• Skip to main content
  • Skip to primary sidebar
  • Skip to footer
  • NCERT Solutions
    • NCERT Books Free Download
  • TS Grewal
    • TS Grewal Class 12 Accountancy Solutions
    • TS Grewal Class 11 Accountancy Solutions
  • CBSE Sample Papers
  • NCERT Exemplar Problems
  • English Grammar
  • MCQ Questions

CBSE Tuts

CBSE Maths notes, CBSE physics notes, CBSE chemistry notes

GSEB Solutions for Class 7 Mathematics – Square and Square Root

GSEB Solutions for Class 7 Mathematics – Square and Square Root (English Medium)

GSEB SolutionsMathsScience
Exercise

Solution 1:

gseb-solutions-class-7-mathematics-square-square-root-1

Solution 2:

The square of an odd number is an odd number and the square of an even number is an even number.

  1.  1985
    1985 has 5 at its unit’s place.
    Hence, the digit at the unit’s place of the square of 1985 will be 5 (5 × 5 = 25).
    ∴ The square of 1985 is an odd number.
  2.  253
    253 has 3 at its unit’s place.
    Hence, the digit at the unit’s place of the square of 253 will be 9 (3 × 3 = 9).
    ∴ The square of 253 is an odd number.
  3.  444
    444 has 4 at its unit’s place.
    Hence, the digit at the unit’s place of the square of 444 will be 6 (4 × 4 = 16).
    ∴ The square of 444 is an even number.
  4.  99
    99 has 9 at its unit’s place
    Hence, the digit at the unit’s place of the square of 99 will be 1 (9 × 9 = 81).
    ∴ The square of 99 is an odd number.

Solution 3:

If a number has x number of zeros as its last digits, the square of the number has 2x zeros as its last digits.

  1. 20
    The number 20 has one zero as its last digit.
    Hence, the square of 20 will have 2 × 1= 2 zeros as its last digits.
  2.  200
    The number 200 has two zeros as its last digits.
    Hence, the square of 200 will have 2 × 2 = 4 zeros as its last digits.
  3.  30
    The number 30 has one zero as its last digit.
    Hence, the square of 30 will have 2 × 1 = 2 zeros as its last digits.
  4. 700
    The number 700 has two zeros as its last digits.
    Hence, the square of 700 will have 2 × 2 = 4 zeros as its last digits.

Solution 4(1):

gseb-solutions-class-7-mathematics-square-square-root-4(1)

Solution 4(2):

gseb-solutions-class-7-mathematics-square-square-root-4(2)

Solution 4(3):

gseb-solutions-class-7-mathematics-square-square-root-4(3)

Solution 4(4):

gseb-solutions-class-7-mathematics-square-square-root-4(4)

Solution 4(5):

gseb-solutions-class-7-mathematics-square-square-root-4(5)

Solution 4(6):

gseb-solutions-class-7-mathematics-square-square-root-4(6)

Solution 4(7):

gseb-solutions-class-7-mathematics-square-square-root-4(7

Solution 4(8):

gseb-solutions-class-7-mathematics-square-square-root-4(8)

Solution 5(1):

gseb-solutions-class-7-mathematics-square-square-root-5(1)

Solution 5(2):

gseb-solutions-class-7-mathematics-square-square-root-5(2)

Solution 5(3):

gseb-solutions-class-7-mathematics-square-square-root-5(3)

Solution 5(4):

gseb-solutions-class-7-mathematics-square-square-root-5(4)

Solution 5(5):

gseb-solutions-class-7-mathematics-square-square-root-5(5)

Solution 6(1):

gseb-solutions-class-7-mathematics-square-square-root-6(1)

Solution 6(2):

gseb-solutions-class-7-mathematics-square-square-root-6(2)

Solution 6(3):

gseb-solutions-class-7-mathematics-square-square-root-6(3)

Solution 6(4):

gseb-solutions-class-7-mathematics-square-square-root-6(4)

Solution 7(1):

gseb-solutions-class-7-mathematics-square-square-root-7(1)

Solution 7(2):

gseb-solutions-class-7-mathematics-square-square-root-7(2)

Solution 7(3):

gseb-solutions-class-7-mathematics-square-square-root-7(3)

Solution 7(4):

gseb-solutions-class-7-mathematics-square-square-root-7(4)

Practice – 1

Solution 1:

  1. 102 = 10 × 10 = 100
  2.  112 = 11 × 11 = 121
  3.  132 = 13 × 13 = 169
  4.  182 = 18 × 18 = 324
  5. 322 = 32 × 32 = 1024
  6.  462 = 46 × 46 = 2116

Practice – 2

Solution 1:

If the given number is a square of a number, it is called a perfect square number.
If your roll number is a perfect square number, it must have either 0, 1, 4, 5, 6 or 9 at its unit place.
If your roll number has 2, 3, 7, or 8 at its unit place, it can never be a perfect square number.

Solution 2:

Perfect squares between 1 to 100 are as follows:
1 × 1= 1
2 × 2 = 4
3 × 3 = 9
4 × 4 =16
5 × 5 = 25
6 × 6 = 36
7 × 7 = 49
8 × 8 = 64
9 × 9 = 81
10 × 10 = 100
Hence, there are ten perfect squares between 1 and 100. They are 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.

