Mathematics Talent Search: SENIOR LEVEL

Question 1
Let p and q be any 2 odd numbers, p > q, then the largest among the given choices which divide p² - q² is

• (a)2
• (b)4
• (c)6
• (d)8
• (e)12

Question 2
This Greek, not a mathematician, himself is known as ``the maker of mathematicians''. Over the doors to his academy is incribed the motto: ``Let no one ignorant of geometry enter here''.

• (a) Archiemedes
• (b) Galileo Galilei
• (c) Plato
• (d) Euclid
• (e) Pythagoras

Question 3
Find the last digit of 1⁹⁹ + 2⁹⁹ + 3⁹⁹ ........ + 99⁹⁹

• (a) None of the others
• (b) 0
• (c) 1
• (d) 3
• (e) 4

Question 4
A class has 100 students. 24 of them are girls and 32 are not. Which base am I using?

• (a) 8
• (b) 6
• (c) None of the others
• (d) 7
• (e) 5