Bose Olympiad Intermediate is suitable for kids in Grade 5, 6, and 7. There are three stages of this olympiad:
The following topics in number theory are useful for the Intermediate round:
Here is an example of a Number Theory problem that may appear in Bose Olympiad:
How many positive integer solutions are there of the equation $x^3 - y^3 = 121$ ?
Key idea: Primes
The following topics in geometry are useful for the Intermediate round:
Here is an example of an geometry problem that may appear in Bose Olympiad:
There are two trees A and B on a field such that distance between A and B is 5 meter. Ayesha is continuously running on the field such that sum of her distances from A and B is always 5 meters. How many times does she visit the midpoint of A and B?
Key idea: Locus
The following topics in Algebra are useful for Intermediate Bose Olympiad:
Here is an example of an algebra problem that may appear in Bose Olympiad:
Consider all rectangles of perimeter 40 cm. What is the largest area that can be enclosed by any such rectangle?
Key idea: inequality
