Squares and Square Roots – Maharashtra Board Class 6 Solutions for Mathematics

Squares and Square Roots – Maharashtra Board Class 6 Solutions for Mathematics (English Medium)

MathematicsGeneral ScienceMaharashtra Board Solutions

Exercise-24

Solution 1:

1. 5
   Square of 5
   = 5 × 5
   = 25
2. 10
   Square of 10
   = 10 × 10
   = 100
3. 16
   Square of 16
   = 16 × 16
   = 256
4. 25
   Square of 25
   = 25 × 25
   = 625
5. 110
   Square of 110
   = 110 × 110
   = 12,100

Exercise-25

Solution 1:

1. 6²
   Square of six
   = 6 × 6
   = 36
2. 11²
   Square of eleven
   = 11 × 11
   = 121
3. 14²
   Square of fourteen
   = 14 × 14
   =196
4. 65²
   Square of sixty-five
   = 65 × 65
   = 4225
5. 552
   Square of fifty-five
   = 55 × 55
   = 3025
6. 18²
   Square of eighteen
   = 18 × 18
   = 324
7. 67²
   Square of sixty-seven
   = 67 × 67
   = 4489
8. 109²
   Square of one hundred and nine
   = 109 × 109
   =11,881
9. 121²
   Square of one hundred and twenty-one
   = 121 × 121
   =14,641
10. 112²
    Square of one hundred and twelve
    = 112 × 112
    =12,544
11. 91²
    Square of ninety-one
    = 91 × 91
    = 8,281
12. 200²
    Square of two hundred
    = 200 × 200
    = 40,000

Exercise-26

Solution 1:

1. 85
   The number formed by the digits in the number, other than 5 in the units place = 8
   The number following this number = 9
   The product of these two numbers = 8 × 9 = 72
   The number obtained by writing 25 in front of this number = 7225
   ∴ 85² = 7,225
2. 55
   The number formed by the digits in the number, other than 5 in the units place = 5
   The number following this number = 6
   The product of these two numbers = 5 × 6 = 30
   The number obtained by writing 25 in front of this number = 3025
   ∴ 55² = 3,025
3. 75
   The number formed by the digits in the number, other than 5 in the units place = 7
   The number following this number = 8
   The product of these two numbers = 7 × 8 = 56
   The number obtained by writing 25 in front of this number = 5625
   ∴ 75² = 5,625
4. 95
   The number formed by the digits in the number, other than 5 in the units place = 9
   The number following this number =10
   The product of these two numbers = 9 × 10 = 90
   The number obtained by writing 25 in front of this number = 9025
   ∴ 95² = 9,025
5. 115
   The number formed by the digits in the number,
   ther than 5 in the units place = 11
   The number following this number = 12
   The product of these two numbers = 11 × 12 = 132
   The number obtained by writing 25 in front of this number = 13225
   ∴ 115² = 13,225
6. 205
   The number formed by the digits in the number, other than 5 in the units place = 20
   The number following this number = 21
   The product of these two numbers = 20 × 21 = 420
   The number obtained by writing 25 in front of this number = 42025
   ∴ 205² = 42,025
7. 185
   The number formed by the digits in the number, other than 5 in the units place = 18
   The number following this number = 19
   The product of these two numbers = 18 ×1 9 = 342
   The number obtained by writing 25 in front of this number = 34225
   ∴ 185² = 34,225
8. 105
   The number formed by the digits in the number, other than 5 in the units place = 10
   The number following this number = 11
   The product of these two numbers = 10 × 11 = 110
   The number obtained by writing 25 in front of this number = 11025
   ∴ 105² = 11,025

Exercise-27

Solution 1(1):

Solution 1(2):

Solution 1(3):

Solution 1(4):

Solution 1(5):

Solution 1(6):

Solution 1(7):

Solution 1(8):

Solution 1(9):

Solution 1(10):