ratio and proportion / class 4-5 / knowledge hub

Problem type- 1

Express each of the ratio in simplest form

1- 24 : 40

2- 13.5 : 15

3- `\6frac2 3` : `\7frac1 2`

4- `\frac1 6` : `\frac1 9`

5- 4 : 5 : `\frac9 2`

6- 2.5 : 6.5 : 8  

Express each of the ratio in simplest form

1- 24 to 56

2- 36 to 90

3- 324 to 144

4- 85 and 561

5- 480 and 384

6- 186 and 403

7- 777 : 1147  

 

Problem type- 2

Express each of the ratio in simplest form

1- 75 paise : 3 rupees

2- 1m 5cm : 63 cm

3- 1 hour 5minutes : 45 minutes

4- 8 months : 1 year

5- 2 kg 250 g : 3kg

6- 1 km : 750m 

Express each of the ratio in simplest form

1- 84 paise to 3 rupees

2- 4 kg to 750 g

3- 1.8 kg to 6 kg

4- 48 minutes and 1hour

5- 2.4 km and 900m

 Problem type-3

1- Find the ratio of 15 and 25.

2- Find the ratio of 16 and 64.

3- Find the ratio of 4 and 6.

4- Find the ratio of 10 and 15.

5- Find the ratio of 65 and 39.    

 Problem type-4

1- Find the ratio of 12 g and 18 g.

2- Find the ratio of 96 m and 72 m.

3- Find the ratio of 45 ml and 81 ml.

4- Find the ratio of  Rs 15 and Rs 40.

5- Find the ratio of 100 p and 60 p.  

Problem type-5

1- Find the ratio of 6 m and 80 cm.

2- Find the ratio of 900 m and 9 km.

3- Find the ratio of 4500 ml and 9 l.

4- Find the ratio of  5 kg and Rs 400 g.

5- Find the ratio of Re 1 and 60 p. 

Problem type-6

1- Find the ratio of Rs 6.30 : Rs 16.80 in simplest form.

2- Find the ratio of 3 weeks : 30 days in simplest form.

3- Find the ratio of 48 min : 2 hours 40 min in simplest form.

4- Find the ratio of  1 L 35 mL : 270 mL in simplest form.

5- Find the ratio of 4 kg : 2kg 500 g in simplest form.

Problem type-7

1- Find the ratio in simplest form of 84 paise to Rs 3.

2- Find the ratio in simplest form of 4 kg to 750 g.

3- Find the ratio in simplest form of 1.8 kg to 6 kg.

4- Find the ratio in simplest form of 48 min to 1 hour.

5- Find the ratio in simplest form 2.4 km to 900 m. 

 

Problem type-8

1- If a : b = 3 : 5 and b : c = 6 : 7 then find a : b : c

2- If a : b = 2 : 3 and b : c = 4 : 5 then find a : b : c

3- If a : b = 7 : 9 and b : c = 15 : 7 then find a : b : c

4- If a : b = 7 : 8 and b : c = 5 : 9 then find a : b : c

5- If a : b = 4 : 5 and b : c = 7 : 10 then find a : b : c 

Problem type-9

1- If A : B = 7 : 5 and B : C = 6 : 7 then find A : C

2- If A : B = 5 : 8 and B : C = 16 : 25 then find A : C

3- If A : B = 7 : 9 and B : C = 15 : 7 then find A : C

Problem type-10

1- Divide Rs 1575 between kamal and madhu in the ratio 7 : 2

2- Divide Rs 3450 among A, B and C in the ratio 3 : 5 : 7

3- Divide Rs 1250 between mayank and ishita in the ratio 3 : 2

4- Divide Rs 1200 among Ravi, Amit and Monu in the ratio 2 : 3 :5

5- Divide Rs 7500 among Rohit, Mohit and Kabi in the ratio 3 :4 :5

6- Divide Rs 360 between Kunal and mohit in the ratio 7 : 8

7- Divide Rs 880 between rajan and kamal in the ratio `\frac1 5` and `\frac1 6` 

8- Divide Rs 5600 between A, B and C in the ratio 1 : 3 : 4   

Problem type-11

1- What must be added to each term of the ratio 9 : 16 to make the ratio 2 : 3

2- What must be added to each term of the ratio 7 : 13 to make the ratio 2 : 3

3- What must be added to each term of the ratio 49 : 68 to make the ratio 3 : 4

4- What must be added to each term of the ratio 3 : 5 so that the new ratio becomes 5 : 6

Problem type-12

1- What must be subtracted to each term of the ratio 3 : 2 to make the ratio 2 :5

1- What must be subtracted to each term of the ratio 17 : 33 so that the new ratio becomes 7 : 15

Problem type-13

1- Two numbers are in the ratio 7 : 11. If 7 is added to each of the numbers, the ratio becomes 2 : 3. Find the numbers.

