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1. NCERT Solutions - Mathematics, Class 6

CHAPTERS

1. Knowing Our Numbers

2. Whole Numbers

3. Playing With Numbers

4. Basic Geometrical Ideas

5. Understanding Elementary Shapes

6. Integers

7. Fractions

8. Decimals

9. Data Handling

10. Mensuration

11. Algebra

12. Ratio and Proportion

13. Symmetry

EXERCISES

1. Exercise 11.1

2. Exercise 11.2

3. Exercise 11.3

4. Exercise 11.4

5. Exercise 11.5

Q1) Answer the following:

(a) Take Sarita’s present age to be y years.

(i) What will be her age 5 years from now?

(ii) What was her age 3 years back?

(iii) Sarita’s grandfather is 6 times her age. What is the age of her grandfather?

(iv) The grandmother is 2 years younger than grandfather. What is the grandmother’s age?

(v) Sarita’s father’s age is 5 years more than 3 times Sarita’s age. What is her father’s age?

(b) The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?

(c) A rectangular box has height h cm. Its length is 5 times the height and breadth is 10 cm less than the length. Express the length and the breadth of the box in terms of the height.

(d) Meena, Beena, and Leena are climbing the steps to the hilltop. Meena is at step s, Beena is 8 steps ahead and Leena 7 steps behind. Where are Beena and Meena? The total number of steps to the hilltop is 10 less than 4 times what Meena has reached. Express the total number of steps using s.

(e) A bus travels at v km per hour. It is going from Daspur to Beespur. After the bus has traveled for 5 hours. Beespur is still 20 km away. What id the distance from Daspur to Beespur? Express it using v.

Q2) Change the following statements using expressions into statements in ordinary language.

(For example, given Salim scores r runs in a cricket match, Nalin scores (r+15) runs. In ordinary language – Nalin scores 15 runs more than Salim).

(a) A notebook costs `p. The book costs 3p.

(b) Tony puts q marbles on the table. He has 8q marbles in his box.

(c) Our class has n students. The school has 20n students.

(d) Jaggu is z years old. His uncle is 4z years old and his aunt is (4z–3) years old. (e)In an arrangement of dots, there are r rows. Each row contains 5 dots.

Q3)

(a) Given, Munnu’s age to be x years. Can you guess what (x–2) may show? Can you guess what (x+4) may show? What (3x+7) may show?

(b) Given Sara’s age today to be y years. Think of her age in the future or in the past. What will the following expression indicate? y+7,y–3,y+4\frac{1}{2}, y-2\frac{1}{2}.

(c) Given, n students in the class like football, what may 2n show? What may \frac{n}{2} show?

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Mathematics

NCERT Solutions - Mathematics, Class 6

Knowing Our Numbers

Whole Numbers

Playing With Numbers

Basic Geometrical Ideas

Understanding Elementary Shapes

Integers

Fractions

Decimals

Data Handling

Mensuration

Algebra

Ratio and Proportion

Symmetry

Exercise 11.1

Exercise 11.2

Exercise 11.3

Exercise 11.4

Exercise 11.5

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