Grade - math word problems - page 601 of 950
Number of problems found: 18982
- Inequality 7320
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc - Two-thirds 7319
Bohuš spent a third of his savings on groceries. He paid two-thirds of the amount he had left at the stationery store. After shopping, he still had €18 left. How much € did Bohuš initially have? - Confectionery
The confectioner needs to carve a cone-shaped decoration from a ball-shaped confectionery mass with a radius of 25 cm. Find the radius of the base of the ornament a (and the height h). He uses as much material as possible is used to make the ornament. - Pimps
There were 24 pimps on the plate. Maros ate 12, his little sister four times less. How many pimps remained on the plate? - Calculation 7316
The king divided part of his lands between his three sons. To the first, he gave one-fifth. To the second, he gave 40 ha less than the first, and to the third, he gave 30% of the whole. Write down what part of the land was left to the king. Calculation us - Missing numerals
John described the example but forgot the numerals. Fill them in so that the result is correct. (2 solutions): 3 3 3 3 = 8 - Determine 7314
The hiker went from A to B and back in 3 hours and 41 minutes. The road from A to B is first uphill, then flat, and finally downhill. A hiker walked up a hill at a speed of 4 km/h, on a flat surface at a speed of 5 km/h, and down a hill at a speed of 6 km - Kindergarten 7313
The children in the kindergarten drank 20% of the prepared tea in the morning. They drank another 10% of the left tea afternoon. After the whole day, there were still 9 liters of tea left. How many liters of tea was prepared in the kindergarten in the mor - One-tenth 7312
The brother and sister will be a total of 73 years old. At present, a sister is one-tenths older than her brother. How old are they now? - -------------- 7311 In the following additional example, the same letters represent the same digits, and the different letters represent different digits: RATAM RAD -------------- ULOHY Replace the letters with numbers so that the example is correct. Find two different repla
- Continued 7310
In one workshop, they will do the given work in 15 days; in another workshop, where more members work, they will do the given work in 10 days. After three days of joint work, only the larger workshop continued the assigned work. In how many days will he f - Together 7309
Marta bought 10 kg of rice and 25 kg of flour for 40 euros. A kilogram of flour and a kilogram of rice together cost 1.80 euros. How much does 1 kg of each type of goods cost? - Water in a cube
How many ml of water will fit in a cube with an edge length of 5 cm? - Remaining 7307
At the hockey match, the stadium was full at the beginning. After the first period, 20% of the fans left; after the second period, one-sixth of the remaining fans left. How many fans were in the stadium at the start of the match if 700 stayed until the en - The contry - emigration
How many people lived in the country at the end of the year if there were 1,048,000 at the beginning? During the year, 11,730 children were born in the country, 1,350 people emigrated from the country, and 1,620 people returned or immigrated to the countr - Karel's 7305
Paul's age is 60% of Karel's age. In 15 years, Paul's age will equal 80% of Karel's age. How old is Pavel? - Selling price
Find the selling price. Cost to store: $50 Markup: 10% - Odd/even number
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by three and add one. Now, repeat the process with your new number. If you keep going, you'll eventually end up at one every time. Prove. - Single-digit 7302 Four different digits were on the four cards, one of which was zero. Vojta composed the largest four-digit number from the cards, and Martin the smallest four-digit number. Adam wrote the difference between Vojtov's and Martin's numbers on the board. Then
- What is one third
What is 1/3 as a decimal? Give your answer rounded to 2 decimal places.
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