Maths practice for 14 year olds - page 303 of 362
Number of problems found: 7226
- 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 - Float boya
A spherical float with a diameter of 0.5 m marks the location of a fishing boat's anchor. It floats in salt water. Find the depth to which the float sinks if the material it is made of has a density of 8 kg/m³ and salt water has a density of 1,027 kg/m³. - 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. - AP - simple
Find the first nine elements of the sequence if a10 = -1 and d = 4 - 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. - Quatrefoil
Calculate the quatrefoil area, inscribed in a square with a side of 6 cm. - 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?
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