Page 62 - Start Up Mathematics_5

2. 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?

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

SCRATCH YOUR BRAIN

1. What will be least number which when doubled will be exactly divisible by 12, 18, 21
and 30?

2. Find the least number which when divided by 12, 15, 20 and 54 leaves in each case
a remainder of 8. (Hint: Add 8 to the result)
3. What is the greatest number of 4-digits which is divisible by 15, 25, 40 and 75?

4. Find the least number which should be added to 2,497 so that the sum is exactly
divisible by 2, 4, 5 and 6.

INDIVIDUAL ACTIVITY

To understand the concept of factors and HCF using square grid
Things We Need: A pencil and crayons

How To Do:
1. Let’s find the HCF of 16 and 18.

2. To find the factors of 16, draw and colour all possible rectangles using 16 squares.

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