Problem type-14

1- Two numbers are in the ratio 5 : 9. On subtracting 3 from each, the ratio becomes 1: 2. find the numbers.

2- Two numbers are in the ratio 5 : 9. If 8 subtracted from each the ratio becomes 4 : 5. Find the numbers.

Problem type-15

1- Two numbers are in the ratio 3 : 4. If their LCM is 180, Find the numbers. 

Problem type-16

1- Two numbers are in the ratio 11 : 12 and their sum is 460. Find the numbers.

2- Two numbers are in the ratio 6 : 7 and their sum is 650. Find the numbers.

3- Two numbers are in the ratio 5 : 4 and their sum is 162. Find the numbers. 

4- Two numbers are in the ratio 5 : 7. If the sum of the numbers is 720, Find the numbers.

Problem type-17

1- The boys and the girls in a school are in the ratio 9 : 5. If the total strength of the school is 448, find the number of girls.

2- A 35 cm line segment is divided into two parts in the ratio 4 : 3. find the length of each part

3-

Problem type-18

1- The ratio of copper and zinc in an alloy is 9 : 5. If the weight of copper in the alloy is 48.6 grams. Find the weight of zinc in the alloy.

2- The ratio of boys and girls in a school is 8 : 3. If the total number of girls is 375. Find the number of boys in the school.

3- The ratio of monthly income to the savings of a family is 11 : 2. If the savings is Rs 2500. Find the income and expenditure. 

 

Problem type-19

1- A bag contains Rs 750 in the form of rupee, 50 p and 25 p coins in the ratio 5 : 8 : 4. Find the number of coins of each type. 

Problem type-20

Which ratio is greater.

1- (5 : 6 ) or ( 7 : 9 )

2- (2 : 3 ) or ( 4 : 7 )

3- (1 : 2 ) or ( 4 : 7 )

4- (3 : 5 ) or ( 8 : 13 )  

Problem type-21

Arrange the following ratios in ascending order.

1- (5 : 6 ) , ( 7 : 9 ) , ( 11 : 18 )

2- (11 : 14 ) , ( 17 : 21 ) , ( 5 : 7 ) and ( 2 : 3 )

other types question

1- If ( 4x + 5 ) : ( 3x + 11 ) = 13 : 17, Find the value of x.

2- If x : y = 3 : 4, Find (3x + 4y) : (5x + 6y)

3- If x : y = 6 : 11, Find (8x - 3y) : (3x + 2y)

Problem type-22

1- Show that 30, 40, 45, 60 are in proportion.

2- Show that 22, 33, 42, 63 are in proportion.

3- Show that 2, 5, 8, 20 are in proportion.

4- Show that 45, 30, 3, 2 are in proportion.

5- Show that 9, 3, 15, 5 are in proportion.

Problem type-23

1- Show that 36, 49, 6, 7 are not in proportion.

2- Show that 30, 40, 45, 55 are not in proportion.

3- Show that 25, 36, 5, 6 are not in proportion.

Problem type-24

1- If X : 35 : : 48 : 60, than find the value of x

1- If 55 : 11 : : X : 6, than find the value of x

1- If 27 : X : : 63 : 84, than find the value of x

1- If 51 : 85 : : 57 : X, than find the value of x

1- If X : 92 : : 87 : 116, than find the value of x

Problem type-25

1- Find the fourth proportion of  numbers 8, 36, 6

2- Find the fourth proportion of  numbers 5, 7, 30

3- Find the fourth proportion of  numbers 2.8, 14, 3.5

Problem type-26

1- If 36, 54, x are in continued proportion, find the value of x

2- If 25, 35, x are in continued proportion, find the value of x 

3- If 48, 60, x are in continued proportion, find the value of x 

4- If 36, 90, x are in continued proportion, find the value of x 

5- If 16, 84, x are in continued proportion, find the value of x  

6- If 27, 36, x are in continued proportion, find the value of x  

Problem type-27  

1- In a proportion the 1st , 2nd, and 4th terms are 51, 68 and 108 respectively. find the third term.

2- The 1st, 3rd, and 4th terms of a proportion are 12, 8 and 14 respectively. find the 2nd term.

3- The first three terms of a proportion are 3, 5 and 21respectively. find the fourth term.

4- Find the fourth proportion of the number 8, 36, 6

5- Find the fourth proportion of the number 5, 7 and 30 

Problem type-28 

1- If 9, x, x, 49 are in proportion, find the value of x.

 

Problem type-29 

1- Find the third proportion to 8 and 12.

2- Find the third proportion to 12 and 18.

3- Find the third proportion to 4.5 and 6

4- Find the third proportion to 9 and 12