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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#5101 2014-08-19 00:50:00

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

The solutions #5209 and #5210 are correct. Brilliant!

#5211. Between a square of perimeter 44  centimeters and a circle of circumference 44 centimeters, which figure has larger are and by how much?

#5212. A wire is bent in the form of a circle of radius 56 centimeters. If it is bent in the form of a square, then what would its area be?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5102 2014-08-19 01:05:02

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5103 2014-08-20 00:19:55

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

The solutions #5211 and #5212 are perfect. Extraordinary, bobbym!

#5213. A wire is bent in the form of a square encloses an area of 484 square centimeters. What will be the enclosed area when the same wire is bent into a circle?

#5214. A circular wire of radius 42 centimeters is bent in the form of a rectangle whose sides are in the ratio :5. Find the smaller side of the rectangle.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5104 2014-08-20 01:36:08

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5105 2014-08-21 00:48:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

The solution #5213 is perfect. Splendid, bobbym!

#5214. A circular wire of radius 42 centimeters is bent in the form of a rectangle whose sides are in the ratio 6:5. Find the smaller side of the rectangle.

(Inconvenience regretted)

#5215. There is a rectangular tank of length 180 meters and breadth in a circular field. If the area of the land portion of the field is 40000 square meters, what is the radius of the field?

#5216. The areas of two circular fields are in the ratio 16:49. If the radius of the latter is 14 meters, then what is the radius of the former?
#5215.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5106 2014-08-22 10:33:09

Denominator
Member
Registered: 2009-11-23
Posts: 219

Re: 10 second questions

Hi!

Thanks`


koko28.png

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#5107 2014-08-22 15:11:44

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi Denominator,

The solutions #5124 and #5126 are correct. Marvelous!

#5127. If the ratio of two circles is 4:9, then what will be the ratio of their circumferences?

#5218. The perimeter of a circle is equal to the perimeter of a square. Then, what is the ratio of their area?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5108 2014-08-22 20:36:12

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5109 2014-08-23 00:31:49

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

The solutions are 2:3 and 14:11 respectively (#5217 and #5218).

#5219. The diameter of a wheel is 1.26 meters. How far will it travel in 500 revolutions?

#5220. What is the number of revolutions of a wheel of diameter 40 centimeters makes in traveling a distance of 176 meters?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5110 2014-08-23 00:51:37

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5111 2014-08-23 23:58:16

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

The solutions #5219 and #5220 are perfect. Remarkable, bobbym!

#5221. The radius of a wheel is 0.25 meter. Find the number of revolutions it will make to travel a distance of 11 kilometers.

#5222. The wheel of an engine

meters in circumference makes 7 revolutions in 9 seconds. Find the speed of the train in kilometers per hour.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5112 2014-08-24 04:57:26

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5113 2014-08-25 01:02:59

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

The solution #5221 is perfect, Excellent, bobbym!

#5223. The wheel of a motorcycle, 70 centimeters in diameter, makes 40 revolutions in every 10 seconds. What is the speed of the motorcycle in kilometers per hour?

#5224. Find the diameters of a wheel that makes 113 revolutions to go 2 kilometers 26 decameters.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5114 2014-08-25 02:06:18

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5115 2014-08-26 01:05:46

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

The solutions #5223 and #5224 are correct. Magnificent, bobbym!

(Use

)

#5225. A circular ground whose diameter is 35 meters, has a 1.4 meter broad garden around it. What is the area of the garden in square meters?

#5226. A circular garden has a circumference of 440 meters. There is a 7 meter wide border inside the garden along its periphery. Find the area of the border in square meters.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5116 2014-08-26 02:37:04

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5117 2014-08-26 23:57:24

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

The solutions #5225 (roughly) and #5226 are correct. Marvelous, bobbym!

The solution #5225 I get is

#5227. The areas of two concentric circles forming a ring are 154 square centimeters and 616 square centimeters. Find the breadth of the ring.

#5228. A circular park has a path of uniform width around it. The difference between outer and inner circumferences of the circular path is 132 meters. Find its width.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5118 2014-08-27 00:38:50

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;

Did you want to use π = 22 / 7? I used π = 3.14159.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5119 2014-08-28 00:38:53

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

The solutions #5227 and #5228 are correct. Remarkable, bobbym!

#5229. A circular swimming pool is surrounded by a concrete wall 4 feet wide. If the area of the concrete wall surrounding the pool is 11/25 that of the pool, find the radius of the pool.

#5230. The ratio of the outer and the inner perimeters of a circular path is 23:22. If the path is 5 meters wide, find the diameter of the inner circle.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5120 2014-08-29 23:55:38

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

#5231. What will be the area of a semi-circle of a diameter 14 meters?

#5232. A semi-circle shaped window has diameter of 63 centimeters. What is its perimeter equal to?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5121 2014-08-29 23:59:27

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#5122 2014-08-30 23:57:57

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

The solutions #5229 and #5230 are perfect. Excellent, bobbym!

(Use

)

#5233. What will be the area of a semi-circle whose perimeter is 36 centimeters?

#5234. Find the area of a sector of a circle of radius 5 centimeters, formed by an arc of length 3.5 centimeters.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5123 2014-09-16 01:59:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

#5235. Find the midpoint of the line segment joining the points (1, -1) and (-5, 3).


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5124 2014-09-16 07:23:59

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#5125 2014-09-19 00:55:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: 10 second questions

Hi bobbym,

The solution #5235 is correct. Good work!

#5236. Find the midpoint of the line segment joining the points (0,0) and (0,4).


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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