Reason + third power - practice problems
Number of problems found: 11
- Rectangle 82087
A 9cm × 15cm rectangle is divided into unit squares. How many paths are there from one rectangle vertex to the opposite vertex if one can only go to the right and up the sides of the squares? - Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has
- Granddaughter
In 2014, the sum of the ages of Meghan's aunt, her daughter, and her granddaughter was equal to 100 years. We know the age of each can be expressed as the power of two. In what year was the granddaughter born? - Cardboard box
Peter had square cardboard. The length of the pages was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit precisely 108 cubes with an edge one dm long. Julia cut four squares with a side - No smoke
Tobacco company NO-SMOKE adorned its stand at the cigarette-type trade fair with cigarette-shaped. The dimensions of which were 20 times the size of a regular cigarette. Regular cigarette contains 0.8 mg of nicotine. How much nicotine would a giant cigare - Multiply 6257
If we multiply the numbers of the last three pages of the book on pyramids, we get the product 23639616. How many pages does the book have if the last page's number is steam? - Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. On the second line, write a total of this number, and its one fifth. She wrote a sum of this number and its one nines on the third row.
We apologize, but in this category are not a lot of examples.
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