Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Worksheet: Squares & Square Roots
Squares and Square Roots Class 8 Worksheet Maths Chapter 5
| Table of contents |
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| Multiple Choice Questions |
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| Match the Column |
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| Fill in the blanks |
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| Find the square root using the method of prime factorization |
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| Answer the following Questions |
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Multiple Choice Questions
Q1: Which of the following is not a perfect square number?
A) 1156
B) 4657
C)4624
D) 7056
Q2: A perfect square can never have the following digit in its ones place
A) 8
B) 4
C) 0
D) 1
Q3: The sum of first n odd natural numbers is
A) n2
B) 2n
C) n2+1
D) n2−1
Q4: √0.09 is
A) 0.3
B) 0.03
C) 0.94
D) 0.33
Q5: The area of the square field is 234.09 m2. The perimeter of the field id
A) 65.2 m
B) 59.6 m
C) 51.2 m
D) 61.2 m
Q6: Given that √5625=75, the value of √0.5625 + √56.25 is:
A) 82.5
B) 0.75
C) 8.25
D) 75.05
Q7: Which of the following is a pythogorean triplet?
A) 2,3,4
B) 6,8,10
C) 5,7,9
D) none of these
Match the Column
Fill in the blanks
Q1: There are _________ perfect squares between 1 and 100
Q2: The square of a proper fraction is ______ than to the fraction
Q3: The square of a even number is _____
Q4: √4096 is ____
Q5: The digit at the ones place of 372 is ____
Q6: The least number that must be added to 1500 so as to get a perfect square is ___
Find the square root using the method of prime factorization
Q1: 121
Q2: 441
Q3: 625
Q4: 729
Q5: 1521
Answer the following Questions
Q1: Find the smallest number by which following number must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained.
(i) 1008
(ii) 1280
(iii) 1875
Q2: 676 students are to be sit in a hall in such a way that each row contains as many students as the number of rows. Find the number of rows and the number of students in each row
Q3: What could be the possible ‘one’s’ digits of the square root of each of the following numbers?
(i) 1801
(ii) 856
(iii) 1008001
(iv) 6577525
Q4: The students of a class arranged a gift for the class teacher. Each student contributed as many rupees as the number of students in the class. If the total contribution is Rs 1521, find the strength of the class.
Q5: Find the least number which when added to 4529 to make it a perfect square?
Q6: Find the least number which must be subtracted from 2361 to make it a perfect square?
Q7: Find the smallest number by which following number must be divided to get a perfect square. Also, find the square root of the perfect square so obtained.
(i) 600
(ii) 2904
Q8: Find the value of
Q9: Find the square root of 83.3569
You can access the solutions to this worksheet here.
The document Squares and Square Roots Class 8 Worksheet Maths Chapter 5 is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Squares and Square Roots Class 8 Worksheet Maths Chapter 5
| 1. What is the method of prime factorization for finding square roots? |  |
Ans. The method of prime factorization involves breaking down a number into its prime factors. To find the square root, we group the prime factors into pairs. If there is an odd factor left, it cannot be paired, indicating that the number is not a perfect square. The square root is then the product of one factor from each pair.
| 2. How can I determine if a number is a perfect square? | |
Ans. A number is a perfect square if its prime factorization contains even exponents for all prime factors. For example, the number 36 can be factored into \(2^2 \times 3^2\), which indicates that it is a perfect square, as all the exponents (2 and 2) are even.
| 3. What are the first ten perfect squares? | |
Ans. The first ten perfect squares are:
1 (1x1),
4 (2x2),
9 (3x3),
16 (4x4),
25 (5x5),
36 (6x6),
49 (7x7),
64 (8x8),
81 (9x9),
100 (10x10).
| 4. How do you calculate the square root of a non-perfect square number? | |
Ans. To calculate the square root of a non-perfect square number, you can use the prime factorization method to get an approximate value. Alternatively, you can use a calculator or an estimation method, such as finding two consecutive perfect squares between which the number lies and using interpolation.
| 5. Why is understanding squares and square roots important in mathematics? | |
Ans. Understanding squares and square roots is fundamental in mathematics as it helps in various areas including algebra, geometry, and number theory. It is essential for solving quadratic equations, working with area calculations, and understanding the properties of numbers, which are foundational in advanced mathematics.
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Dec 22, 2024 Last updated |
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