simplify / fraction / exercise /class 1-2-3 / Knowledge Hub

 

Simplify these

a. `\frac4 5` ÷ `\frac7 15` of `\frac8 9`

b.`\frac4 5` ÷ `\frac7 15` × `\frac8 9`

c.  `\5frac1 4` ÷ `\frac3 7` × `\frac1 2`

d.  `\5frac1 4` ÷ `\frac3 7` of `\frac1 2`

e.  `\frac7 8` + `\2frac5 6` - `\frac11 22` × `\3frac3 11`

f. `\3frac3 4` ÷ `\frac7 8` × `\4frac1 6` × `\1frac13 15`

g.`\frac1 2` + `\1frac1 2` ÷ `\1frac1 2` × `\frac2 3` - `\frac1 4`

h.  `\1frac4 5` - `\2frac3 4` of `\frac8 11` + `\frac3 8` ÷ `\frac9 10`

i.  `\9frac1 3` ÷ `\frac3 5` of `\frac7 9` × `\frac4 15`

j.  `\frac3 5` of `\1frac3 7` ÷ `\frac2 5` - `\frac1 2` + `\frac2 3` × `\frac6 7`

k.  `\7frac1 3` ÷ `\3frac2 3` of 2 + `\4frac1 2` ÷ `\2frac1 4` - `\2frac1 2`

l.  25 of `\frac3 5` ÷ `\1frac2 3` + 3 of `\frac1 3` ÷ 10

Simplify these

a. (`\frac4 9` + `\frac7 9`) × `\2frac1 4`

b.`\frac3 8` ÷ ( `\1frac7 8` - `\frac3 4`)

c.  {(`\13frac1 3` - `\12frac1 2`) ÷ `\frac5 6`} of  `\frac3 8`

d.  6 + {1 + `\frac1 2` + ( `\frac3 4` - `\frac1 2`)}

e.  `\2frac1 2` - { `\frac13 4` - ( `\3frac1 2` - `\1frac3 4` )}

f. `\4frac1 2` - [1 + { `\2frac1 2` - ( `\frac1 3` - `\frac1 4` )}]

g.`\3frac1 12` - [ `\1frac3 4` + { `\2frac1 2` - ( `\1frac1 2` - `\frac1 3`)}]

h.  `\3frac1 3` of  `\frac1 2` + 2 ÷ [ 2 × { 2 - (2 - `\frac1 5`)}]

i.   `\5frac1 2` - [`\2frac1 3` ÷ {`\frac3 4` - `\frac1 2` × ( `\frac2 3` - `\frac1 24`)}]

j. [2 + 5 ×{ `\1frac1 2` + ( `\frac3 4` - `\frac1 10` )}] + `\1frac1 2` 

 

 

 

 

 

Natural number / whole number / integers / rational numbers / Class-4-5 / New st. Mery English School

What are natural numbers?

Ans:- Counting numbers are called natural numbers.

Ex:- 1, 2, 3, 4, 5, 6, .................

Which is the smallest natural number?

Ans:- 1

Which is the greatest natural number?

Ans:- can not be findable

What are whole numbers?

Ans:- All natural numbers together with 0 (zero ) are called whole numbers.

Ex:- 0, 1, 2, 3, 4, 5, 6, .................

Which is the smallest whole number?

Ans:-0

Which is the greatest whole number?

Ans:- can not be findable

Write the next three whole numbers after 30999

Write the three whole numbers occuring just before 10001

Write the three whole numbers occuring just after 10001

How many whole numbers are there between 1032 and 1209?

Which is the smallest whole number?

Write down the consecutive whole numbers just preceding7510001

 

 

 

lcm / hcf / mixed problem / using formula / class- 1-2-3/ Knowledge Hub

 Problem type - 1

1- The HCF of two number is 4 , their LCM is 24 and one of the number is 8. find the other number.

2- The HCF of two number is 5 , their LCM is 165 and one of the number is 55. find the other number. 

3- The HCF of two number is 28 , their LCM is 336 and one of the number is 112. find the other number.

4- The LCM of two number is 693 , their HCF is 7 and one of the number is 77. what is the other number. 

5- The LCM of two number is 300 , their HCF is 3 and one of the number is 75. what is the other number. 

Problem type -2

 1- The LCM of 32 and 48 is 96. What is their HCF.

2- The LCM of 20 and 30 is 60 . What is their HCF.

