Math practice for 13 year olds - page 357 of 424
Number of problems found: 8476
- Concreted
The tank of a biological treatment plant has the shape of a cylinder with a base diameter of 2.5m. It is usually filled to four-fifths of its volume. What is the volume of the treatment plant if its height is 2.8m? The treatment plant container is placed - Wallet
She spent a fifth on the first purchase from the money in her wallet. From the remaining money, she could buy 2 kg of strawberries. But she purchased only 1.5 kg for 60 Kc. How much money was Marie originally in her wallet? - Trapezium
The length of the base and the height size of the trapezium base are at a ratio of 5:3:2. The trapezium area is 128 cm². Calculate the length of the base and the height of the trapezoid. - Land area
The land area of Asia and Africa are in a 3:2 ratio, and the European and African are 1:3. What are the proportions of Asia, Africa, and Europe? - Planet diameters
The diameter of the Earth and the diameter of Mars are approximately 15:8, and the diameter of Mars and the diameter of the Moon are 2:1. What is the ratio of the diameters of the Earth, Mars, and the Moon? - Mixing
If we mix 5 kg of goods of one kind and 3 kg of the second one, the resulting mixture costs 16.50 EUR/kg. If these quantities are mixed in reverse - the first three kilograms and 5 kilograms of the second cost of the mixture is 18.50 EUR/kg. What is the p - Bank interest
The entrepreneur invested euros in the bank at the beginning of 2000 for a period of 9 months with an annual interest rate of 12%. How many euros will the bank credit him with the deposit after nine months? - Train speed
The express train set off from city A to city B at an average speed of 100 km/h. At the same time, a passenger train departed from city B to city A. The trains met after 90 minutes. Calculate the average speed of a passenger train if the distance between - Right prism
The base of the right prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism. - Vehicle meeting
The distance between P and T is 89 km. At 8:00 AM, a lorry set off from T at a speed of 28 km/h, and at 8:45 AM, a passenger car set off against it from P at 52 km/h. When and at what distance will they compete? - Two balls
Two balls, one 8 cm in radius and the other 6 cm in radius, are placed in a cylindrical plastic container 10 cm in radius. Find the volume of water necessary to cover them. - Water containers
One m³ of wood weighs 650 kg, of which 12% is water. How many 10-liter containers do we need for this amount of water? - Money distribution
Andrej and Jerry have a total of 540 euros. Their amounts are in the ratio of 1:8. Determine how much money each has. - Cube edge
Find the length of the edge of a cube if its surface is 1296.5 cm². - Equilateral triangle v3
Find the area of the colored gray part. An equilateral triangle has a side length of 8 cm. Arc centers are the vertices of a triangle. - Ace
The length of segment AB is 24 cm, and the points M and N are divided into thirds. Calculate the circumference and area of this shape. - Millionaire
Mr. Smith has withdrawn from the bank, saving interest € 1,500. How big was his initial deposit if the annual interest rate was 1.5%? - Math heart
A stylized heart shape is created from a square with a 5 cm long side and two semicircles over its sides. Calculate the area and its circumference. - Loan interest
Eric borrowed 50 euros from his mother for four months at a rate of 5% p.a. (per year). How much does he have to return? - Block volume
Calculate the volume of the block if a = 3 cm, the size of the body diagonal is 10 cm and the size of the diagonal of the base is 5 cm
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