \angle\ BOC=180^o\left[complemetary\ angles\ sum\right]$$ or, x+2x=180 o or,3x=180 o or,x= $$\frac{180^o}{3}$$ $$\therefore$$ x=60 o

Which are correct answers?

क)उत्तर, <PIJ+<JIG=90°[Complementary angles sum] or,38°+x°=90° or, x°=90°-38° x°=52°

ख)उत्तर, <AOC+<BOC=90°[Complementary angles sum] or,44°+x°=90° or, x°=90°-44° x°=46°

ग)उत्तर, <RBJ+<JBC=180°[Supplementary angles sum] or,65°+x°=180° or, x°=180°-65° x=115°

घ)उत्तर, <ACD+<BCD=180°[Supplementary angles sum] or,85°+x°=180° or, x°=180°-85° x°=95°

घ)उत्तर, <ACD+<BCD=90°[Supplementary angles sum] or,85°+x°=90° or, x°=90°-85° x°=5°

खाली ठाउमा $$\in\ वा\notin$$ उपयुक्त छानेर लेख्नुहाेस (choose the correct symbol( $$\in or\ \notin$$ )and fill in the blanks of belowquestion.) I)7………{1,2,3,4,5} ii)3………{1,2,3,4,5} iii)14………{1,2,3,4,5} iv)13………{1,2,3,4,5}

i)Solution: 7 $$\notin$$ {1,2,3,4,5} II) Solution: 3 $$\in$$ {1,2,3,4,5}

iii)Solution: 14 $$\notin$$ {1,2,3,4,5} iv)Solution: 13 $$\notin$$ {1,2,3,4,5}

i)Solution: 7 $$\in$$ {1,2,3,4,5} II) Solution: 3 $$\notin$$ {1,2,3,4,5}

iii)Solution: 14 $$\in$$ {1,2,3,4,5} iv)Solution: 13 $$\in$$ {1,2,3,4,5}

class 6 math 2080

Authored by Dor Bahadur Aryal

Mathematics

6th Grade

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MULTIPLE CHOICE QUESTION

1 min • 5 pts

तल दिइएका सङ्ख्याको सङ्कलनलाई अवलोकन गरी सहि विकल्पमा छाेयर निम्नलिखित प्रश्नहरूको सहि उत्तर दिनुहोस।( click on below best option Answers below questions by Observing below collected numbers)
4,6,8,9,10,12,14,15,16,18,20
क)माथी दिइएको सङ्ख्याको सङ्कलन राम्रोसित परिभाषित सङ्कलन हो वा होईन?कारण सहित लेख्नूहोस्।(is above collection of numbers a well defined set or not?Write reason.)

क) उत्तर, माथी दिइएको सङ्ख्याको सङ्कलन राम्रोसित परिभाषित सङ्कलन होईन, किनभने सवैसङ्ख्याहरू4 देखि 20 सम्मका संयुक्त सङ्ख्या होईनन् (above collection of numbers is not a well defined set because all are composite numbers from 4 to 20)

क) उत्तर, माथी दिइएको सङ्ख्याको सङ्कलन राम्रोसित परिभाषित सङ्कलन हो किनभने सवैसङ्ख्याहरू4 देखि 20 सम्मका संयुक्त सङ्ख्या हुन् ा (above collection of numbers is a well defined set

because all are composite numbers from 4 to 20.)

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

तल दिइएका सङ्ख्याको सङ्कलनलाई अवलोकन गरी सहि विकल्पमा छाेयर निम्नलिखित प्रश्नहरूको सहि उत्तर दिनुहोस।( click on below best option Answers below questions by Observing below collected numbers)
4,6,8,9,10,12,14,15,16,18,20
ख) उक्त समूहलाई समूह सङ्केतमा लेख्नुहाेस ा
(Write above collection of numbers using Set Notation.)

