Math practice for 13 year olds - page 355 of 428
Number of problems found: 8549
- Pool percentage
Nine hundred hectoliters of water were filled into the cylinder-shaped pool. The pool is 1.5 m deep, and its diameter is 10 m. What percentage of the pool volume has the water-filled? - Hexagonal pyramid
Calculate the volume and the surface of a regular hexagonal pyramid with a base edge length of 3 cm and a height of 5 cm. - Square root calculation
Determine an unknown number equal to two-fifths of the square root of 49. - Raspberry baskets
Find how many raspberries are in the third and tenth baskets, if there are three raspberries in the first and eight raspberries more in each. - Weight ratio
Andrej, Michal, Patrik, and Juraj together weigh 128 kg. Their weights are in the ratio 1:6:7:2. Determine what weight each of them has. - Three numbers
Find three numbers so that the second number is three times larger than the first and the third is six larger than the second number. Their sum is 62 - Consecutive numbers
The sum of four consecutive odd numbers is 240. What are the numbers? - Inscribed circle
XYZ is a right triangle with a right angle at the vertex X and an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm. - Suit price
The webshop reduced the price of the suit by p percent. What was the new cost of the suit? - Kilogram - unit price
One kilogram of raisins costs a crown, and one kilogram of nuts a crown. They added 5 kg raisins and 3 kg nuts to the mixture. How much does 1 kg of mixture cost? - Beet pulling
Grandpa was pulling beets. The balance of forces of the participants was as follows: Grandfather : grandmother : granddaughter : dog : cat : mouse = 8:5:3:2.5:2:0.2. How many grandfathers would it take to pull out the beets? How many mice would be needed? - Calculate a cone
The height is 5 cm, and the size of the angle that the side of the cone with the base makes is 63 degrees. Calculate the surface and volume of this cone. - Notebook price
After an increase of 40%, the notebook cost 10.50 euros. How many euros would this notebook cost if it increased in price by only 30% instead of 40%? - Pupils at cinema
Alena bought movie tickets for two groups of pupils. The first group purchased seven tickets for 1st and five for 2nd place, and she paid 62Kč. The second group bought 11 tickets for 1st and four for 2nd place and paid 82Kč. How much was the ticket for 1s - Cylinder height
Calculate the height of the cylinder based on its surface S and the radius of the base r. a) r = 2 cm, S = 120 cm square b) r = 7 dm, S = 4,000 dm square c) r = 0.2 m, S = 20 square meters - Gold bar weight
How much does a gold bar measuring 5cm, 10cm and 3cm, and 1 cm³ gold weigh 19.3 g? - Unknown number An unknown number increased by 300% equals 62. Determine an unknown number.
- Conva
How many liters of water fit into the shape of a cylinder with a bottom diameter of 20 cm and a height of 45 cm? - Tank diameter
A cylindrical tank has a volume of 60 hectoliters and is 2.5 meters deep. Calculate the tank diameter. - Billboard rental
The municipality collects a fee of CZK 500 for 1 m of square billboard space. How much will he earn if he rents a cylinder-shaped column with a diameter of 2 m and a height of 3 m to stick posters?
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