Monthly Archives: April 2013

Sum of Two Numbers

Two different positive numbers and each differ from their reciprocals by . What is ? Source: NCTM Mathematics Teacher SOLUTION We have Simplify Solve for by completing the square Similarly Simplify Solve for by completing the square Answer:

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Bike Rally

You enter a distance bike race that travels between two nearby towns. The first half of the race begins at the first town and takes you to the second town at an average speed of miles per hour. You return … Continue reading

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Area of trapezoid

In trapezoid with bases and , we have and . Calculate the area of . Source: NCTM Mathematics Teacher SOLUTION Area of trapezoid Calculate In right triangle In right triangle Multiply Eq. by and add to Eq. __________________ Simplify Substitute … Continue reading

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23569 Sum

Using the five digits , and , what is the sum of all positive three-digit integers using these five digits? Please note that the same digit can appear more than once. Source: mathcontest.olemiss.edu 4/15/2013 SOLUTION This problem is similar to … Continue reading

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Coffee Can

A coffee company decides to increase the diameter of their cylindrical coffee cans to make the can more appealing to consumers. If the diameter of the can is increased by , by what percent will the height be decreased if … Continue reading

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2013 Term

In the sequence of numbers each term after the third term is found by subtracting the previous term from the sum of the two preceding terms. Therefore, the fourth term is found by . The fifth term will be found … Continue reading

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Wooden Blocks

A solid, wooden, rectangular prism is constructed by gluing a number of one-inch wooden cubes face to face. When the wooden prism is viewed (after construction) so that only three of its faces are visible, exactly of the one-inch cubes … Continue reading

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