comparison of fraction / class-4-5 / New St. Mery English School

Arrange in descending order of magnitude

a. `\frac18 5` , `\frac18 5` , `\frac7 5` , `\frac13 5`

b. `\frac7 9` , `\frac13 9` , `\frac23 9` , `\frac20 9`

c. `\frac4 15` , `\frac11 15` , `\frac1 15` , `\frac22 15`

d. `\frac3 4` , `\frac5 4` , `\frac7 4` , `\frac13 4`

e. `\frac3 6` , `\frac5 6` , `\frac7 6` , `\frac13 6`

Arrange in ascending order of magnitude

a. `\frac18 5` , `\frac18 5` , `\frac7 5` , `\frac13 5`

b. `\frac7 9` , `\frac13 9` , `\frac23 9` , `\frac20 9`

c. `\frac4 15` , `\frac11 15` , `\frac1 15` , `\frac22 15`

d. `\frac3 4` , `\frac5 4` , `\frac7 4` , `\frac13 4`

e. `\frac3 6` , `\frac5 6` , `\frac7 6` , `\frac13 6`

Arrange in descending order of magnitude

a. `\frac18 5` , `\frac18 25` , `\frac18 8` , `\frac18 6`

b. `\frac7 9` , `\frac7 15` , `\frac7 27` , `\frac7 21`

c. `\frac4 5` , `\frac4 20` , `\frac4 15` , `\frac4 25`

d. `\frac3 4` , `\frac3 11` , `\frac3 8` , `\frac3 6`

e. `\frac13 4` , `\frac13 9` , `\frac13 8` , `\frac13 6`

Arrange in ascending order of magnitude

a. `\frac18 5` , `\frac18 25` , `\frac18 8` , `\frac18 6`

b. `\frac7 9` , `\frac7 15` , `\frac7 27` , `\frac7 21`

c. `\frac4 5` , `\frac4 20` , `\frac4 15` , `\frac4 25`

d. `\frac3 4` , `\frac3 11` , `\frac3 8` , `\frac3 6`

e. `\frac13 4` , `\frac13 9` , `\frac13 8` , `\frac13 6`

 Arrange in descending order of magnitude

a. `\frac18 5` , `\frac18 25` , `\frac7 8` , `\frac13 6`

b. `\frac7 9` , `\frac13 15` , `\frac23 27` , `\frac20 21`

c. `\frac4 5` , `\frac11 20` , `\frac11 15` , `\frac22 25`

d. `\frac3 4` , `\frac5 4` , `\frac7 8` , `\frac13 6`

e. `\frac3 4` , `\frac5 4` , `\frac7 8` , `\frac13 6`

 

 Arrange in ascending order of magnitude

a. `\frac3 4` , `\frac5 4` , `\frac7 8` , `\frac13 6`

b. `\frac7 9` , `\frac13 15` , `\frac23 27` , `\frac20 21`

c. `\frac4 5` , `\frac11 20` , `\frac11 15` , `\frac22 25`

d. `\frac3 4` , `\frac5 4` , `\frac7 8` , `\frac13 6`

e. `\frac3 4` , `\frac5 4` , `\frac7 8` , `\frac13 6`

 

 

 

 

lcm / hcf / mixed problem / class- 4-5/ Knowledge Hub

 

 Problem type - 1

1- Find the greatest number that will exactly divide 840 and 2296.

2- Find the greatest number that will divide each of 90, 108, and 126 without leaving a remainder.

3- Find the greatest number that will divide 24 and 36 having no remainder

4- Find the greatest number that will divide each of 18, 24, and 36 without leaving a remainder.

5- Find the greatest number that will divide each of 48 and 72 without leaving a remainder.

6- Find the greatest number that will divide each of 125, 225, and 325 without leaving a remainder. 

Problem type -2

 1- Find the greatest number which which divides 615 and 963 leaving the remainder 6 in each case.

2- Find the greatest number which divides 2011 and 2623 leaving remainders 9 and 5 respectively.

3- Find the greatest number that will divide 445, 572 and 699, leaving remainders 4, 5, 6 respectively.

4- Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.

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

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

7- Find the greatest number which divides 517 and 815 leaving remainders 1 and 3 respectively. 