ख) उत्तर ,उक्त समूहलाई वर्णात्मक विधीवाट लेख्दा ,C= { 21 भन्दा साना संयुक्त सङ्ख्याहरूकाे समूह}

Solution ,above collection of numbers in Description Method is

C= { A set of composite number less than 21}

ख )उत्तर ,उक्त समूहलाई समूह सङ्केतमा लेख्दा

,(above collection of numbers in Set notation Method)

Solution: C= { 4,6,8,9,10,12,14,15,16,18,20 }

Answer explanation

ख )उत्तर ,उक्त समूहलाई समूह सङ्केतमा लेख्दा
,(above collection of numbers in Set notation Method)
Solution: C= { 4,6,8,9,10,12,14,15,16,18,20 }

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

तल दिइएका सङ्ख्याको सङ्कलनलाई अवलोकन गरी सहि विकल्पमा छाेयर निम्नलिखित प्रश्नहरूको सहि उत्तर दिनुहोस।( click on below best option Answers below questions by Observing below collected numbers)
4,6,8,9,10,12,14,15,16,18,20
ग)उक्त समूहलाई वर्णात्मक विधिवाट लेख्नुहाेस
(Write above collection of numbers in Description Method.)

ग) उत्तर ,उक्त समूहलाई वर्णात्मक विधीवाट लेख्दा ,C= { 21 भन्दा साना संयुक्त सङ्ख्याहरूकाे समूह}

Solution ,above collection of numbers in Description Method is

C= { A set of composite number less than 21}

ग) उत्तर ,उक्त समूहलाई वर्णात्मक विधीवाट लेख्दा ,C= { 21 भन्दा ठूला संयुक्त सङ्ख्याहरूकाे समूह}

Solution ,above collection of numbers in Description Method is

C= { A set of composite number more than 21}

Answer explanation

ग) उत्तर ,उक्त समूहलाई वर्णात्मक विधीवाट लेख्दा ,C= { 21 भन्दा साना संयुक्त सङ्ख्याहरूकाे समूह}
Solution ,above collection of numbers in Description Method is
C= { A set of composite number less than 21}

MULTIPLE CHOICE QUESTION

10 mins • 5 pts

शून्य सहितकाे प्राकृतिक सङ्ख्याहरूकाे समूहलाइ ….भनिन्छ ा
(Set of Natural number with Zero is called ………)

शून्य सहितकाे प्राकृतिक सङ्ख्याहरूकाे समूहलाइ पूर्ण सङ्ख्या….भनिन्छ ा

(Set of Natural number with Zero is called …Whole number……)

शून्य सहितकाे प्राकृतिक सङ्ख्याहरूकाे समूहलाइ प्राकृतिक….भनिन्छ ा

(Set of Natural number with Zero is called …Natural……)

MULTIPLE CHOICE QUESTION

10 mins • 5 pts

चार अङ्कले वनेकाे सवै भन्दा ठूलाे सङ्ख्या र पाच अङ्कले वनेकाे सवै भन्दा सानाे सङ्ख्याकाे फरक लेख्नुहाेस
(write difference between greatest number of 4 digits and smallest number of five digit number )

चार अङ्कले वनेकाे सवै भन्दा ठूलाे सङ्ख्या =9999

र पाच अङ्कले वनेकाे सवै भन्दा सानाे सङ्ख्या=10000

चार अङ्कले वनेकाे सवै भन्दा ठूलाे सङ्ख्या र पाच अङ्कले वनेकाे सवै भन्दा सानाे सङ्ख्याकाे फरक =10000-9999=

(difference between greatest number of 4 digits and smallest number of five digit number =10000-9999=1 )

चार अङ्कले वनेकाे सवै भन्दा ठूलाे सङ्ख्या =9999

र पाच अङ्कले वनेकाे सवै भन्दा सानाे सङ्ख्या=10000

चार अङ्कले वनेकाे सवै भन्दा ठूलाे सङ्ख्या र पाच अङ्कले वनेकाे सवै भन्दा सानाे सङ्ख्याकाे फरक =9999-10000==-1