3- The LCM of 18 and 30 is 90. What is their HCF.

4- The LCM of 52 and 78 is 156. What is their HCF.

5- The LCM of 38 and 57 is 114. What is their HCF.

Problem type -3

 1- The HCF of 45 and 60 is 15. What is their LCM.

2- The HCF of 55 and 99 is 11. What is their LCM.

3- The HCF of 104 and 117 is 13. What is their LCM.

4- The HCF of 51 and 85 is 17. What is their LCM.

5- The HCF of 72 and 80 is 8. What is their LCM.

Problem type -4

 1- The product of two numbers is 516. If their HCF is 3. Find their LCM.

2- The product of two numbers is 108. If their HCF is 3. Find their LCM.

3- The product of two numbers is 98. If their HCF is 7. Find their LCM.

4- The product of two numbers is 320. If their HCF is 4. Find their LCM.

5- The product of two numbers is 750. If their HCF is 5. Find their LCM.

Problem type -5

 1- The product of two numbers is 432. If their LCM is 72. Find their HCF.

2- The product of two numbers is 384. If their LCM is 48. Find their HCF.

3- The product of two numbers is 500. If their LCM is 100. Find their HCF.

4- The product of two numbers is 588. If their LCM is 84. Find their HCF.

5- The product of two numbers is 242. If their LCM is 22. Find their HCF.

 

 

 

types of fraction / Defiition / exercise / class 1-2-3/ New St. Mery English School

 What are Like Fractions?

Ans:- Those fractions whose denominators are same are called like fractions.

Example:-

a. `\frac1 15` 

b. `\frac4 15`

c.  `\frac7 15`

d.  `\frac13 15`

e.  `\frac11 15`

 

What are unlike fractions?  

Ans:- Those fractions whose denominators are not same are called unlike fractions.

Example:-

a. `\frac1 6` 

b. `\frac7 13`

c.  `\frac9 10`

d.  `\frac13 15`

e.  `\frac12 5`

 

What is unit fraction?

Ans:- A fraction whose numerator is 1 is called unit fraction. 

Example:-

a. `\frac1 12` 

b. `\frac1 7`

c.  `\frac1 15`

d.  `\frac1 9`

e.  `\frac1 6`

What is proper fractions?

Ans:- A fraction whose numerator is less than denominator is called proper fraction.

Example:-

a. `\frac5 7` 

b. `\frac4 15`

c.  `\frac9 13`

d.  `\frac3 4`

e.  `\frac8 19`

 

What is improper fraction?

Ans:- A fraction whose numerator is more than denominator is called improper fraction.

Example:-

a. `\frac15 8` 

b. `\frac14 9`

c.  `\frac17 5`

d.  `\frac13 12`

e.  `\frac11 6`

 

What is mixed number?

Ans:- A number which has a whole number and a proper fraction is called mixed number 

Example:-

a. `\2frac1 8` 

b. `\3frac4 5`

c.  `\6frac7 15`

d.  `\4frac3 7`

e.  `\5frac5 9`

 

 

lcm / word problem / exercise / class 4-5/ Knowledge Hub

 Problem type - 1

1- find LCM of 25, 30 and 40 using prime factorization method.

2- find LCM of 42, 36 and 21 using prime factorization method.

3- find LCM of 26, 14 and 91 using prime factorization method.

4- find LCM of 36, 64, and 80 using prime factorization method.

5- find LCM of 36, 60, 84 and 90 using prime factorization method.

 

 Problem type -2

1- find LCM of 64, 96 and 112 using division method.

2- find LCM of 15, 45, 125 and 225 using division method.

3- find LCM of 44, 126, 198 and 280 using division method.

4- find LCM of 12, 36, 16, 24 and 32 using division method.

5- find LCM of 18, 28, 35, 60 and 100 using division method.

Problem type -3

1- Find the smallest number that can be exactly divided by 72 and 108 without leaving any remainder.

Problem type - 4

1- Find the smallest number which when divided by 6, 8, 12, 15 and 20  leaves the same remainder 5.

Problem type -5

 1-Find the smallest number of five digit that can be exactly divided by 60, 80 and 90

2- find the smallest number of four digits which when divided 6, 8, 12  and 20 leaves no remainder

Problem type -6

 1-Find the smallest number of five digit that can be exactly divided by 60, 80 and 90 leaves 2 as remainder.

2- find the smallest number of four digits which when divided 6, 8, 12  and 20 leaves 5 as remainder.