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

 

Problem type -3

 1- Find the least number divisible by 15, 20, 24, 32 and 36

Problem type -4

1- Find the least number which when divided by 25, 40 and 60 leaves 9 as remainder in each case.

2- 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 least number of five digits that is exactly divisible by 16, 18, 24 and 30

2- Find the smallest number of five digits that is exactly divisible by 60, 90 and 80

Problem type -6

1- Find the greatest number of five digits that is exactly divisible by 9, 12, 15, 18 and 24

2- Find the greatest number of six digits that is exactly divisible by 27, 45, 60, 72 and96

3- Find the greatest number of three digits that is exactly divisible by 75, 45 and 60

Three pieces of timber 42m, 49 m and 63 m long,  have to be divided into planks of the same length. What is the greatest possible length of each plank? 

Three different containers contain 403 l,  434 l,  and 465 l of milk respectively. Find the capacity of container which can measure the milk of all the containers in an exact number of times. 

Percentage / class-1-2-3 / New St. Mery English School

 

Problem type- 1

Change into percentage 

a) 15

b) 9

c) 56

d) 125

e) 45

Problem type-2

Change into percentage 

a) `\frac5 12`

b) `\frac27 50`

c) `\frac2 5`

d) `\frac9 40`

e) `\frac3 10`

Problem type - 3

change into fraction 

a) 25%

b) 64%

c) 35%

d) 40%

e) 33%

Problem type -4

change into fraction 

a) 2.5%

b) 64.2%

c) 35.5%

d) 4.3%

e) 33.6%

Problem type - 5

change these decimal fraction into percent 

a) 0.9 = .........%

b) 6.8 = .........%

c) 35.5 = .........%

d) 45.6 = ..........%

e)72.5 = ..........%

problem type - 6

change these percentage into decimal

a) 25%

b) 40%

c) 35%

d) 12%

e) 68%

 Problem type - 7

Fill in the blanks with percentages.

a) 5 paise = ......... of a rupee

b) 30 cm = .......... of a metre

c) 4g = .......... of a kg

d) 40 ml = .......... of a litre

e) 9mm = .......... of a cm

f) 100 m = .......... of a km

g) 5 paise = ......... of a rupee 

h) 6 cm = ........... of a metre

i) 100 g = ........... of a kg

Problem type - 8

Find the value of each of the following

a) 25% of 60

b) 64% of 130

c) 35% of 180

d) 40% of 80

e) 33% of 65

Problem type - 9

Find the value of each of the following

a) 25% of `\frac1 15`

b) 64% of `\frac3 13`

c) 35% of `\frac5 8`

d) 40% of `\frac7 9`

e) 33% of `\frac4 13`

 

 

 

 

natural number / even number / odd number / class 1-2-3 / Knowledge Hub

 What are natural numbers?

Ans:- counting numbers are called natural numbers.

Ex:- 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 --------------

Problem type - 1

1- Find the sum of 8 consecutive natural numbers.

2- Find the sum of 5 consecutive natural numbers.

3- Find the sum of 10 consecutive natural numbers.

4- Find the sum of 12 consecutive natural numbers.

5- Find the sum of 4 consecutive natural numbers.

What are even numbers?

Ans:- Numbers that are divisible by 2 are called even numbers.

Ex:- 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26 ---------------

       4568, 2058, 745820, 456324, 852962 ---------------------- 

Problem type -2

1- Find the sum of 7 consecutive even numbers.

2- Find the sum of 6 consecutive even numbers.

3- Find the sum of 11 consecutive even numbers.

4- Find the sum of 10 consecutive even numbers.

5- Find the sum of 14 consecutive even numbers.

What are odd numbers?

Ans:- Numbers that are not divisible by 2 are called odd numbers.

Ex:- 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27 ---------------

       4567, 2059, 745821, 456325, 852963 ---------------------- 

Problem type -3

1- Find the sum of 7 consecutive odd numbers.

2- Find the sum of 6 consecutive odd numbers.

3- Find the sum of 11 consecutive odd numbers.

4- Find the sum of 10 consecutive odd numbers.

5- Find the sum of 14 consecutive odd numbers.

