Square and Square Roots important questions
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October 07, 2015 |
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1-Which of the following numbers are perfect squares?
(a)3364 (b)4489 (c)4358
2-Using the property of squares , find the value of the following.
(a)242 - 232 (b)502 – 492 (c)1052 – 1042
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3-Without adding find the sum.
(a)1+3+5+7+9
(b)1+3+5+7+9+11+13+15_17+19+21+23+
4-Find the square root of the following by prime factorisation method.
(a)1024 (b)8836 (c)8464
5-Find the smallest number by which 2475 must be multiplied to get a perfect square .
6-4096 soldiers are arranged in an auditorium in such a manner that there are as many soldiers in a row as there are rows in the auditorium.How many rows are there in the auditorium?
7-Find the least perfect square exactly divisible by each one of the numbers 4, 5, 10.
8-Find the least square number exactly divisible by each one of the numbers 6, 9, 10, 15 and 20 .
9-Find the least number which must be added to 4215 to make it a perfect square.
10-Find the lest number which should be subtracted from 984 to make it a perfect square .Also find the square root of this perfect square.
11-The area of the square field is 8464m2. A man takes 3 rounds of this field. Find the distance covered by him.
12-Find the square root of the following decimal numbers.
(a)72.25 (b)86.49 (c)75.69 (d)9.61 (e)0.16
14-Express 81 as the sum of 9 odd numbers.
15-How many numbers lie between the squares of the following numbers?
(a)15 and 16 (b)56 and 57
16-Express the following as the sum of two consecutive integers.
(a)212 (b)132 (c)192
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