**Ratio and
Proportion Class 6 Worksheet with Answers**

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**Ratio and
Proportion Class 6 Worksheet 1 with Answers**

**1. **In a shopping store, gift worth ₹400 is given to a customer
who purchases goods worth ₹8000. Another store offers gift worth ₹225
for purchase of ₹6750. Which store must the customer choose?

**2.
**Fill in the blanks:

a.
The ratio 2/3 : 3/4 is equal to ___________ when written in the simplest form.

b.
The ratio of 16 hours to 1 day is equal to ___________.

c.
For what value of *x *is 3, 4, 18, *x *in proportion?

d.
For what value of *x *is *x*, 2, 6, 12 in proportion?

e. 40 kg : 50 kg
= 8 g : ___________ g.

**3.
**Write the following ratios in the simplest
form:

a.
325 m to 1 km

b.
Rs 25 to 60 p

c.
120 students to 2045 students

d.
3 hours 25 minutes to 5 hours 10 minutes

**4.
**State true or false for each of the following
statements:

a.
If *a*, *b*, *c*, *d *are proportional then *a *: *b
*= *d *: *c*.

b.
The ratio of 54 kg and 36 gm is 3 : 2.

c.
If 15 : 20 = 27 : 36 then 15 and 36 are called the extremes.

**5.
**Speed of two trains are in the ratio 5 : 8. If
the speed of the faster train is 160 km/h. Find the speed of the slower train.

**6.
**Nisha drives her car at a uniform speed of 35
km/h. How much time will she take to cover a distance of 420 km?

**7.
**Choose the correct answer for each of the
following:

a.
If *a*, *b*, *c *and *d *are such that *a *: *b *=
*c *: *d *then the numbers said to be in

i. ratio

ii. divisible

iii. proportion

iv. extremes

b. The ratio of text books and
exercise books of a student having 12 text books and 42 exercise books is

i. 42 : 12

ii. 2 : 7

iii. 12 : 20

iv. none of these

c. In a class of 40 students, 25
students are girls and rest are boys. Ratio of girls to boys is

i. 5 : 3

ii. 3 : 5

iii. 15 : 20

iv. none of these

d.
Ratios 7 : 9 and 8 : 11 are

i. equal

ii.
first is less than the second

iii. none of these

iv. first is
greater than the second

**8. **Ritu scored 60 out of 80 in history and 50 out of 70 in home
science examination. Which performance was better?

**9. **If a bouquet of flower costs ₹150, what is the cost of 14
such bouquets?

**Ratio
and Proportion Class 6 Worksheet 2 with Answers**

**1.
**If the following quantities are in proportion,
find *x*.

a.
10, 15, 30 and *x *

b.
128, 176, *x *and 11

c.
45, *x*, 25 and 20

d.
*x*, 44, 66 and 88

**2.
**Choose the correct answer for each of the
following:

a.
In the ratio *a *: *b*, *a *is said to

i. consequent

ii. antecedent

iii. proportion

iv. fraction

b.
The two quantities of a ratio is of same

i. unit

ii. value

iii. quantity

iv. different

c.
If *x *: 4 = 6 : 12, then *x *is equal to

i. 8

ii. 2

iii. 6

iv. 12

d
The ratio of 4 months to 3 years in the simplest form is

i. 4 : 3

ii. 1 : 9

iii. 1 : 12

iv. 3 : 4

**3.
**Match each of the following:

a.
The ratio of 1 litre to 200 mL is i.
189

b.
The units of the two terms of a ratio is ii.
unequal

c. If 21, *x*, 3* *and 27* *are in
proportion, then *x *is equal to iii. 5:1

d.
2 : 36 and 35 : 63 are iv. Same

e. The ratio of length to breadth of a
field is 5:3.

If width is 27 m, then their length is
v.
45 m

**4. **The price of two types of TV A and B is in the
ratio of 3 : 5. If the price of B is ₹5000, then find the price of A.

