Secondary School (English Medium) (5 to 8) Class 5 - CBSE Question Bank Solutions for Mathematics

In how many ways can you draw a factor tree for 24? Draw three of them below.

Try drawing the factor tree using other numbers also.

Manoj had 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 square 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?

Rani, Geetha, and Naseema live near each other. The distance from their house to the road is 90 feet. They decided to tile the path to the road. They all bought tiles of different designs and lengths. Rani the shortest tile, Geetha bought the 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.

Ramya made four more shapes. Each is to be folded along the dotted lines. You have to find out which of these can be made into a box.

Look at the shape and answer.

The angle marked in ______ color is the biggest angle.

How many different shapes can you make by changing the angle between the matchsticks in these? Try.

4 matchsticks

8 matchsticks

5 matchsticks

7 matchsticks

10 matchsticks

Take 8 matchsticks and make a fish like this. Now pick up any 3 matchsticks and put them in such a way that the fish now starts swimming in the opposite direction. Did it?

Using 10 matchsticks make this shape. Pick any 5 matchsticks and put them in such a way that you get the shape of a house.

Now make these 4, 5, 6 sided shapes by using tube pieces and matchsticks.

Find out how many angles are there in each of these shapes. Mark them.

Now push each shape downwards with the tip of your finger.

Does the angle change when pushed down by the finger? 

Now push each shape downwards with the tip of your finger.

Does the angle change when pushed down by the finger?

Find out and write your results in the table given:

Shape	Change in angle Yes/No

Look for triangles in the pictures below.

From the activity ‘Changing Shapes’ can you guess why triangles are used in these towers, bridges, etc.?

Now make these  4, 5, 6 sided shapes by using tube pieces and matchsticks.

Find out how many angles are there in each of these shapes. Mark them.

Look for triangles in the pictures below.

Look around and find out more places where triangles are used.

What other things have you heard of in lakhs?

Write the number one thousand. Now write one hundred thousand. So how many zeroes are there in the number one lakh? Easy, isn’t it?

There are about two lakh boats in our country. Half of them are without a motor. What is the number of boats with a motor? Write it.

About one fourth of the boats with a motor are big machine boats. How many thousand machine boats are there? Come on, try to do it without writing down.

Look at the angles in the pictures and fill the table.

Angle	Right Angle	More than a right angle	Less than a right angle
			✓

Sukhman made this picture with so many angles.

Use color pencils to mark.

• Right angles with black color.
• Angles that are more than a right angle with green.
• Angles that are less than a right angle with blue.