1. There are thirty-four lines that are tangent to a circle and these lines create regions in the plane.
Can you tell how many of these regions are not enclosed ?
2. A man attended a small get-together. He counted the number of handshakes that were
exchanged.There were 28 altogether. Can you tell me how many guests were present ?
3. The sum of two numbers is ten. Their product is twenty. Can you find the sum of the reciprocals of
the two numbers ?
4. What is the sum of all numbers between 100 and 1000 which are divisible by 14 ?
5. What will be the height of a pole made up of all the millimetre cubes in one cubic metre, if placed
one on top of another ?
6. A cylindrical container has a radius of eight inches with a height of three inches. Compute how
many inches should be added to either the radius or height to give the same increase in volume ?
7. Jobin collected 8 spiders and beetles into a little box. When he counted the legs he found that there
were altogether 54. How many beetles and how many spiders did he collect ?
8. Can you find a number of nine non-respective digits that is divisible by 11 ? Find the smallest of
such number as well as the biggest ?
9. We have a brick of regular size. It weighs 4 kg. How much do you think a similar brick, four times
smaller, but made of the same material weigh ?
10. A little ball is dropped from a height of 8ft and it bounces back each time to a height which is one
-half of the last bounce. How far approximately will the ball have travelled when it comes to rest ?
Can you tell how many of these regions are not enclosed ?
2. A man attended a small get-together. He counted the number of handshakes that were
exchanged.There were 28 altogether. Can you tell me how many guests were present ?
3. The sum of two numbers is ten. Their product is twenty. Can you find the sum of the reciprocals of
the two numbers ?
4. What is the sum of all numbers between 100 and 1000 which are divisible by 14 ?
5. What will be the height of a pole made up of all the millimetre cubes in one cubic metre, if placed
one on top of another ?
6. A cylindrical container has a radius of eight inches with a height of three inches. Compute how
many inches should be added to either the radius or height to give the same increase in volume ?
7. Jobin collected 8 spiders and beetles into a little box. When he counted the legs he found that there
were altogether 54. How many beetles and how many spiders did he collect ?
8. Can you find a number of nine non-respective digits that is divisible by 11 ? Find the smallest of
such number as well as the biggest ?
9. We have a brick of regular size. It weighs 4 kg. How much do you think a similar brick, four times
smaller, but made of the same material weigh ?
10. A little ball is dropped from a height of 8ft and it bounces back each time to a height which is one
-half of the last bounce. How far approximately will the ball have travelled when it comes to rest ?
