Reason + power - practice problems - page 2 of 3
Number of problems found: 42
- 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? - Determine 5893
Determine the largest integer n for which the square table n×n can be filled with natural numbers from 1 to n² (n squared) so that at least one square power of the integer is written in each of its 3×3 square parts. - Highway tunnel
The company built the highway tunnel from two ends in the north-south direction. The average daily performance of the "northern party" rasters was higher than the average daily power of the "southern party" rasters. After 55 business days, both parties me - Circumscribed 5465
Inside the rectangle ABCD, the points E and F lie so that the line segments EA, ED, EF, FB, and FC are congruent. Side AB is 22 cm long, and the circle circumscribed by triangle AFD has a radius of 10 cm. Determine the length of side BC.
- Three-digit 5312
Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits. - Calculate 4842
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm. - Coefficients 4445
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1) - 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. - Tributaries 3458
At the swimming pool, they usually use three tributaries with the same power to fill the pool. Then the pool will fill in 5 hours. How many hours less would it take to fill the pool if they added 2 more inlets with the same capacity?
- Tiles
How many tiles of 20 cm and 30 cm can build a square if we have a maximum of 100 tiles? - Product 3108
The product of 3 numbers is 42. The first is 1.5 times larger than the second number, and the third is 3.5 times larger than the second number. What numbers are these? - Complete 2833
The tiler covered 3/5 of the wall with tiles in two hours and 45 minutes. How long did it take to complete the entire lining area at the same power? How long did the whole job take him? - Substitute 2633
I think the number is when you substitute it in the expression (x-2). (2x - 1), you get zero. What number can it be? - New computer
The new computer process a certain amount of data for 6 hours. How many hours will process the same amount of data older computer with a quarter lower performance?
- Variations 3rd class
From how many elements can we create 13,800 variations of the 3rd class without repeating? - Elevator
In homes with more floors, elevators are used. For passenger transport, the most commonly used traction elevator counterweight. The top of the shaft engine room with the engine. The car is suspended on a rope, which is guided up over two pulleys to the co - Workman - shift
The worker produces 300 components per shift. How many components would be produced in the 18 shifts if his performance gradually increased every shift by 3 components? - Root
The root of the equation (x-10)² +4 = x² +35x is (equal or greater or less than zero). ... - Garden
The square garden area is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden?
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