Math Assignment Class VIII | Square & Square Root CH-1

Math Assignment  Class VIII | Square & Square Root

Download or Print, free assignment with answer key for  Class 8  on SQUARE & SQUARE ROOT.  Important and extra questions that cover all topics of SQUARE & SQUARE ROOT and is useful and helpful for the students.

Math Assignment  Class VIII | Square & Square Root

Question 1: (a)Evaluate:          

Answer: 5

(b) Evaluate:  

Answer: 30
Question 2 : Evaluate:       

[Ans: 10]

Question 3: Write the two digit number which is perfect square as well as perfect cube.

Answer:  64

Reason: Square of 8 = 64 and cube of 4 is also 64. So required number = 64

Question 4: Find the number of non square numbers lying between  40² and 41²

Answer: 2 ✕ 40 = 80

Question: 4: What is the number of non perfect squares between 25 and 36

Answer: 10

Questions: 5: How many natural numbers lie between  35² and 36²

Answer: 2 ✕ 35 = 70

Question 6:  Evaluate: 

Answer: 15

Question 7:  Evaluate:  

Answer: 1

Question 8:    Solve :           

Answer: √5x⁴

Question 9: Find the pythagorean triplet whose smallest number is 12

Ans 12, 35, 37

Question 10: Simplify:            

Answer: 3/2

Question 11: Evaluate:                                

Answer: 13/17

Question 12: Simplify:                      

Answer: 198

Question 13: Find the square root of 2.2 up to two decimal places.

Answer: 1.483 = 1.48

Question 14: Evaluate:   correct to two decimal places.

Answer: 1.897  = 1.90

Question 15: Find the value of    correct to 2 decimal places

Answer: 2.915 = 2.92

Question 16: Evaluate:   

Answer: 2

Question 17: 

Evaluate:    and hence find the value of  

Answer: 24.75

Question 18:  If √2 = 1.414,  √3 = 1.732,  √5 = 2.236 then

Evaluate: 

Answer: 4.232

Question 19: (i)  Simplify  

Answer: 4

(ii) Evaluate:  

Ans. 7

Question 20:  Evaluate :                    

Answer : 42 

Question 21

Find the greatest number of 6 digits which is a perfect square. Also find the square root of the resulting number.

Answer: Required greatest number of 6 digit which is a perfect square is 998001 and its square root is 999.

Question 22

What minimum value should be added to the least number of 6 digits to make it perfect square. Also find the square root of the perfect square so obtained.

Answer: Required number to be added = 489,   

Required square root is :   =  317

Question 23

What is the least number that should be added to 5607 to make it a perfect square. Also find the square root of perfect square number so obtained.

Answer: Required number to be added = 18

Required Square root:    = 75

Question 24

The are of square field is 5184 m². A rectangular field whose length is twice the breadth has its perimeter equal to the perimeter of square field. Find area of rectangular field.

Answer: Side of square field = 72

Area of rectangle = 288

Question 25

Neha purchased 2361 rose plants for her garden. How many more rose plants should Neha buy from Nursery so that number of roses is equal to number of rose plants in each row.

Answer: More plants that she buy = 40

Hint: Use long division method (What should be added)

Question 26

Find the smallest number by which 6600 must be multiplied so that the product becomes a perfect square.

Answer: Required number to be multiplied = 66

Question 27

The length and breadth of a rectangular field are 405m and 80m respectively. Find the length of each side of a square playground whose area is equal to the area of rectangular field.

Answer:  Side of Square playground = 180m

Question 28

Students of class VIII came to know that out of their class mates Shilpa was not able to continue her study due to lack of money. They decided to help her by collecting money for her. If the total money collected was ₹ 7056 and each student paid as much money as the number of students in the class find the money contributed by each student.

Answer: Money contributed by each student = ₹ 84

Question 29

If the total surface area of a cube is 150 m², then find the length of its side.

Ans: 5m.

Question 30

Find the value of  . also find the value of  

Answer: 7.15

Question 31

Evaluate:   and hence find the value of  

Answer: 2.42

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MORE QUESTIONS FOR PRACTICE
Level - 2

Question 1:

If one number of the Pythagorean triplet is 6, then find the triplet.

Question 2: 

Using properties of squares and square roots calculate: 1002 − 982.

Question 3: 

By what least number should 2028 be multiplied so that the product is a perfect square? Find the square root of the product so obtained.

Question 4:

By what least number should 3528 be divided so that the quotient is a perfect square? Find the square root of the quotient so obtained.

Question 5:

What least number must be added to 6412 to make the sum a perfect square? Find this perfect square and its square root. 

Question 6: 

A sports teacher wants to arrange 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.

Question 7: 

The cost of leveling a square lawn at ₹ 2.50 / m2 is `13322.50. Find the cost of fencing the lawn at ₹ 5/m                                                  

 Question 8: Evaluate :                                                                   

Question 9: 

The students of Class VIII of a school donated ₹ 2401 in all, for the Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.

Question 10: 

2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Question 11: 

Find the smallest number by which 2925 must be divided to get a perfect square. Also, find the square root of the perfect square so obtained.

Question 12: Find the square root of  63409369

Question 13: 

The area of a square playground is 291.0436 square meters. Find the length of each side of the playground.

Question 14: 

Find the least number that must be added to 506900 to make it a perfect square. Find its perfect square and its square root.

Question 15: 

Find the least number of 4 digits that is a perfect square.

Question 16: 

Find the square root of (a) 14. 10.0469   (b) 15. 0.00038809

Question 17: 

A decimal fraction is multiplied by itself to give the product 0.007569. Find the decimal fraction.

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