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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 10.1

2. Exercise 10.2

3. Exercise 10.3

Q1) Find the perimeter of each of the following figures:

(a)

(b)

(c)

(d)

(e)

(f)

Q2) The lid of a rectangular box of sides 40 cm by 10 cm is sealed all round with tape. What is the length of the tape required?

Q3) A table-top measures 2 m 25 cm by 1 m 50 cm. What is the perimeter of the table-top?

Q4) What is the length of the wooden strip required to frame a photograph of length and breadth 32 cm and 21 cm respectively?

Q5) A rectangular piece of land measures 0.7 km by 0.5 km. Each side is to be fenced with 4 rows of wires. What is the length of the wire needed?

Q6) Find the perimeter of each of the following shapes:

(a)A triangle of sides 3 cm, 4 cm, and 5 cm.

(b)An equilateral triangle of side 9 cm.

(c)An isosceles triangle with equal sides 8 cm each and third side 6 cm.

Q7) Find the perimeter of a triangle with sides measuring 10 cm, 14 cm, and 15 cm.

Q8) Find the perimeter of a regular hexagon with each side measuring 8 cm.

Q9) Find the side of the square whose perimeter is 20 m.

Q10) The perimeter of a regular pentagon is 100 cm. How long is its each side?

Q11) A piece of string is 30 cm long. What will be the length of each side if the string is used to form:

(a) a square

(b) an equilateral triangle

(c) a regular hexagon?

Q12) Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is the third side?

Q13) Find the cost of fencing a square park of side 250 m at the rate of 20 per meter.

Q14) Find the cost of fencing a rectangular park of length 175 m and breadth 125 m at the rate of Rs. 12 per meter.

Q15) Sweety runs around a square park of side 75 m. Bulbul runs around a rectangular park with a length of 60 m and breadth 45 m. Who covers less distance?

Q16) What is the perimeter of each of the following figures? What do you infer from the answer?

Q17) Avneet buys 9 square paving slabs, each with a side \frac{1}{2} m. He lays them in the form of a square

(a)What is the perimeter of his arrangement?

(b)Shari does not like his arrangement. She gets him to lay them out like a cross. What is the perimeter of her arrangement?

(c)Which has a greater perimeter?

(d)Avneet wonders, if there is a way of getting an even greater perimeter. Can you find a way of doing this? (The paving slabs must meet along complete edges, i.e., they cannot be broken.)

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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 10.1

Exercise 10.2

Exercise 10.3

Lido

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Race To Space

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