 

Problem type -7

 1- Find the greatest number of 6 digits which is exactly divisible by 27, 45, 60, 72 and 96.

2- Find the greatest number of three digits that can be exactly divided by 45, 60 and 75 

Problem type -8

 1- Four bells ring together. If the bells ring at intervals of 2, 5, 8 and 10 seconds respectively, after what interval of time will they ring together again.

2-  

Problem type -9

 1- Three bells ring at intervals of 10, 15 and 20 minutes respectively. The three bells ring together at 12 o' clock. At what time will they ring together next.

2- In a zoo three lions roar together at 10 a.m. If the lions roar regularly at the intervals of 10, 15 and 12 minutes respectively then at what time will they roar together again.

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like decimal / exercise / class 1-2-3 / Knowledge Hub

 Change into like decimal

a) 8.01  ,  0.007  ,  5.1  ,  0.95

 

b) 1.007  ,  9.04  ,  2  ,  4.2

 

c) 0.37 ,  8.9  ,  39.4  ,  6.7

 

d) 6.051  ,  7.8  ,  30.4  ,  0.99

 

e) 6.6  ,  0.003  ,  1.5  ,  0.007

 

f) 0.001  ,  2.9  ,  0.0002  ,  256

 

g) 39.1  ,  0.064  ,  471.98  ,  150.650

 

h) 8  ,  11.146  ,  0.0002  ,  3.45

 

i) 742  ,  471.98  ,  3.5  ,  7.25

 

j) 87.125  ,  400  ,  13.2  ,  3.05

one word from each alphabets / nursery class / exercise / Knowledge Hub

 one word from each alphabets

1- apple -सेब 

2- ball -  गेंद 

3- cat - बिल्ली 

4- dog - कुत्ता 

5- elephant - हाथी 

6- fish - मछली 

7- grapes -अंगुर 

8- hen - मुर्गी 

9- ice-cream- आइसक्रीम

10- jug - जग 

11- kite - पतंग 

12- lion - शेर 

13- monkey - बन्दर 

14- nest - घोंसला 

15- orange - संतरा 

16- parrot - तोता 

17- queen - रानी 

18- rabbit - खरगोश 

19- ship - जहाज 

20- tiger - बाघ 

21- umbrella - छाता 

22- van - वैन 

23- watch - घडी 

24- xmas - क्रिसमस 

25- yak - याक 

26- zebra - ज़ेब्रा 

Fill in the blanks with missing letters 

1- app _____ e

2- b_____ll 

3- c_____t

4- d_____g 

5- ele_____hant 

6- fi_____h

7- gr_____pes

8- h_____n 

9- ice-cr_____am

10- j_____g

11- ki_____e

12- li_____n

13- mo_____key 

14- n_____st

15- or_____nge 

16- par_____ot 

17- q_____een 

18- ra_____bit 

19- sh_____p 

20- ti_____er 

21- umb_____ella 

22- v_____n 

23- wa_____ch 

24- x_____as 

25- y_____k 

26- ze_____ra  

unscramble the jumbled word

1- elppa

2- llab

3- tac

4- god

5- tnahpele

6- hsif

7- separg

8- neh

9- maerc-eic

10- guj

11- etik

12- noil

13- yeknom

14- tsen

15- egnaro

16- torrap

17- neeuq

18- tibbar

19- pihs

20- regit

21- allerbmu

22- nav

23- hctaw

24- samx

25- kay

26-arbez

 

 

 

hcf / word problem / exercise / class 4-5/ Knowledge Hub

Problem type - 1

1- find HCF of 45 and 75 using prime factorization method.

2- find HCF of 48 and 72 using prime factorization method.

3- find HCF of 56, 42 and 140 using prime factorization method.

4- find HCF of 44, 121 and 132 using prime factorization method.

5- find HCF of 128, 136 and 512 using prime factorization method.

 

 Problem type -2

1- find HCF of 808, 568 and 1112 using division method.

2- find HCF of 12350 and 6845 using division method.

3- find HCF of 1233, 726, 531, 345 using division method.

4- find HCF of 1326, 3094, 4420, 5577 using division method.

5- find HCF of 345, 726 and 531 using division method.

Problem type -3

1- Find the greatest number that will divide18, 24 and 36 without leaving any remainder.

2- Find the greatest number that will divide48 and 72 without leaving any remainder.

3- Find the greatest number that will divide 16 and 24 without  leaving any remainder.

