NCTB Class 6 Math Chapter Two Exercise 2.1 Solution

NCTB Class 6 Math Chapter Two Exercise 2.1 Solution by Math Expert. Bangladesh Board Class 6 Math Solution Chapter 2  Ratio’s & Percentages Exercise 2.1 Solution.

Board

NCTB

Class

6

Subject

Mathematics

Chapter

2

Chapter Name

Ratio’s & Percentages

Exercise

2.1 Solution

 

Exercise -2.1

(1)Express the following pairs of number as the ratio of the first and second quantities:

(1) (c) 1year 2momths and 7 months

=1 year 2month: 7m

= (12+2) :7

= 14:7

= 2:1 Answer.

(1)(d) 7 kg and 2kg 300 gram

7kg : 2kg 300gm.

= (7×1000) : (2×1000+300)

= 7000:2300

= 70:23 Answer.

(2)Simplify the following ratios:

(2) (a) 9:12

= 3:4

(2) (b) 15:21

= 5:7

(2) (c) 45: 36

= 15:12

= 5:4

(2)(d) 65:26

= 5:2 Answer.

(3) Fill in the gaps of the following equivalent ratios:

(4) The ratio of length and breadth of a hall room is 2:5. Putting the possible values of length and breadth in the gaps, complete the following table.

Breadth of hall room (m.) 10 40 160
Length of hall room (m.) 25 50 200

 

Solution:-

Breadth of hall room (m.) 10 20 40 80 160
Length of hall room (m.) 25 50 100 200 400

(5) Identify the equivalent ratios of the followings:

Solution:- 12:18 = 2:3

6:18 = 2:6

= 1:3

15:10 = 3:2

3:2 = 3:2

6:9 = 2:3

2:3 = 2:3

1:3 =1:3

2:6 = 1:3

12:8 = 3:2

Therefore, 12:18; 6:9; 2:3 are equivalent

6:18, 2:6, 1:3 are equivalent

15:10, 3:2’ 12:8 are equivalent.

(7) Express the ratio 9:16 as inverse ratios:

Solution:- 9:16 — Inverse Ratio = 16:9

(8) Which one of the following ratios are unit ratios:

(8) (a) 16: 13

= 16:13 = This is not

(8) (b) 13:17

= 13:17 = This is not

(8) (c) 21:21 = 1:1 = This is unit ratio.

(9) Divide TK. 550 in the ratios of 5:6 and 4:7.

(10) The ratio of the ages of father and son is 14:3. If the age of father is 56 years, what is the age of the son?

(11) The sum of two numbers is 630. Their ratio is 10:11. Determine two numbers.

(12) The ratio of the prices of two books is 84, what is the price of the first book?

(13) In the golden ornaments of 20grams of 18 carate the ratio of gold and alloy is 3:1. Determine the quantity of gold and alloy of those armaments.

(14) The ratio of time of coming and going to school from houses of two friends is 2:3. If the distance of school from the house of the first friend is 5 km., what is the distance of school from the house of the second friend?

(15) The ratio of milk and sugar in frumenty is 7:2. In frumenty the quantity of sugar is 4kg. What is the quantity of milk?

(16) The ratio of the prices of two computers is 5:6. If the price of the first computer is TK. 25,000/-, what is the price of the second computer? In case of price hike if the price of the first computer is increased by TK. 5,000/-, what type of ratio of their prices will be?

 

Updated: December 2, 2020 — 10:07 am

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