Class 6: Maths Chapter 8 solutions. Complete Class 6 Maths Chapter 8 Notes.
Contents
Maharashtra Board Solutions Class 6-Maths (Practice Set 22): Chapter 8- Divisibility
Maharashtra Board 6th Maths Chapter 8, Class 6 Maths Chapter 8 solutions
Question 1.
There are some flowering trees in a garden. Each tree bears many flowers with the same number printed on it. Three children took a basket each to pick flowers. Each basket has one of the numbers, 3, 4 or 9 on it. Each child picks those flowers which have numbers divisible by the number on his or her basket. If He / She takes only 1 flower from each tree. Can you tell which numbers the flowers in each basket will have?
Solution:
Each child will have flowers bearing the following numbers:
Girl with basket number 3: 111, 369, 435, 249, 666, 450, 960, 432, 999, 72, 336, 90, 123, 108
Boy with basket number 4: 356, 220, 432, 960, 72, 336, 108
Girl with basket number 9: 369, 666, 450, 432, 999, 72, 90, 108
Questions and Activities
Question 1.
Read the numbers given below. Which of these numbers are divisible by 2, by 5, or by 10? Write them in the empty boxes. 125,364,475,750,800,628,206,508,7009,5345,8710. (Textbook pg. no. 43)
| Divisible by 2 | Divisible by 5 | Divisible by 10 |
Solution:
| Divisible by 2 | Divisible by 5 | Divisible by 10 |
| 364,750, 800, 628, 206, 508, 8710 | 125,475, 750, 800, 5345, 8710 | 750, 800, 8710 |
Question 2.
Complete the following table: (Textbook pg. no. 43)
| Number | Sum of digits in the number | Is the sum divisible by 3? | Is the given number divisible by 3? |
| 63 | 6 + 3 = 9 | ✓ | ✓ |
| 872 | 17 | X | X |
| 91 | |||
| 552 | |||
| 9336 | |||
| 4527 |
Solution:
| Number | Sum of digits in the number | Is the sum divisible by 3? | Is the given number divisible by 3? |
| 63 | 6 + 3 = 9 | ✓ | ✓ |
| 872 | 8 + 7 + 2 = 17 | X | X |
| 91 | 9 + 1 = 10 | X | X |
| 552 | 5 + 5 + 2 = 12 | ✓ | ✓ |
| 9336 | 9 + 3 + 3 + 6 = 21 | ✓ | ✓ |
| 4527 | 4 + 5 + 2 + 7 = 18 | ✓ | ✓ |
Question 3.
Complete the following table: (Textbook pg. no. 44)
| Number | Divide the number by 4. Is it completely divisible? | The number formed by the digits in the tens and units places. | Is this number divisible by 4? |
| 992 | ✓ | 92 | ✓ |
| 7314 | |||
| 6448 | |||
| 8116 | |||
| 7773 | |||
| 3024 |
Solution:
| Number | Divide the number by 4. Is it completely divisible? | The number formed by the digits in the tens and units places. | Is this number divisible by 4? |
| 992 | ✓ | 92 | ✓ |
| 7314 | X | 14 | X |
| 6448 | ✓ | 48 | ✓ |
| 8116 | ✓ | 16 | ✓ |
| 7773 | X | 73 | X |
| 3024 | ✓ | 24 | ✓ |
Question 4.
Complete the following table: (Textbook pg. no. 44)
| Number | Divide the number by 9. Is it completely divisible? | Sum of the digits in the number. | Is the sum divisible by 9? |
| 1980 | ✓ | 1 + 9 + 8 + 0 = 18 | ✓ |
| 2999 | X | 2 + 9 + 9 + 9 = 29 | X |
| 5004 | |||
| 13389 | |||
| 7578 | |||
| 69993 |
Solution:
| Number | Divide the number by 9. Is it completely divisible? | Sum of the digits in the number. | Is the sum divisible by 9? |
| 1980 | ✓ | 1 + 9 + 8 + 0 = 18 | ✓ |
| 2999 | X | 2 + 9 + 9 + 9 = 29 | X |
| 5004 | ✓ | 5 + 0 + 0 + 4 = 9 | ✓ |
| 13389 | X | 1 + 3 + 3 + 8 + 9 = 24 | X |
| 7578 | ✓ | 7 + 5 + 7 + 8 = 27 | ✓ |
| 69993 | ✓ | 6 + 9 + 9 + 9 + 3 = 36 | ✓ |
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Maharashtra Board Solutions Class 6-Maths (Practice Set 22): Chapter 8- Divisibility
Chapterwise Maharashtra Board Solutions Class 6 Maths :
- Chapter 1- Basic Concepts in Geometry (Practice Set 1)
- Chapter 2- Angles (Practice Set 2)
- Chapter 2- Angles (Practice Set 3)
- Chapter 3- Integers (Practice Set 4)
- Chapter 3- Integers (Practice Set 5)
- Chapter 3- Integers (Practice Set 6)
- Chapter 3- Integers (Practice Set 7)
- Chapter 3- Integers (Practice Set 8)
- Chapter 4- Operations on Fractions (Practice Set 9)
- Chapter 4- Operations on Fractions (Practice Set 10)
- Chapter 4- Operations on Fractions (Practice Set 11)
- Chapter 4- Operations on Fractions (Practice Set 12)
- Chapter 4- Operations on Fractions (Practice Set 13)
- Chapter 5- Decimal Fractions (Practice Set 14)
- Chapter 5- Decimal Fractions (Practice Set 15)
- Chapter 5- Decimal Fractions (Practice Set 16)
- Chapter 5- Decimal Fractions (Practice Set 17)
- Chapter 6- Bar Graphs (Practice Set 18)
- Chapter 6- Bar Graphs (Practice Set 19)
- Chapter 7- Symmetry (Practice Set 20)
- Chapter 7- Symmetry (Practice Set 21)
- Chapter 8- Divisibility (Practice Set 22)
- Chapter 9- HCF-LCM (Practice Set 23)
- Chapter 9- HCF-LCM (Practice Set 24)
- Chapter 9- HCF-LCM (Practice Set 25)
- Chapter 10- Equations (Practice Set 26)
- Chapter 10- Equations (Practice Set 27)
- Chapter 11- Ratio-Proportion (Practice Set 28)
- Chapter 11- Ratio-Proportion (Practice Set 29)
- Chapter 12- Percentage (Practice Set 30)
- Chapter 13- Profit-Loss (Practice Set 31)
- Chapter 13- Profit-Loss (Practice Set 32)
- Chapter 13- Profit-Loss (Practice Set 33)
- Chapter 13- Profit-Loss (Practice Set 34)
- Chapter 14- Banks and Simple Interest (Practice Set 35)
- Chapter 15- Triangles and their Properties (Practice Set 36)
- Chapter 16- Quadrilaterals (Practice Set 37)
- Chapter 16- Quadrilaterals (Practice Set 38)
- Chapter 17- Geometrical Constructions (Practice Set 39)
- Chapter 17- Geometrical Constructions (Practice Set 40)
- Chapter 18- Three Dimensional Shapes (Practice Set 41)
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