**Download Ratio and Proportion Worksheets Grade 5**

Q.1) Compare the ratios 3 : 2 and 1 : 3 ?

a) 3 : 2 > 1 : 3

b) 3 : 2 < 1 : 3

Q.2) Divide ₹ 1200 between A and B in the ratio 3 : 5 ?

a) A = ₹ 750 , B = ₹ 450

b) A = ₹ 450 , B = ₹ 750

c) A = ₹ 700 , B = ₹ 500

Q.3) Find the missing terms: 18 : 20 : : _______ : 10 ?

a) 15

b) 12

c) 9

Q.4) Find the ratio of 30 g to 3 kg ?

a) 1 : 100

b) 100 : 1

c) 100 : 3

Q.5) Are 5 , 4 , 5 , 7 in proportion ?

a) No

b) Yes

Q.6) Hari can walk 12 km in 3 hours . How much can he walk in 8 hours , If he maintains the same speed all the time ?

a) 29 km

b) 34 km

c) 32 km

Q.7) If 6 oranges cost ₹ 36 . What is the cost of 5 oranges ?

a) ₹ 30

b) ₹ 33

c) ₹ 26

Q.8) Convert the ratio 15 : 20 in its simplest form ?

a) 3 : 4

b) 4 : 3

c) 5 : 3

Q.9) Write the ratio for the Fraction 6/7 ?

a) 6 : 5

b) 1 : 6

c) 6 : 7

Q.10) If the two numbers are in the ratio 4 : 3 and the sum of the two numbers is 56 . Find the two numbers ?

a) First number = 28 , Second number = 20

b) First number = 24 , Second number = 32

c) First number = 32 , Second number = 24

### Ratio and Proportion Worksheets Grade 5 Explanations

**Q.1) Explanation – Ratio and Proportion Worksheets Grade 5**

We can write

3 : 2 = 3/2 and 1 : 3 = 1/3

To find, Which Ratio is greater, we would need to convert the two Ratios into Like Fractions

LCM of Denominator 2 and 3 is 6

Making the Denominator of each Fraction equal to 6

In case of Like Fractions, the Fraction whose numerator is greater is larger. Hence we can say 9/6 > 2/6

That is 3/2 > 1/3

Hence, 3 : 2 > 1 : 3

**Correct Answer – a) 3 : 2 > 1 : 3**

**Q.2) Explanation – Ratio and Proportion Worksheets Grade 5 **

Total Sum of money = ₹ 1200

Given ratio = 3 : 5

Sum of ratio terms = ( 3 + 5 ) = 8

A would receive 3/8 part of ₹ 1200

B would receive 5/8 part of ₹ 1200

That is,

A ‘s share = ₹ ( 1200 x 3/8 ) = ₹ 450

B ‘s share = ₹ ( 1200 x 5/8 ) = ₹ 750

**Correct Answer – b) A = ₹ 450 , B = ₹ 750**

**Q.3) Explanation – Ratio and Proportion Worksheets Grade 5**

Let the missing term be y

Then we can say

18/20 = y/10

On cross multiplication we get,

18 x 10 = y x 20

180 = 20 y

20 y = 180

y = 180/20

y = 9

So, the missing number is 9

**Correct Answer – c) 9**

**Q.4) Explanation – Ratio and Proportion Worksheets Grade 5**

To find the ratio of two Quantities, we need to convert them into same Unit.

Converting both the Quantities in the same unit,

Since, 1 kg = 1000 g

3 kg = 3 x 1000 g

= 3000 g

Now the ratio becomes, 30 g : 3000 g

Or 30/3000

Now,

Dividing 30 and 3000 by their H.C.F 30

The given fraction would be

= 1/100

Therefore, the required ratio is 1 : 100

**Correct Answer – a) 1 : 100**

**Q.5) Explanation – Ratio and Proportion Worksheets Grade 5**

If four numbers are in proportion, then the

Product of Means of the numbers = Product of Extremes of the numbers

Here, Means are 4 and 5

Extremes are 5 and 7

Product of Extremes = 4 x 5 = 20

Product of Means = 5 x 7 = 35

Since, Product of Extremes ≠ Product of Means

Hence, 5 , 4 , 5 , 7 are not in proportion .

**Correct Answer – a) No**

**Q.6) Explanation – Ratio and Proportion Worksheets Grade 5**

Distance covered by Hari in 3 hours = 12 km

In unitary method first of all we find the value of unit quantity and then find the value of given quantity

Distance covered by Hari in 1 hours = 12/3 km ( Lower the time, Lower the distance )

Now,

Distance covered by Hari in 8 hours = ( 12/3 x 8 ) km ( Higher the time, Higher the distacne )

= 32 km

Therefore, the Distance covered by Hari in 8 hours is 32 km

**Correct Answer – c) 32 km**

**Q.7) Explanation – Ratio and Proportion Worksheets Grade 5**

Cost of 6 oranges = ₹ 36

In unitary method first of all we find the value of unit quantity and then find the value of given quantity

Cost of 1 orange = ₹ 36/6 ( Less Quantity, Less Cost )

Now,

Cost of 5 oranges = ₹ ( 36/6 x 5 ) ( More Quantity, More Cost )

= ₹ 30

Therefore, the cost of 5 oranges is ₹ 30

**Correct Answer – a) ₹ 30**

**Q.8) Explanation – Ratio and Proportion Worksheets Grade 5**

Ratio = 15 : 20

Ratio can be reduced to its Simplest form by Dividing the two terms by their H.C.F.

H.C.F of 15 and 20 is 5

Now, Dividing 15 and 20 by their H.C.F 5

= 3/4

Therefore, the Simplest form of 15 : 20 is 3 : 4** **

**Correct Answer – a) 3 : 4**

**Q.9) Explanation – Ratio and Proportion Worksheets Grade 5**

Given Fraction = 6/7

If any two numbers “a” and “b”are written as a Fraction a/b and cannot be further simplified, then the ratio for the Fraction can be written as

a : b ( : represents the sign of Ratio )

On comparing the given Fraction with a/b

We get

a = 6 and b = 7

6 : 7

Hence, ratio of the Fraction 6/7 is 6 : 7

**Correct Answer – c) 6 : 7**

**Q.10) Explanation – Ratio and Proportion Worksheets Grade 5**

Given Ratio of two numbers is = 4 : 3

Sum of the numbers is = 56

Sum of ratio terms = ( 4 + 3 )

= 7

First number = 4/7 of Sum of the given numbers

Second number = 3/7 of Sum of the given numbers

Therefore,

First number = 4/7 x 56 = 32

Second number = 3/7 x 56 = 24

So, the two numbers are 32 , 24

**Correct Answer – c) First number = 32 , Second number = 24**