# Mathematics Trivia

May 19th, 2015
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1. Simplify the expression (x+a)(x–b)(x+c) ••• (x–z). 2. Arrange the integers 1 through 15 in a row so that the sum of any two adjacent integers is a perfect square. 3. What is the smallest number that when divided by each of the digits 1 through 9 leaves no remainder?

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MATHEMATICS TRIVIA1. Simplify the expression (x+a)(xb)(x+c) (xz).2. Arrange the integers 1 through 15 in a row so that the sum of any two adjacent integers is a perfect square.3. What is the smallest number that when divided by each of the digits 1through 9 leaves no remainder?4. Find five different whole numbers, all less than nine, such that the sum of three of them equals the sum of the other two, and also the sum of the squares of the first three equals the sum of the squares of the other two.5. Find a 6-digit number such that if you transfer the two left-most digits to the right, the new number is double the original.6. One year on the fourth of July, Samantha figured that there were 73 days until her birthday. What are the day and month of Samantha's birthday? If the fourth of July that year was on a Wednesday, what day of the week was Samantha's birthday that year?7. In a gaggle of geese and a flock of sheep, there are 98 eyes and 162 legs. How many geese and how many sheep are there?8. Why are the digits 8, 5, 4, 9, 1, 7, 6, 3, 2, 0 arranged in this order?9. Twin primes are prime numbers that differ by two, for example 3 and 5.There are eight pairs

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