Questions by Simran

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l varies directly as m and l is equal to 5, when m = `2/3` . Find l when m = `16/3`

asked Jan 17, 2022 in 8th-maths

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Here is a key board of a harmonium: (a) Find the ratio of white keys to black keys on the keyboard. (b) What is the ratio of black keys to all keys on the given keyboard. (c) This pattern of keys is repeated on larger keyboard. How many black keys would you expect to find on a keyboard with 14 such

asked Jan 17, 2022 in 8th-maths

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Many schools have a recommended students-teacher ratio as 35:1. Next year, school expects an increase in enrolment by 280 students. How many new teachers will they have to appoint to maintain the students-teacher

asked Jan 17, 2022 in 8th-maths

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A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cubes and cut-out

asked Jan 17, 2022 in 8th-maths

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A regular hexagon is inscribed in a circle of radius r. The perimeter of the regular hexagon

asked Jan 17, 2022 in 8th-maths

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The surface area of a cylinder which exactly fits in a cube of side b is

asked Jan 17, 2022 in 8th-maths

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Two cylinders of equal volume have heights in the ratio 1:9. The ratio of their radii is

asked Jan 17, 2022 in 8th-maths

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A cube of side 3 cm painted on all its faces, when sliced into 1 cubic centimetre cubes, will have exactly 1 cube with none of its faces

asked Jan 17, 2022 in 8th-maths

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Most of the sailboats have two sails, the jib and the mainsail. Assume that the sails are triangles. Find the total area of each sail of the sail boats to the nearest tenth.

asked Jan 17, 2022 in 8th-maths

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asked Jan 17, 2022 in 8th-maths

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asked Jan 17, 2022 in 8th-maths

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Below are the drawings of cross sections of two different pipes used to fill swimming pools. Figure A is a combination of 2 pipes each having a radius of 8 cm. Figure B is a pipe having a radius of 15 cm. If the force of the flow of water coming out of the pipes is the same in both the cases, which will fill the swimming pool faster?

asked Jan 17, 2022 in 8th-maths

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From a pipe of inner radius 0.75 cm, water flows at the rate of 7 m per second. Find the volume in litres of water delivered by the pipe in 1

asked Jan 17, 2022 in 8th-maths

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Factorise the following using the identity `a^2 – b^2 = (a + b) (a – b)`. `p^5 –

asked Jan 17, 2022 in 8th-maths

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Factorise the following using the identity `a^2 – b^2 = (a + b) (a – b)`. `9x^2 – (3y +

asked Jan 17, 2022 in 8th-maths

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If a + b = 25 and `a^2 + b^2 = 225`, then find

asked Jan 17, 2022 in 8th-maths

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Verify the following: `(7p – 13q)^2 + 364pq = (7p +

asked Jan 17, 2022 in 8th-maths

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Verify the following:

asked Jan 17, 2022 in 8th-maths

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Take suitable number of cards given in the adjoining diagram [G`(x xx x)` representing `x^2`, R `(x xx 1)` representing x and Y `(1 xx 1)` representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles: (i) `2x^2 + 6x + 4` (ii) `x^2 + 4x + 4`. Factorise `2x^2 + 6x + 4` by using the figure.

asked Jan 17, 2022 in 8th-maths

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The value of `(–2)^(2xx3–1)`

asked Jan 17, 2022 in 8th-maths

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