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.
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: 13.75
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.
Ans: 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
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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