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Observe the following pattern and find the missing digits.`11^2 = 121``101^2 = 10201``1001^2 = 1002001``100001^2 = 1 ......... 2 ......... 1``10000001^2 =
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A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for
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The perimeter of a rectangle is 13 cm and its width is `2 3/4`cm. Find its
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Bansi has 3 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of Rs 77, how many coins of each denomination does he
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Solve `5x + 7/2 =
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15(y – 4) –2(y – 9) + 5(y + 6) =
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Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.) What can you say about the angle sum of a convex polygon with number of sides?
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What is a regular polygon? State the name of a regular polygon of (i) 3 sides (ii) 4 sides (iii) 6
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In Fig 3.26, BEST is a parallelogram. Find the values x, y and z.
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Find the measure of ∠P and ∠S if SP RQ in Fig . (If you find m∠R, is there more than one method to find m∠P?)
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Name the quadrilaterals whose diagonals. bisect each
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Is 53240 a perfect cube? If not, then by which smallest natural number should 53240 be divided so that the quotient is a perfect
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Find the cube root of 13824 by prime factorisation
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Find the cube root of each of the following numbers by prime factorisation method. 15625
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State true or false. There is no perfect cube which ends with
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Complete the table for area of a rectangle with given length and
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Carry out the multiplication of the expressions in each of the following pairs. `4p, q + r`
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Find the product. (5 – 2x) (3 + x)
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Using Euler’s formula find the
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A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 `m^2`? (If required you can split the tiles in whatever way you want to fill up the
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