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The area of a rectangular field is 48 `m^2` and one of its sides is 6m. How long will a lady take to cross the field diagonally at the rate of 20
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Jan 17, 2022
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The area of a trapezium with equal non-parallel sides is 168 `m^2`. If the lengths of the parallel sides are 36 m and 20 m, find the length of the non-parallel
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Jan 17, 2022
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Find the length of the largest pole that can be placed in a room of dimensions `12 m xx 4 m xx 3 m`. Find the area of the following fields. All dimensions are in
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Jan 17, 2022
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Find the area of the shaded portion in the following
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Three cubes each of side 10 cm are joined end to end. Find the surface area of the resultant
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The capacity of a closed cylindrical vessel of height 1 m is 15.4 L. How many square metres of metal sheet would be needed to make
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Factorise the following using the identity `a^2 – b^2 = (a + b) (a – b)`. `y^4 –
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Jan 17, 2022
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Factorise the following using the identity `a^2 – b^2 = (a + b) (a – b)`. `(a – b)^2 – (b –
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Jan 17, 2022
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Factorise the following using the identity `a^2 – b^2 = (a + b) (a – b)`. `9x^2 – (3y +
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Jan 17, 2022
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The following expressions are the areas of rectangles. Find the possible lengths and breadths of these rectangles. `76x^3yz^3 -:
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Jan 17, 2022
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The following expressions are the areas of rectangles. Find the possible lengths and breadths of these rectangles. `17ab^2c^3 -:
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Jan 17, 2022
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Factorise the expressions and divide them as directed: `(x^2 – 22x + 117) -: (x –
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Jan 17, 2022
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Factorise the expressions and divide them as directed: `(3x^4 – 1875) -: (3x^2 –
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The area of a square is `9x^2 + 24xy + 16y^2`. Find the side of the
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Jan 17, 2022
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The sum of (x + 5) observations is `x^4 – 625`. Find the mean of the
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Jan 17, 2022
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If x – y = 13 and xy = 28, then find `x^2 +
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Jan 17, 2022
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Verify the following: `(ab + bc) (ab – bc) + (bc + ca) (bc – ca) + (ca + ab) (ca – ab) =
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Jan 17, 2022
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Verify the following: `(a + b) (a + b) (a + b) = a^3 + 3a^2b + 3ab^2 +
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Jan 17, 2022
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Find the value of (i) `(6.25 6.25 –1.75 1.75)/4.5` (ii) `(198 198 –102
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