 

 

cuboid / cube / volume / class 1-2-3 / knowledge Hub

 

Volume of cuboid

1- Find the volume of the cuboid whose length = 22cm,  breadth = 12 CM and height = 7 cm

2- Find the volume of the cuboid whose length = 15 m,  breadth = 6 m and height = 9 m

3- Find the volume of the cuboid whose length = 24 m,  breadth = 20m and height = 6 m

4- Find the volume of the cuboid whose length = 8 cm,  breadth = 6 cm and height = 1cm

Length of cuboid

1- Find the length of the cuboid whose volume = 1848 Cm³,  breadth = 12 CM and height = 7 cm

2- Find the length of the cuboid whose volume = 810 Cm³,  breadth = 6 CM and height = 9 cm

3- Find the length of the cuboid whose volume = 2880 Cm³,  breadth = 20 CM and height = 6 cm

4- Find the length of the cuboid whose volume = 240 Cm³,  breadth = 6 cm and height = 5 cm

Breadth of cuboid

1- Find the breadth of the cuboid whose volume = 1848 Cm³,  length = 22 CM and height = 7 cm

2- Find the breadth of the cuboid whose volume = 810 Cm³,  length = 15 CM and height = 9 cm

3- Find the breadth of the cuboid whose volume = 2880 Cm³,  length = 24 CM and height = 6 cm

4- Find the breadth of the cuboid whose volume = 240 Cm³,  length = 8 cm and height = 5 cm

Height of cuboid

1- Find the height of the cuboid whose volume = 1848 Cm³,  length = 22 CM and breadth = 12cm

2- Find the height of the cuboid whose volume = 810 Cm³,  length = 15 CM and breadth = 6 cm

3- Find the height of the cuboid whose volume = 2880 Cm³,  length = 24 CM and breadth = 20 cm

4- Find the height of the cuboid whose volume = 240 Cm³,  length = 8 cm and breadth = 6 cm

Volume of cube

 

1- Find the volume of cube each of whose edges measures 7 m

2- Find the volume of cube each of whose edges measures 12 cm

3- Find the volume of cube each of whose edges measures 8 cm

4- Find the volume of cube each of whose edges measures 9 m

5- Find the volume of cube each of whose edges measures 15 cm

 

profit and loss / Class - 1-2-3 / New St. Mery English School

Problem type - 1

1- Find the profit or loss if cost price = Rs 270 and selling price = Rs 300

2- Find the profit or loss if cost price = Rs 325 and selling price = Rs 275

3- Find the profit or loss if selling price = Rs 895 and cost price = Rs 818

4- Find the profit or loss if selling price = Rs 1000 and cost price = Rs 1080

5- Find the profit or loss if cost price = Rs 136 and selling price = Rs140

6- Find the profit or loss if cost price = Rs 248 and selling price = Rs178

Problem type - 2

1- The selling price of a watch is Rs 1500 and the cost price is Rs 1400. Find the profit or loss.

2- A shopkeeper buys a football for Rs 150 and sells it at Rs 210. What was his profit or loss. 

3- Raman bought a pair of goggles for Rs 84. He sold it to his friend for Rs 75. What profior loss did he make

4- The cost price of a book is Rs 22.25 and its selling price is Rs 20.50. Find the profit or loss.

5- A pen is bought for Rs 7.75 and sold at Rs 6.25. Find profit or loss. 

6- Praveen sold a Water filter for Rs 960. He had bought it for Rs 875. Find his profit or loss.

7- A man bought a dozen eggs at Rs 1.10 per egg. He sold the eggs at Rs 1.50. What was his profit. 

8- A business man bought an Almira for Rs 1800. He spent Rs 50 on transporting it to his shop. He sold it for Rs 2100. What was his profit. 

9- A man bought a machine for Rs 12175 and paid Rs 450 for transporting it  to his town.  He sold it for Rs 14800. What was his profit?

Problem type -3

1- Find the selling price, if cost price = Rs 780 and profit = Rs 78

2- Find the selling price, if cost price = Rs 1220 and loss = Rs244

3- Find the cost price, if Selling price = Rs 4325 and profit = Rs 432

4- Find the cost price, if selling price = Rs13456 and loss = Rs 544

5- Find the selling price, if cost price = Rs 999 and profit = Rs99

6- Find the selling price, if cost price = Rs 1678 and loss = Rs167

7- Find the cost price, if Selling price = Rs 4890 and profit = Rs 480

8- Find the cost price, if selling price = Rs7896 and loss = Rs 785

Problem type -4

1- A moped is bought at Rs 15,000. At what price should it be sold to make a profit of Rs 2,180?