4- Find the greatest number that will divide 125, 225 and 325 without leaving any remainder.

5- Find the greatest number that will divide120, 140 and 360 without leaving any remainder.

Problem type - 4

1- Find the greatest number which will divide 48, 53 and 58  leaving 3 as remainder.

2-  Find the greatest number which will divide 18, 23 and 33  leaving 3 as remainder.

3-  Find the greatest number which will divide 15, 25 and 35 leaving 5 as remainder.

4- Find the greatest number that will divide 137, 182 and 422 leaving the remainder 2 in each case.

Problem type -5

 1- Find the greatest number that will divide 37, 50 and 123  leaving remainder 1, 2 and 3 respectively. 

2- Find the greatest number that will divide 37, 56 and 93  leaving remainders 1, 2 and 3 respectively.

3- Find the greatest number that will divide 517 and 815 leaving remainders 1 and 3 respectively. 

bodmas / simplify/ exercise / class 1-2-3/ Knowledge Hub

Simplify these

a:  ( 16 + 12 ) - ( 2 × 6 )

b: 84 ÷ ( 72 ÷ 6 )

c:  ( 83 - 38 ) × 15

d:  ( 20 × 8 ) / ( 10 of 4 )

e:  24 + 15 / 3 × ( 4 - 2 )

f:  ( 15 × 3 ) / 5 × 8 - 2 + 6 × (8 - 2 )

g:  5 × { 19 - ( 15 - 6 )}

h:  20 + { 5 × (72 - 42 ) }

i: 40 - { ( 17 - 3 ) / ( 20 - 13 ) }

j: ( 30 / 10 ) + { ( 6 × 12 ) / 8}

k: { 7 + ( 5 × 3 ) } - 12 + 6 of 3 

cube and cube root / class 6-7-8 / exercise / Knowledge Hub

Problem type - 1

1- Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube.

2- Find the smallest number by which 1600 must be divided so that the quotient is a perfect cube.

3- Find the smallest number by which 392 must be divided so that the quotient is a perfect cube.

Problem type - 2

1- Find the smallest number by which 2560 must be multiplied so that the quotient is a perfect cube.

2- Find the smallest number by which 1323 must be multiplied so that the quotient is a perfect cube.

3- Find the smallest number by which 3087 must be multiplied so that the quotient is a perfect cube.

Lines and angles / definition of angles / exercise / class 1-2-3 / Knowledge Hub

What is point?

Ans:- A geometrical figure which have no length , no breadth and no thickness. It is used in indicating objects. The name of point is written by capital alphabets.

What is straight line?

Ans:- A straight line is a geometrical figure which have length but no breadth and thickness. It has two extending points. It extends in both direction so it has no fixed length. It can not be measured.

 Example 1:-                   Draw a straight line of  'PQ'

Q:- solve these questions

1- Draw a straight line  'AB'

2- Draw a straight line   'CD'

3- Draw a straight line   'EF'

4- Draw a straight line   'XY'

5- Draw a straight line   'KL'

6- Draw a straight line   'OP'

7- Draw a straight line   'GH'

8- Draw a straight line   'MN'

9- Draw a straight line   'ST'

10- Draw a straight line   'QR'  

What is Ray?

Ans:- A Ray is a geometrical figure which have length but no breadth and thickness. It has one extending point and one end point. It extends in one direction so it has no fixed length. It can not be measured.

Example 2:-                      Draw a ray of PQ

  

Q:- solve these questions

1- Draw a ray   'AB'

2- Draw a ray   'CD'

3- Draw a ray   'EF'

4- Draw a ray  'XY'

5- Draw a ray   'KL'

6- Draw a ray   'OP'

7- Draw a ray   'GH'

8- Draw a ray  'MN'

9- Draw a ray   'ST'

10- Draw a ray    'QR' 

What is line segment?

Ans:- A line segment is a geometrical figure which have length but no breadth and thickness. It has two end points. It does not extend in any direction so it has fixed length. It can be measured.

Example 3:-                  Draw a line segment of  'PQ'

Q:- solve these questions

1- Draw a line segment   'AB' of length 6 cm.

2- Draw a line segment   'CD' of length 6.8 cm

3- Draw a line segment   'EF' of length 8.8 cm

4- Draw a line segment   'XY' of length 5.5 cm

5- Draw a line segment   'KL' of length 9 cm

 What is plane? 

