Maxima Problems: “Find two possible real numbers whose product is a maximum, and the sum is 110 ?”
Answer I’ll show you a couple of ways. Let the two numbers be p and q respectively. We…
-
-
An easier prime number question
Question What is the least 3 digit number that is the square of a prime number? a. 100…
-
Math Pattern: Find the formula (ie the nth term) for the sequence 0,0,1,3,6,10…
Answer 0,0,1,3,6,10 Let A(n) denote the (n + 2)th term in the sequence. We “choose” ( n +…
-
A Probability question
Question A bag of candies contains the following: 50 red candies 52 green candies 52 blue candies 50…
-
An example of a Math Olympiad Problem
Question I have four children. The age in years of each child is a positive integer between 2…
-
An interesting brain teaser
Question We have 100 lamps, numbered 1, 2, …, 100. Initially they are all off. 1) we press…
-
Math Pattern: 1,2,6,24,120 Find pattern and what comes next?
Answer Here it is : Let A(n) denote the nth term. 1 x 1 = 1 = A…
-
Complex Numbers: Write each espression in the form a +bi where a and b are real numbers: (8 +sqrt -20)/-4?
Answer 8 +sqrt of -20 divided by -4. sqrt ( -1 ) = i [ 8 +sqrt of…
-
Number Bases: Convert from Hexadecimal (Base 16) to Decimal (Base 10)?
Answer A base 10 analogy will be helpful. In base 10 we start with 10^0, 10^1 etc for…
-
Basic Algebra Explanation: “How algebra works?”
Question Solve the equation(5/12)y=3/4 Answer Firstly, LHS = Left Hand Side. RHS = Right Hand Side. (5/12)y =…