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Square Root of Positive Number Class 7 Math Worksheet – 50 Marks
Square Root of Positive Number
(1) Find the squares of decimals and compare them with itself. [4 × 1] = 4
(i) 0.2
(ii) 0.4
(iii) 0.10
(iv) 0.05
(2) Find the squares of the following numbers. [6 × 1] = 6
(i) 9
(ii) 25
(iii) 19
(iv) 4
(v) 100
(vi) 21
(3) Find the squares of proper fractions. Also compare them with itself. [4 × 1] = 4
(i) 5/6
(ii) 6/13
(iii) 1/5
(iv) 7/9
(4) Find the square roots of the following numbers by prime factorization. [4 × 1] = 4
(i) 1225
(ii) 196
(iii) 162
(iv) 128
(5) Prove each of the following by prime factorization. [4 × 1] = 4
(i) √122/7 = √122/ √7
(ii) √242/121 = √242/ √121
(iii) √128/2 = √128/√2
(iv) √32 × 25 = √32 × √25
(6) By which smallest number can 324 be divided to get a perfect square? [2 × 1] = 2
(7) A nursery owner tries to arrange 47500 plants into the shape of solid square. But he finds that he has 99 plants left over. [2 × 1] = 2
(8) Find the measurement of the sides of a rectangle whose length is four times of its width and area is 71.42cm2. [2 × 1] = 2
(9) Which smallest number can be subtracted from 50 to get a perfect square? [2 × 1] = 2
(10) Find the square root of the following. [5 × 1] = 5
(i) 4.25
(ii) 1024
(iii) 27.14
(iv) 242
(v) 0.0115