(difference between greatest number of 4 digits and smallest number of five digit number =9999-10000=-1 )

MULTIPLE CHOICE QUESTION

10 mins • 5 pts

संख्या 2,5,0 वाट वन्ने तिन अङ्ककाे सवै भन्दा ठूलाे र सानाे सङ्ख्याहरूकाे याेगफल लेख्नुहाेस
(Find sum of greatest and smallest number which can be formed by 2,5,1)

संख्या 2,5,0 वाट वन्ने तिन अङ्ककाे सवै भन्दा ठूलाे सङ्ख्या=520

संख्या 2,5,0 वाट वन्ने तिन अङ्ककाे सवै भन्दा सानाे सङ्ख्या=205

संख्या 2,5,0 वाट वन्ने तिन अङ्ककाे सवै भन्दा ठूलाे र सानाे सङ्ख्याहरूकाे याेगफल =520+205=725

( sum of greatest and smallest number which can be formed by 2,5,0= 520+205=725

संख्या 2,5,0 वाट वन्ने तिन अङ्ककाे सवै भन्दा ठूलाे सङ्ख्या=520

संख्या 2,5,0 वाट वन्ने तिन अङ्ककाे सवै भन्दा सानाे सङ्ख्या=205

संख्या 2,5,0 वाट वन्ने तिन अङ्ककाे सवै भन्दा ठूलाे र सानाे सङ्ख्याहरूकाे याेगफल =502+250=752

( sum of greatest and smallest number which can be formed by 2,5,0= 502+250=752

MULTIPLE SELECT QUESTION

10 mins • 5 pts

12 का गुणनखन्डहरू लेख्नुहाेस(Which are factors of 12? )
18 का गुणनखन्डहरू लेख्नुहाेस(Which are factors of 18? )

12 का गुणनखन्डहरू

Factors of 12(F₁₂)={1,2,3,4,6,12}

12 का गुणनखन्डहरू

Factors of 12(F₁₂)={1,2,3,4,9,12}

18 का गुणनखन्डहरू

Factors of 18(F₁₈)={1,2,3,6,9,18}

18 का गुणनखन्डहरू

Factors of 18(F₁₈)={1,2,3,4,6,9,18}

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class 6 math 2080

ख )उत्तर ,उक्त समूहलाई समूह सङ्केतमा लेख्दा ,(above collection of numbers in Set notation Method)Solution: C= { 4,6,8,9,10,12,14,15,16,18,20 }

शून्य सहितकाे प्राकृतिक सङ्ख्याहरूकाे समूहलाइ ….भनिन्छ ा (Set of Natural number with Zero is called ………)

12 का गुणनखन्डहरू लेख्नुहाेस(Which are factors of 12? )18 का गुणनखन्डहरू लेख्नुहाेस(Which are factors of 18? )

Q)4 का अपबर्त्यहरू के के हुन् ?(Which are multiples 4?)6 का अपबर्त्यहरू के के हुन् ?( Which are multiples 6 ?)

Q)Insert (>) or (<) between i) -2□-5II)3□-6

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ख )उत्तर ,उक्त समूहलाई समूह सङ्केतमा लेख्दा
,(above collection of numbers in Set notation Method)
Solution: C= { 4,6,8,9,10,12,14,15,16,18,20 }

शून्य सहितकाे प्राकृतिक सङ्ख्याहरूकाे समूहलाइ ….भनिन्छ ा
(Set of Natural number with Zero is called ………)

12 का गुणनखन्डहरू लेख्नुहाेस(Which are factors of 12? )
18 का गुणनखन्डहरू लेख्नुहाेस(Which are factors of 18? )

Q)4 का अपबर्त्यहरू के के हुन् ?
(Which are multiples 4?)
6 का अपबर्त्यहरू के के हुन् ?( Which are multiples 6 ?)

Q)Insert (>) or (<) between
i) -2□-5
II)3□-6