Ans- A plane is a flat surface with no thickness. It extends endlessly in all direction. A plane has only two dimension-length and breadth

Ex- surface of notebook,  surface of table etc

What is incidence properties in a plane? 

Ans-The relationship between points and lines are called incidence properties in a plane

Ex-1-Any number of lines can be drawn through a given point

2- Only one line can pass through two given points in a plane

What are intersecting lines? 

Ans:- Two lines which have a point in common are called intersecting lines. 

What is point of intersection? 

The point that is common to both the intersecting lines is called point of intersection.

What are parallel lines? 

Lines that lie in the same plane such that the perpendicular distance between them is same from any point are called parallel lines. 

What are collinear  points? 

Ans-Three or more than three points that lie on a straight line are called collinear points.

What is line of collinearity? 

Ans-A line passing through some collinear points is called the line of collinearity. 

What are concurrent lines? 

Ans- Three or more than three lines which pass through the same Point are called concurrent lines. 

What is point  of concurrence?

Ans- The point through which three or more than three lines pass is called point of concurrence. 

What is angle?

Ans:- An angle is formed when two rays have a common end point.

Solve these problems

1- Draw an angle of 30 degree using protector.

2- Draw an angle of 45 degree using protector.

3- Draw an angle of 60 degree using protector.

4- Draw an angle of 90 degree using protector.

5- Draw an angle of 120 degree using protector.

6- Draw an angle of 150 degree using protector.

7- Draw an angle of 100 degree using protector.

8- Draw an angle of 70 degree using protector.

9- Draw an angle of 130 degree using protector.

10- Draw an angle of 105 degree using protector. 

What is Acute angle?

Ans:- An angle whose measures is more than 0° but less than 90° is called acute angle.

Ex- 30° , 45° , 60°

Circle the acute angles.

a- 20°    46°    100°    89°    105°     

b- 75°    15°    150°    55°    12°     

c- 99°     2°    80°    133°    90°     

d- 28°    59°     110°    50°    88°    

e-  60°    165°     72°    39°    139°

What is right angle?

Ans:- An angle whose measures is 90° is called right angle.

Ex:- 90° 

What is obtuse angle?

Ans:- An angle whose measures is more than 90° but less than 180° is called obtuse angle.

Ex:- 110° , 95° , 160° 

Circle the obtuse angles.

a- 20°    46°    100°    89°    105°     

b- 75°    15°    150°    55°    12°     

c- 99°     2°    80°    133°    90°     

d- 28°    59°     110°    50°    88°    

e-  60°    165°     72°    39°    139°

 

What is straight angle?

Ans:- An angle whose measures is 180° is called straight angle.

Ex:- 180°

What is reflex angle?

Ans :- An angle whose measures is more than 180° but less than 360° is called reflex angle.

Ex:- 260°    195°     272°    339°    355°

Circle the reflex angles.

a- 20°    246°    190°    389°    205°     

b- 175°    315°    150°    255°    12°     

c- 199°    22°     180°    233°    290°     

d- 28°    159°     210°    250°    188°    

e-  360°    165°     172°    239°    39°

What is complete angle?

Ans:- An angle whose measures is 360° is called complete angle.

Ex:- 360°

Identify these angles

20°     

346°   

100°     

89°     

105° 

60°     

165°      

72°     

39°     

139° 

360°     

165°     

172°     

239°    

90°    

22°      

180°     

233°     

290°

What is complementary angle?

 Two angles whose sum is 90° is called complementary angle.

Ex:- 60° and 30°    ,    25° and 65°

Solve these questions 

 1- Find the complementary angle of 55° 

2- Find the complementary angle of 48°

3- Find the complementary angle of 26°

4- Find the complementary angle of 85°

5- Find the complementary angle of 72°  

What is Supplementary angle?

 Two angles whose sum is 180° is called supplementary angle.

Ex:- 100° and 80°    ,    125° and 55°

Solve these questions 

 1- Find the supplementary angle of 128° 

2- Find the supplementary angle of 110°

3- Find the supplementary angle of 66°

4- Find the supplementary angle of 80°

5- Find the supplementary angle of 172°

What is interior of an angle?

Ans:- all those points that lie inside the angle form the interior of the angle.

What is exterior of an angle?

Ans:- All those points that lie outside the angle form the exterior of the angle.

What is lie on the angle?

Ans:- All those points that lie on the arms of the angle is said to lie on the angle.