Math practice for 13 year olds - page 295 of 434
Number of problems found: 8664
- Volume and body diagonal
Calculate how much the cuboid's volume and body diagonal decrease if we reduce each of its three edges, a, b, and c, by 18%. - Pendulum
Calculate the pendulum's length 2 cm lower in the lowest position than in the highest position. The circular arc length to be described when moving is 20cm. - 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 - Aquarium
There are 15 liters of water in a block-shaped aquarium with internal dimensions of the bottom of 25 cm and 30 cm. Find the area of water-wetted surfaces. Express the result in dm square. - Gas tank
The car's tank was two-twelfths full. When Dad filled the tank with gas, the volume of gas increased by five-eighths of the tank's volume. What fraction of gasoline did the car use when the tank is now 1/3 full? - System: 5690
Solve the system: 2 * (x-2) = 6y + 6 y-x = -2 - Traveling 5687
The distance between the two cities is 60 km. It takes a slower vehicle half an hour longer to travel this distance than a faster one traveling at speed 50 percent faster. How fast is each vehicle going?
- Manufacturing 5686
If you know that the company produces four similar products that differ only in the weight of the packaging, determine the final price of the product in terms of costs. The total cost of manufacturing the product was CZK 5,745,000. And 10 kg 15,000 pcs B - Parallelogram 5685
Calculate the height of the parallelogram, which has an area of 2.31 square meters and a side of 15.4 cm. - Garden fence
The garden has the shape of a rectangular triangle with an area of 96 square meters and a 16 m long leg. How many meters of the fence need to be fenced? - Centimeters 5681
The triangle has side lengths expressed in whole centimeters. One of them measures 8 cm, and the sum of the remaining two sizes is 32 cm. Determine the lengths of the remaining sides. Find all solutions. - University students
One company employed a university student on a farm for the entire month of June by paying him €16 and a full board for one day. If he did not work that day, he had to pay €6 for the meal. How many days did the student work if he earned €348 in the month - Two workers
Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself? - Numbers 5677
The first number is 50% of the second, the second number is 40% of the third, and the third number is 20% of the fourth. The sum is 396. What are the numbers? - The tower
The tower of the Dean's Church in Ústí nad Labem deviates from the original vertical axis by 220 cm. Its original height was 48 m. At what height is the highest point of this tower now? Enter the result to the nearest centimeter.
- The pole
A 4 m bullet supports the telegraph pole. It is at 3/4 of pole height, and the end is at a distance of 2.5 m from the pole post. Calculate the height of the telegraph pole. - Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle? - Average 5665 At 10:00 AM, two cars drove against each other from places 240km away. One was driving at an average speed of 70km/h. What was the speed of the other when they met at 11:30?
- Three-quarters 5664
Which number applies to three-quarters of which are five greater than its one-third? - Together 5663
Two workers would do the work together in 2 days. The first would do some work here in 6 days. In how many days would the second worker do this work?
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