**5. **Fill in the blanks.

a.
The ratio of 3 hours to 45 minutes is ___________.

b.
The number 8, 10, 16 and 20 are ___________.

c.
If *x*, 9, 20 and 45 are in proportion, then *x *is equal to
___________.

d.
The ratio of student and teacher in a school of 2400 students and 75 teachers
is _________.

**6.
**₹250 is divided among two boys in the
ratio 2 : 3. Find the amount received by each.

**7**. Nitu scored 30 out of 50 and Rishabh scored 60 out of 80.
Compare the two scores. Which of these two has better score?

**8. **If 4 kg sugar is needed for 10 people, how much sugar will be
required for 25 people?

**9. **In a school, class X has two sections. In one section of 50
students, the ratio of the boys to girls is 2 : 3. In another section of 64
students, the ratio is 3 : 5. Find the ratio of the boys to the girls of class
X.

**10.
**In a class of 45 students, 20 of them are of
height above 4 feet. Find the ratio of the students who are above 4 feet to
those who are below 4 feet.

**Ratio
and Proportion Class 6 Worksheet 3 with Answers**

**1. **Weight of two boxes of mangoes is in the ratio 3 : 4. If the
lighter box weights 15 kg, find the
weight of the heavier box.

**2. **In a mixture, the ratio of turpentine and kerosene is 1 : 4. Find
the amount of turpentine and kerosene in 45 litres of mixture.

**3.
**In a school of 2400 students, 300 opted for Quiz
club, 600 opted for games club and 750 opted for nature club. Find the ratio of
each individual club to the total number of students.

**4.
**One shop is giving a gift voucher of ₹4000
for a purchase of ₹10000. Another shop is giving a gift voucher worth ₹5000
for a purchase of ₹12000. Which one is a better offer?

**5. **The ages of Anoop and Shreya are in the ratio of 7 : 4. If Shreya’s
age is 16 years, find Anoop’s age.

**6. **The ratio of the present ages of two brothers is 5 : 7. If the
elder one is 21 years old, what will be the ratio of their ages 6 years hence?

**7. **The speed of a car and a bus are in the ratio 5 : 3. If the speed
of bus is 60 km/h, what is the speed of the car?

**8. **If the cost of two TV sets is ₹49,000. How many sets can
be bought in ₹1,96,000?

**9.
**Choose the correct answer for each of the
following:

a.
If 35 is divided in the ratio 3 : 4, then the 2 parts are ___________
___________.

b.
3 : 5 ___________ 7 : 9. [Use < or >]

c. Ratio of 5 kg to 250 g in the simplest form is ___________.

d.
The ratio between weight of gold and silver of an alloy is 19 : 5. If the
weight of silver in the alloy is 15 g, then weight of gold is ___________.

**10. **A sum of money is divided between two persons in the ratio 3 : 7.
If the larger amount is of ₹14000,
find original sum of money.

**Ratio
and Proportion Class 6 Worksheet 4 with Answers**

The following are the numbers shown on a die when it was rolled 25
times.

2, 4, 3, 4, 6, 6, 1, 5, 1, 2, 1, 6, 1, 3, 1, 2, 3, 4, 3, 6, 4, 5, 1, 2,
2

Based on the above, write the following ratios in the simplest form:

**1.** The ratio of ones to sixes.

**2.** The ratio of
the number of sixes to factors of 6.

**3.** The ratio of twos to fives.

**4.** The ratio of even numbers to the total number of
trials.

**5.** The ratio of the number of fours to odd numbers.

**6.** The ratio of odd numbers to the total number of
trials.

**7.** The ratio of numbers greater than 4 to total number
of trials.

**8.** The ratio of numbers greater than 3 to ones.

**9.** The ratio of composite numbers to ones.

**10.** The ratio of prime numbers to sixes.

**Ratio
and Proportion Class 6 Worksheet 5 with Answers**

**1.** In a park, the ratio of roses to lotus is 3 : 4. If
the number of roses is 150, then what is the number of lotuses?

