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Author: Ashutosh

On a scale drawing of a triangular piece of land, the sides of the triangle have lengths 5, 12, and 13 centimetres. If 1 centimetre on the drawing represents 3 meters, what is the area, in square meters, of the piece of land? – OGQR 2020 Question #90 with Solution

A < 1 min read OGQR 2020: Question No. 90 On a scale drawing of a triangular piece of land, the sides of the triangle have lengths 5, 12, and 13 centimetres. If 1 centimetre on the drawing represents 3 meters, what is the...

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Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? – OGQR 2020 Question #88 with Solution

A 2 min read OGQR 2020: Question No. 88 Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible...

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Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in h hours, what was her average speed in miles per hour? – OGQR 2020 Question #82 with Solution

A < 1 min read OGQR 2020: Question No. 82 Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in (2/3)h hours, what was her average speed in miles per hour? Source OGQR 2020 Type...

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If a rectangle of area 24 can be partitioned into exactly 3 nonoverlapping squares of equal area, what is the length of the longest side of the rectangle? – OGQR 2020 Question #84 with Solution

A < 1 min read OGQR 2020: Question No. 84 If a rectangle of area 24 can be partitioned into exactly 3 nonoverlapping squares of equal area, what is the length of the longest side of the rectangle? SourceOGQR 2020TypeProblem...

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A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimetres of tile are in the mosaic? – OG 2020 Question #329 with Solution

A 2 min read OG 2020: Question No. 329 A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square...

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