Crossword Puzzle

1. Name the sequence in which, for every positive real number, there exists a term in the sequence after which all subsequent terms are within that distance of each other.
5. If the difference between the mode and median is 2, then the difference between the median and mean is? (in words)
8. Where was abacus invented?
9. The points where the Newton Raphson method fails are called _______ points?
10. A function between two groups that preserves the operation is called a group _______.
13. Every positive integer greater than 1 can be uniquely expressed as a product of prime numbers. This is the statement of the fundamental theorem of ________?
14. Every even integer greater than 2 be can expressed as the sum of two prime numbers. This is what conjecture?
15. A matrix that cannot be inverted is?

2. The smallest number of colours needed to colour the vertices of a graph such that no two adjacent vertices have the same colour is called ______ number.
3. What is the probability of an impossible event? (in words)
4. Mr Smith has 4 daughters. Each of his daughters has a brother. How many children does Mr Smith have? (in words)
6. Mathew had 6 siblings. They were all born 2 years apart. The youngest is Izza who is only 7 years old while Mathew is the oldest. What is Mathew’s age? (in words)
7. If P→Q, then the statement ~P→~Q is the _______ of the first statement.
11. The term used to describe lines in three dimensional space that neither intersect nor are parallel is ______ lines.
12. Who is the father of Indian Mathematics?