**2.** The sides of a triangle are in the ratio 2 : 3 : 5.
If the perimeter of the triangle is 200 cm, then what are the lengths of the sides?

**3.** Compare the following ratios and tell which one is
bigger.

a. 7 : 5 and 4 : 3

b. 1 : 2 and 1 : 4

c. 2 : 3 and 4 : 5

**4.** In a society, there are 60 families. If 20 of them
like a TV channel A, 25 like TV channel B and the rest like TV channel C. What is the
ratio of the number of families who like channels A, B and C, respectively?

**5.** 210 toffees were distributed between Shashank,
Mangala and Sneha. If Mangala received double number of toffees than Shashank and Sneha
received three times the number of toffees than Shashank, find the number
of toffees each one of them received.

**6.** Find the missing values of *x*, *y *and *z*.

a. 18 : 65 = *x *: 130

b. 2 : 5 = 12 : *y *

c. 4 : 7 = *z *: 28

**7.** In a day, Kuldeep sleeps for 7 hours, studies for 5
hours, spends 6 hours in school and rest of the hours in miscellaneous activity. Find
the following:

a. Ratio of number of hours spent in sleeping to
studying.

b. Ratio of number of hours spent in school to the
total number of hours.

**8.** Find the value of *x *in the following
proportions.

a. 15, 30, 6, *x *

b. 200, 500, *x*, 100

c. 20, *x*, 60, 150

**9.** In a school, the ratio of girls to boys is 6 : 7. If
the total number of students is 2600, what is the number of girls and boys? What is the
difference between the number of girls and boys?

**10.** The ages of Navin and Riya are in the
ratio 4 : 5. After 6 years, their ages will be in the ratio 6 : 7. What are their present ages?

**ANSWERS**

**Worksheet 1**

1. The first store

2. a. 8 : 9 b. 2 : 3

c. 24 d. 1

e. 10

3. a. 13 : 40 b. 125 : 3

c. 24 : 409 d. 41 : 62

4. a. False b. False

c. True

5. 100 km/h

6. 12 hours

7. a. iii b. ii

c. i d. iv

8. In history

9. ₹ 2100

**Worksheet 2**

1. a. 45 b. 8

c. 36 d. 33

2. a. ii b. i

c. ii d. ii

3. a. iii b. iv

c. i d. ii

e. v

4. ₹ 3000

5. a. 4 : 1 b.
proportional

c. 4 d. 32 : 1

6. ₹ 100, ₹ 150

7. Rishabh scored better than Nitu

8. 10 kg

9. 22 : 35

10. 4 : 5

**Worksheet 3**

1. 20 kg

2. 9 L, 36 L

3. 1 : 8, 1 : 6, 5 : 16

4. Offer of second shop is better

5. 28 years

6. 7 : 9

7. 100 km/h

8. 8

9. a. 15 and 20 b. <

c. 20 : 1 d. 57 g

10. ₹ 20,000

**Worksheet 4**

1. 3 : 2 2. 1 : 1

3. 5 : 2 4. 13 : 25

5. 1 : 3 6. 12 : 25

7. 6 : 25 8. 5 : 3

9. 4 : 3 10. 11 : 4

**Worksheet 5**

1. 200

2. 40 cm, 60 cm, 100 cm

3. a. 7 : 5 > 4 : 3

b. 1
: 2 > 1 : 4

c. 2 : 3 < 4 : 5

4. 4 : 5 : 3

5. Shashank received 35 toffees

Mangala received 70
toffees

Sneha received 105
toffees

6. a. 36 b. 30

c. 16

7. a. 7 : 5 b. 1 : 4

8. a. 12 b. 40

c. 50

9. Girls: 1200; Boys: 1400

10. 12 years; 15 years

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