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nature of mathematics
Questions and Answers of
Nature Of Mathematics
A boy cyclist and a girl cyclist are 10 miles apart and pedaling toward each other. The boy’s rate is 6 miles per hour, and the girl’s rate is 4 miles per hour. There is also a friendly fly
Two race cars face each other on a single 30-mile track, and each is moving at 60 mph. A fly on the front of one car flies back and forth on a zigzagging path between the cars until they meet. If the
Alex, Beverly, and Cal live on the same straight road. Alex lives 10 miles from Beverly, and Cal lives 2 miles from Beverly. How far does Alex live from Cal?
In a different language, liro cas means “red tomato.” The meaning of dum cas dan is “big red barn” and xer dan means “big horse.” What are the words for “red barn” in this language?
Consider the routes from A to B and notice that there is now a barricade blocking the path. Work out a general solution for the number of paths with a blockade, and then illustrate your general
Assume that the first “gh” sound in ghghgh is pronounced as in hiccough, the second “gh” as in Edinburgh, and the third “gh” as in laugh. How should the word ghghgh be pronounced?
Write down a three-digit number. Write the number in reverse order. Subtract the smaller of the two numbers from the larger to obtain a new number. Write down the new number. Reverse the digits
Start with a common fraction between 0 and 1. Form a new fraction, using the following rules: New denominator: Add the numerator and denominator of the original fraction. New numerator: Add the new
The number 6 has four divisors—namely, 1, 2, 3, and 6. List all numbers less than 20 that have exactly four divisors.
Thoth, an ancient Egyptian god of wisdom and learning, has abducted Ahmes, a famous Egyptian scribe, in order to assess his intellectual prowess. Thoth places Ahmes before a large funnel set in the
A magician divides a deck of cards into two equal piles, counts down from the top of the first pile to the seventh card, and shows it to the audience without looking at it herself. These seven cards
A very magical teacher had a student select a two-digit number between 50 and 100 and write it on the board out of view of the instructor. Next, the student was asked to add 76 to the number,
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