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A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is
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A rectangular piece of paper 11 cm × 4 cm is folded without overlapping to make a cylinder of height 4 cm. Find the volume of the
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Find the value of
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Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the
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How many faces does each of the following solids, have? (a) Tetrahedron (b) Hexahedron (c) Octagonal Pyramid (d)
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Use a ruler to measure the distance in cm between the places joined by dotted lines. If the map has been drawn using the scale 1 cm :10 km, find the actual distances between (1) School and Library (2) College and Complex (3) House and School
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Product of `6a^2 – 7b + 5ab` and 2ab
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The product of two terms with unlike signs is a
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`a (b + c) = ax` ____ `xx ax`
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`(a + b)^2 – 2ab` = ___________ +
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Common factor of `ax^2 + bx` is
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The common factor method of factorisation for a polynomial is based on ___________
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The factors of `a^2 – 2ab + b^2` are (a + b) and (a +
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Subtract : `–3p^2 + 3pq + 3px` from `3p (– p – a –
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Write the greatest common factor in each of the following terms. `3x^3y^2z, –6xy^3z^2,
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Factorise the following, using the identity `a^2 + 2ab + b^2 = (a + b)^2` `2x^3 + 24x^2 +
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Factorise the following, using the identity `a^2 – 2ab + b^2 = (a – b)^2`. `x^2/4-2x +
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Factorise the following using the identity `a^2 – b^2 = (a + b) (a – b)`. `16x^4 –
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The height of a triangle is `x^4 + y^4` and its base is 14xy. Find the area of the
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Verify the following: `(p – q) (p^2 + pq + q^2) = p^3 –
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