Reason + equation - practice problems - page 11 of 36
Number of problems found: 710
- Solutions 8481
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions. - Two math problems
1) The sum of twice a number and -6 is nine more than the opposite of that number. Find the number. 2) A collection of 27 coins, all nickels, and dimes worth $2.10. How many of each coin are there? The dime, in United States usage, is a ten-cent coin. A n - Pine's forest
There were so many pines in the forest that they were sequentially numbered 1, 2, 3,..., and would use three times more digits than the pine trees alone. How many pine trees were there in the forest? - Big family
A certain number of people met at the family celebration - their average age was three times the number present. Then came my grandfather, who was 75 years old, and the average age was again three times the number present. How many people are celebrating - Third-class 8334
If we add one element to set A, the number of third-class variations increases two times. How many elements did the set initially contain? - Observed 8276
We observed road traffic. We only saw bikes and cars. There were a total of 40 laps on the road. List at least three options how many bikes could be and how many cars? - Completely 8236
Vášek went on a trip, and since he had little money, he lent Lukáš the same amount he had. When he spent 40 crowns, he again borrowed from Adam the same amount as he had in his wallet. When he spent 40 crowns again, he was completely penniless. What amoun - Dog price
Tereza agreed to get a dog and 6000 crowns a year for help in a dachshund breeding station. After eight months, she had to finish work and got a dog and 2000 crowns. What price does a dog have? - 102—likewise 8205
The number 20 137 is "like" the number 73 102—likewise, the decimal numbers 41.9 and 9.14, or 31.08 and 80.13, like each other. Find two mutually exclusive numbers whose product is 357.435. - Iron pole
The iron pole is in the ground 2/5 of its length, partly above the ground 1/3 is yellow, and the unpainted section is 6 m long. How long is the entire column? - Last page
Two consecutive sheets dropped out of the book. The sum of the numbers on the sides of the dropped sheets is 154. What is the number of the last page of the dropped sheets? - Four pavers
Four pavers would pave the square in 18 days. How many pavers do you need to add to the done work in 12 days? - Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1m attached so that its center lies on the longitudinal axis of the bar. Both bodies are of the same uniform material. The sphere is twice as heavy as the bar. Find the center of gravi - Several 8130
The hotel has 27 beds in several rooms. There are single, double and triple rooms. How many single, double and triple rooms can there be in the hotel? Give at least three options. - The work
The work was to be done by 150 workers. At the beginning of their work, The company reduced their number by 40, which increased the work time by 5 and 1/3 of the schedule. How long did work take? - Hares and pheasants
After the hunt, hares and pheasants lie in the field. There are a total of 80 heads and 190 feet. How many hares and how many pheasants? (please without equations) - Incorrectly 8075
Katka solved an example from mathematics. She could calculate 50% of the examples, guess the remaining questions, and guess one-fifth of them. She had 12 answers incorrectly. How many tasks did the test contain? - Prospering students
There are girls and 30 boys in the class. Boys are prospering 28, girls all. How many girls are in the class and how many boys are there, if all the prospering students are 95%? - The King
The King wants to divide his sons equally. He has 42 rubies and 45 diamonds. How many sons and how will they share them? - Self-counting machine
The self-counting machine works exactly like a calculator. The innkeeper wanted to add several three-digit natural numbers on his own. On the first attempt, he got the result in 2224. To check, he added these numbers again, and he got 2198. Therefore, he
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