Numbers - math word problems - page 278 of 307
Number of problems found: 6132
- Decreasing 36183
Prove that the sequence {3 - 4. n} from n = 1 to ∞ is decreasing.
- Arithmetic 84171
The arithmetic mean of two numbers is 10. One of the numbers is 2. What is the second number?
- Lin has
Lin has a cake pan that has a length of 8/3 inches, a width of 15/4 inches, and a height of 3/2 inches. What is the volume of the cake pan?
- Triangles - count
Find out how many triangles you create from lines 7 dm, 5 dm, 10 dm, 12 dm, and 15 dm long.
- Kilometers 8343
The tourist trip route measures 28 cm on a map with a scale of 1:50000. The average speed of the march is 4km/h. How many kilometers does the trip measure? How many hours do students spend on the road?
- What percentage
Petra made lemonade from one liter of 100% fruit juice and three liters of water. When she tasted it, she found that it was too sweet and would not be tasty for everyone. She left two liters of it for her friends. She added two more liters of water to the
- Interested 7090
We call a natural number N bombastic if it contains no zero in its notation and if no smaller natural number has the same product of digits as the number N. Charles first became interested in bombastic prime numbers and claimed that there were not many of
- Consumption 6068
In two months, the Novák family consumed 624 kWh of electricity during the day and 3018 kWh at night. How much kWh of electricity will the Novák family consume now in two months at the daily rate, and how much at the night rate if they decide to reduce co
- Wagons
We have six wagons: two white, two blue, and two red. We assemble trains from them; wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train because I don't know any difference. How many di
- Beta's number
Beta thought of a natural number with different digits and wrote it on the board. Below wrote the digits of the original number on the back and thus got a new number. By adding these two numbers, he got a number with the same number of digits as the inten
- Four-digit 10261
Roman likes magic and math. Last time he conjured three- or four-digit numbers like this: • created two new numbers from the given number by dividing it between digits in the place of hundreds and tens (e.g., from the number 581, he would get 5 and 81), •
- Castle Museum
Many medieval cannons made of cannon were found in the Castle Museum (cannon is an alloy of tin and copper in a ratio of 1:9). The councilors agreed that they did not need cannons, but a new bell would be thrown at the town tower. The bells are made of be
- Calculate 82286
If I reduce a segment of length 72 cm in a ratio of 5:8, it will have a length of x cm. Calculate x.
- One million
Write the million number (1000000) using only nine numbers and algebraic operations plus, minus, times, divided, powers, and squares. Find at least three different solutions.
- Introduced 81104
The * (asterisk) operation assigning one number to two pairs of numbers is introduced as follows: (a, b)*(c, d) = ac+bd We know that: (x,2)*(-1, v) = -1 and (2,-1)*(u, v)=5 and (u, v)*(1,1)=-2 What is (1,2)*(x, y) equal to if y=3?
- Factorization and primes
Write how many twos are in the prime factorization of the number 2024.
- 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
- Divide in ratio
Line segment AB is 12 cm long, divided in a ratio of 5:3. How long are the individual parts?
- Bouquets
The flower shop sells roses, tulips, and daffodils. How many different bouquets of five flowers can we make?
- Combinatorics
In how many different ways can we seat three people on three chairs, four on four, five on five, and six on six chairs? Find common properties when selecting objects from the point of view of combinatorics. Find out the principle of calculating all possib
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