2- A cap is bought at Rs 12.50. It sold at a loss of Rs 4.25. At what price was the cap sold 

3- A man buys a machine. He sells it at Rs 6570 and makes a profit of Rs 1,020. What was the cost price of the machine.

4- A shopkeeper suffers a loss of Rs 2,527 by selling a TV for Rs 11825. What was the cost price of the TV.

5- A chair was bought for Rs 575. At what price should it be sold to gain Rs 57

6- A table was bought for Rs 800. It was sold at profit of Rs 160. Find the selling price.  

Problem type -5

1- If cost price = Rs 150 ,profit = Rs 15 , find the profit percent.

2- If cost price = Rs 500 ,profit = Rs 50 , find the profit percent.

3- If cost price = Rs 900 ,profit = Rs 300 , find the profit percent.

4- If cost price = Rs 80 ,profit = Rs 20 , find the profit percent.

5- If cost price = Rs 450 ,profit = Rs 50 , find the profit percent.

Problem type -6

1- If cost price = Rs 300 ,loss = Rs 50 , find the loss percent.

2- If cost price = Rs 80 ,loss = Rs 16 , find the loss percent.

3- If cost price = Rs 1200 ,loss = Rs 120 , find the loss percent.

4- If cost price = Rs 5000 ,loss = Rs 1000 , find the loss percent.

5- If cost price = Rs 1500 ,loss = Rs 300 , find the loss percent.

Problem type -7

1- If selling price = Rs 150 ,profit = Rs 15 , find the profit percent.

2- If selling price = Rs 500 ,profit = Rs 50 , find the profit percent.

3- If selling price = Rs 900 ,profit = Rs 300 , find the profit percent.

4- If selling price = Rs 80 ,profit = Rs 20 , find the profit percent.

5- If selling price = Rs 450 ,profit = Rs 50 , find the profit percent.

Problem type -8

1- If selling price = Rs 300 ,loss = Rs 50 , find the loss percent.

2- If selling price = Rs 80 ,loss = Rs 16 , find the loss percent.

3- If selling price = Rs 1200 ,loss = Rs 120 , find the loss percent.

4- If selling price = Rs 5000 ,loss = Rs 1000 , find the loss percent.

5- If selling price = Rs 1500 ,loss = Rs 300 , find the loss percent.

Problem type -9

1- A tricycle was purchased for Rs 1120 and sold for Rs 1336. find the profit and profit percent.

2- A fan was bought for Rs 1400 and sold for Rs 1260. find the loss and loss percent.

3- A chair was purchased for Rs 900 and sold for Rs 1000. find the profit and profit percent.

4- A table was purchased for Rs 800 and sold for Rs 600. find the loss and loss percent.

5- A table was bought for Rs 600 and sold for Rs 700. find the profit and profit percent.

6-A box was purchased for Rs 400 and sold for Rs 300. find the loss and loss percent.

 

 

 

 

 

 

 

 

 

Area of closed figure / class 4-5 / New St. Mery English School

 1- How many bricks will be required to lay a path 120m long and 2.4 m broad if a brick 24 cm long and 15 cm wide.

2- A field is 140m long 36 m broad. labours are engaged to plough the field. if a labour can plough 120 sq m a day , how many labourers are to be engaged to plough the field in a day?

3- Find the cost of tiling a courtyard 30 m long and 15 m broad at the rate of Rs 5 per sq cm.

4- Find the cost of painting the walls of a room is 4 m 50 cm high and each side of the room is 6 m long. The cost of painting is Rs 10 per sq m.

perimeter of closed figure / rectangle / square / triangle / Knowledge Hub

 

problem type -1

1- Find the perimeter of the triangle ABC if AB= 4cm,  BC= 3cm and CA= 6cm

2- Find the perimeter of the triangle ABC if AB= 12cm,  BC= 5cm and CA= 13cm

3- Find the perimeter of the triangle ABC if AB= 7cm,  BC= 8cm and CA= 9cm

4- Find the perimeter of the triangle ABC if AB= 1m 75cm,  BC= 2m 50cm and CA= 3m

problem type -2

1- Find the perimeter of equilateral triangle whose each side is 4cm. 

