1. Without finding the squares, find the difference of the following:
a. 682 - 672
b. 2122 - 2112
2. Without adding, find the difference of the following:
a. 1+3+5+7+9+11+13+15+17+19+21
3. Express the following squares as the sum of two consecutive natural numbers
a. 152 b. 312
4. Find the Pythagorean triplet one of whose member is
a. 12 b. 16
5. Find the square root by Prime factorization method
a. 4761 b. 6084 c. 0.0256
6. By which smallest number should we multiply the following numbers to make them perfect squares. Find the square root of the perfect square.
a. 3388 b. 9680
7. By which smallest number should we divide the following numbers to make them perfect squares. Find the square root of the perfect square.
b. 8820 b. 7623
8. Find the square root by long division method
b. 60025 b. 274576 c. 85.1929 d. 412.4961
9. Find the square root of the following numbers using the tables.
a. 83 b. 48
10. Find the least number which should be subtracted from the following number to get a perfect square. Also find the square root of the perfect square.
a. 42448 b. 99230
11. Find the least number which should be added to the following number to get a perfect square. Also find the square root of the perfect square.
a. 21146 b. 44841
12. Estimate the square root of
a. 250 b. 375
13.Find the length of the square field whose area is same as the rectangular field of 49m and 25m.
14. The cost of polishing a square table top at the rate of Rs. 5 per cm2 was Rs. 19845.Find the length of the side of the table top.
15. Find the smallest square number which can be completely divided by 6, 10, and 12.
16. The 1450 students of a school had to stand in rows and columns where the number of rows and the columns were the same. How many children were left out in such an arrangement? How many rows were made?
Answers
Answer:
1. Without finding the squares, find the difference of the following:
a. 682 - 672
b. 2122 - 2112
2. Without adding, find the difference of the following:
a. 1+3+5+7+9+11+13+15+17+19+21
3. Express the following squares as the sum of two consecutive natural numbers
a. 152 b. 312
4. Find the Pythagorean triplet one of whose member is
a. 12 b. 16
5. Find the square root by Prime factorization method
a. 4761 b. 6084 c. 0.0256
6. By which smallest number should we multiply the following numbers to make them perfect squares. Find the square root of the perfect square.
a. 3388 b. 9680
7. By which smallest number should we divide the following numbers to make them perfect squares. Find the square root of the perfect square.
b. 8820 b. 7623
8. Find the square root by long division method
b. 60025 b. 274576 c. 85.1929 d. 412.4961
9. Find the square root of the following numbers using the tables.
a. 83 b. 48
10. Find the least number which should be subtracted from the following number to get a perfect square. Also find the square root of the perfect square.
a. 42448 b. 99230
11. Find the least number which should be added to the following number to get a perfect square. Also find the square root of the perfect square.
a. 21146 b. 44841
12. Estimate the square root of
a. 250 b. 375
13.Find the length of the square field whose area is same as the rectangular field of 49m and 25m.
14. The cost of polishing a square table top at the rate of Rs. 5 per cm2 was Rs. 19845.Find the length of the side of the table top.
15. Find the smallest square number which can be completely divided by 6, 10, and 12.
16. The 1450 students of a school had to stand in rows and columns where the number of rows and the columns were the same. How many children were left out in such an arrangement? How many rows were made?
Answer:
1. Without finding the squares, find the difference of the following:
a. 682 - 672
b. 2122 - 2112
2. Without adding, find the difference of the following:
a. 1+3+5+7+9+11+13+15+17+19+21
3. Express the following squares as the sum of two consecutive natural numbers
a. 152 b. 312
4. Find the Pythagorean triplet one of whose member is
a. 12 b. 16
5. Find the square root by Prime factorization method
a. 4761 b. 6084 c. 0.0256
6. By which smallest number should we multiply the following numbers to make them perfect squares. Find the square root of the perfect square.
a. 3388 b. 9680
7. By which smallest number should we divide the following numbers to make them perfect squares. Find the square root of the perfect square.
b. 8820 b. 7623
8. Find the square root by long division method
b. 60025 b. 274576 c. 85.1929 d. 412.4961
9. Find the square root of the following numbers using the tables.
a. 83 b. 48
10. Find the least number which should be subtracted from the following number to get a perfect square. Also find the square root of the perfect square.