Answer the following (3 mark each)

Question 13 Marks

Think of a number. If it is a multiple of $3$ write it in the red circle. If it is a multiple of $5$ write it in the blue circle. Which is the smallest among these common multiples $?$

Answer

SELF

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Question 23 Marks

Rani, Geetha and Naseema live near each other. The distance from their houses to the road is $90$ feet. They decided to tile the path to the road. They all bought tiles of different designs and length. Rani bought the shortest tile, Geetha bought the middle sized one and Naseema bought the longest one. If they could tile the path without cutting any of the tiles, what is the size of the tiles each has bought? Suggest $3$ different solutions. Explain how you get this answer.

Answer

SELF

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Question 33 Marks

Manoj has made a new house. He wants to lay tiles on the floor. The size of the room is $9$ feet$\times 12$ feet. In the market, there are three kinds of square tiles:$ 1$ foot$\times 1$ foot, $2$ feet$\times 2$ feet and $3$ feet $\times 3$ feet. Which size of the tile should he buy for his room, so that he can lay it without cutting $?$

Answer

SELF

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Question 43 Marks

There is a garden in Anu's house. In the middle of the garden there is a path. They decided to tile the path using tiles of length $2$ feet, $3$ feet and $5$ feet. The mason tiled the first row with $2$ feet tiles, the second row with $3$ feet tiles and the third row with $5$ feet tiles. The mason has not cut any of the tiles. Then what is the shortest length of the path ?

Answer

SELF

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Maths Answer the following (3 mark each)

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