2- Find the perimeter of equilateral triangle whose each side is 5cm

3- Find the perimeter of equilateral triangle whose each side is 3m 25cm

problem type -3

 1- Find the perimeter of rectangle whose length = 13cm and breadth = 5cm

2- Find the perimeter of rectangle whose length = 8cm and breadth = 7cm

3- Find the perimeter of rectangle whose length = 17cm and breadth = 15cm

4- Find the perimeter of rectangle whose length = 22cm and breadth = 17cm

5- find the length of the boundary wall of a rectangular garden which is 132m long and 80m broad. 

6- Find the perimeter of rectangular flower bed which is 7m 10cm long and 3m 20cm broad

problem type -4

1- Find the perimeter of square whose each side is 7cm.

2-  Find the perimeter of square whose each side is 5m.

3- Find the perimeter of square whose each side is 3m 25cm.

 

 

 

Area of closed figure / triangle / quadrilateral / Knowledge Hub / class - 1-2-3

 Problem type - 1

1- Find the area of rectangle whose length is 15m and breadth is 12m.

2- Find the area of rectangle whose length is 21m and breadth is 14m.

3- Find the area of rectangle whose length is 150cm and breadth is 85cm.

4- Find the area of rectangle whose length is 3m 20cm and breadth is 2m.

5- Find the area of rectangle whose length is 8km and breadth is 2km 500m. 

6- A garden is 800cm long and 300cm broad. find the length and breadth in metres and area in square metres. 

7- Find the area of rectangular flower-bed in sq cm, if its length is 7m 30cm and breadth is 4m 50cm

Problem type -2

1- Find the length of rectangle whose area is 575 m² and breadth is 23m.

2- Find the length of rectangle whose area is 300 m² and breadth is 15m.

3- Find the length of rectangle whose area is 512 cm² and breadth is 16cm.

Problem type -3

1- Find the breadth of rectangle whose area is 12750 m² and length is 150m.

2- Find the breadth of rectangle whose area is 5500 m² and length is 110m.

3- Find the breadth of rectangle whose area is 1926 cm² and length is 107cm.

Problem type -4

 1- Find the area of square whose each side is 15 m.

2- Find the area of square whose each side is 18 m.

3- Find the area of square whose each side is 20cm.

4- Find the area of square whose each side is 3 m 40 cm.

5- Find the area of square whose each side is 5m 50cm.

6- Find the area of the floor of square room in square metre whose each side is 800 cm   

Problem type -5

 1- Find the side of square whose area is 144 m²

 2- Find the side of square whose area is 324 m²

3- Find the side of square whose area is 625 m²

4- Find the side of square whose area is 256 cm²

5- Find the side of square whose area is 81 cm²

Problem type -6

 1- Find the area of rhombus whose diagonals are 10 cm and 12 cm.

1- Find the area of rhombus whose diagonals are 14 cm and 16 cm.
1- Find the area of rhombus whose diagonals are 8 m and 600 cm.
1- Find the area of rhombus whose diagonals are 100 cm and 2m 50 cm.
1- Find the area of rhombus whose diagonals are 1/2 m and 75 cm.

Problem type -7

 1-Area of rhombus is 150 cm²   one of its diagonal is 20 cm. find other diagonal        

2-Area of rhombus is 120 cm²   one of its diagonal is 16 cm. find other diagonal      

3-Area of rhombus is 250 cm²   one of its diagonal is 25 cm. find other diagonal      

4-Area of rhombus is 96 cm²   one of its diagonal is 12 cm. find other diagonal      

5-Area of rhombus is 45 cm²   one of its diagonal is 9 cm. find other diagonal       

Problem type -8

1- Find the area of trapezium whose parallel sides are 5 cm and 9 cm.

and distance between them are 8 cm find the are of trapezium.

 

Problem type -9

1- If the area of trapezium is 144 sq m, Its two parallel lines are 3 m and 6 m . find the distance between them.

Problem type -10

1- If the area of trapezium is 144 sq m Its height is 32 m. If one of the parallel side is 6 m, find the other parallel side.