Maths practice for 14 year olds - page 302 of 361
Number of problems found: 7207
- Water inlets
An Inlet valve with a flow rate of 12 liters per second is filled tank for 72 minutes. How long does it take to fill the full tank if we open one more such valve half an hour after? - Siblings probability
The table contains information on the number of pupils according to the number of siblings: Number of siblings 0 1 2 3 and more Number of pupils 50 50 72 28 What is the probability that a randomly selected student has exactly two siblings? - Wire weight
The customer wants to buy 300 meters of wire with d = 4 mm. An experienced salesman knows that 100 meters of wire are about 10 kilograms, so he weighs 30 kilograms of wire. Find out how many meters of wire are in a bundle of wire weighing 30 kilograms (or - 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 - 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. - 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?
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