Solution 3:

If the number is a perfect square it must have 0, 1, 4, 5, 6 or 9 at its units place.
If the number has 2, 3, 7 or 8 at its units place, it can never be a perfect square.
gseb-solutions-class-7-mathematics-square-square-root-3

Solution 4:

If the number has 2, 3, 7, or 8 at its units place, it can never be a perfect square.
Hence, given below are those numbers wherein looking at their units place, it can be concluded that they are not perfect squares.
2
43
307
2008
2302
28
2167
13
102
1237

Practice – 3

Solution 1:

1. 752 = 75 × 75 = 5625
The consecutive number to 7 is 8 and 8 × 7 = 56.
Write 25 to the right of the product i.e. 56.
Hence, the square of 75 is 5625.
2. 652 = 65 × 65 = 4225
The consecutive number to 6 is 7 and 7 × 6 = 42.
Write 25 to the right of the product i.e. 42.
Hence, the square of 65 is 4225.
3. 852 = 85 × 85 = 7225
The consecutive number to 8 is 9 and 9 × 8 = 72.
Write 25 to the right of the product i.e. 72.
Hence, the square of 85 is 7225.
4. 1052 = 105 × 105 = 11025
The consecutive number to 10 is 11 and 11 × 10 = 110.
Write 25 to the right of the product i.e. 11025.
Hence, the square of 105 is 11025.

Practice – 4

Solution 1(1):

gseb-solutions-class-7-mathematics-square-square-root-1(1)

Solution 1(2):

gseb-solutions-class-7-mathematics-square-square-root-1(2)

Solution 1(3):

gseb-solutions-class-7-mathematics-square-square-root-1(3)

Solution 1(4):

gseb-solutions-class-7-mathematics-square-square-root-1(4)

Solution 1(5):

gseb-solutions-class-7-mathematics-square-square-root-1(5)

Solution 1(6):

gseb-solutions-class-7-mathematics-square-square-root-1(6)

Solution 1(7):

gseb-solutions-class-7-mathematics-square-square-root-1(7)

Solution 1(8):

gseb-solutions-class-7-mathematics-square-square-root-1(8)

Solution 1(9):

gseb-solutions-class-7-mathematics-square-square-root-1(9_

Solution 1(10):

gseb-solutions-class-7-mathematics-square-square-root-1(10)

Solution 2:

If the number has 2, 3, 7, or 8 at its units place, it can never be a perfect square.
The unit’s digit in 42 is 2.
∴ 42 is not a perfect square.
The unit’s digit in 50 is 0.
∴ 50 can be a perfect square.
Indivisible factors of 50 = 2 × 5 × 5
Here, the prime factor 5 forms a pair but the prime factor 2 does not form a pair.
∴ 50 is not a perfect square.

Practice – 5

Solution 1(1):

gseb-solutions-class-7-mathematics-square-square-root-1(1)

Solution 1(2):

gseb-solutions-class-7-mathematics-square-square-root-1(2)

Solution 1(3):

gseb-solutions-class-7-mathematics-square-square-root-1(3)

Solution 1(4):

gseb-solutions-class-7-mathematics-square-square-root-1(4)

Solution 1(5):

gseb-solutions-class-7-mathematics-square-square-root-1(5)

Primary Sidebar

NCERT Exemplar problems With Solutions CBSE Previous Year Questions with Solutoins CBSE Sample Papers

Recent Posts

  • MCQ Questions with Answers for Class 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, and 1 all Subjects
  • Angle, Types of Angles
  • AND gate is formed by using two? 1)OR 2)NAND 3)NOT 4)NOR
  • And expression for one minus the quotient of one and a number X?
  • What is average human body temperature in Kelvins?
  • How many moles of caffeine are in a cup, and how many molecules of caffeine?
  • How far will the car have traveled in that time?
  • What is its atomic number?
  • How many neutrons does it have?
  • An atom loses electrons to form what?
  • What is the atomic number of this atom?
  • Which one of these is the answer?
  • What is its concentration?
  • Can an equilateral triangle also be isosceles?
  • What is the charge of an alpha particle?

Footer

Maths NCERT Solutions

NCERT Solutions for Class 12 Maths
NCERT Solutions for Class 11 Maths
NCERT Solutions for Class 10 Maths
NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 7 Maths
NCERT Solutions for Class 6 Maths

SCIENCE NCERT SOLUTIONS

NCERT Solutions for Class 12 Physics
NCERT Solutions for Class 12 Chemistry
NCERT Solutions for Class 11 Physics
NCERT Solutions for Class 11 Chemistry
NCERT Solutions for Class 10 Science
NCERT Solutions for Class 9 Science
NCERT Solutions for Class 7 Science
MCQ Questions NCERT Solutions
CBSE Sample Papers
cbse ncert
NCERT Exemplar Solutions LCM and GCF Calculator
TS Grewal Accountancy Class 12 Solutions
TS Grewal Accountancy Class 11 Solutions