An easier prime number question
Question What is the least 3 digit number that is the square of a prime number? a. 100…
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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 +…
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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…
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An interesting brain teaser
Question We have 100 lamps, numbered 1, 2, …, 100. Initially they are all off. 1) we press…
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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…
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Prime number question
Question 1) Show that if p >=5 is a prime number, then p^2 + 2 is composite (hint:…
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A Mean Value Theorem or MVT Question?
Question Find all numbers c between a and b for which: (f(b)-f(a))/(b-a) = f'(c) The Problem: f(x) =…
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Algebra: Solve x for [ {2 + (3^1/2)}^1/2]^x + [{2 – (3^1/2)}^1/2]^x = 4?
Answer The trick is this. SQUARE THE EQUATION. Note that : [{2 + (3^1/2)}^1/2]^x = [{2 + (3^1/2)}^(x/2)]…
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A tough Geometry Question
Question Two circles (⊙O and ⊙O’, the radius of ⊙O > the radius of ⊙O’) intersect at Point…
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Digit problem?
Question If the digits 2,3,7 and 6 are arranged randomly so as to form a four-digit number,then how…