Math practice for 13 year olds - page 348 of 414
Number of problems found: 8279
- 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 Smith has withdrawn from the bank, saving interest € 1,500.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 - Triangle area
In triangle ABC, the height on the c side is 12 cm. Calculate the area of this triangle if a = 15 cm and b = 13 cm. - Rectangle dimensions
The circle's radius circumscribed by the rectangle is 5 cm, and one side of the rectangle is 6 cm long. Calculate the length of the other side and the area of the rectangle. - Diamond side
The diagonals of the diamond are 18 cm and 14 cm long. Calculate the length of the diamond side. - Banknote count
Martin bought goods in the store for 260 CZK. He paid with a thousand CZK crowns. The saleswoman returned 18 banknotes and coins worth CZK 10 and CZK 50. How many of each value were there? - Two numbers
We have two numbers. Their sum is 140. One-fifth of the first number is equal to half the second number. Determine those unknown numbers. - Assistant
The Assistant rewrote 15% of the entire manuscript in 12 hours. How many hours must he still write to rewrite the rest of the manuscript? - Unknown number
Find an unknown number whose 1/5 is 40 greater than one-tenth of that number. - Disinfecting solution
How much distilled water is necessary to pour into 500 ml of 33% hydrogen peroxide to obtain a 3% disinfecting solution? - Saving
Paul saves 155Kč in 46 2 Kc and 5Kc coins. How much saved 2Kc and 5Kc coins? - 6 regular polygon
A regular six-sided polygon has a side 5 cm long. Calculate its area. Compare how many more cm² (square centimeters) has a circle inscribed the 6-gon.
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