Math practice for 13 year olds - page 363 of 423
Number of problems found: 8455
- Tractors
Six tractors plowed the field for eight days. After two days, two tractors broke down. How many days were prolonged work in the field? - 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? - Information 2704
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? - Experienced 2703
The customer wants to buy 300 meters of wire with d = 4mm. 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. - 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? - Approximately 2696
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? - Mother and daughter
The ratio of mother and daughter years is 5:2. After seven years, the ratio is 2:1. How many years ago was the daughter born? - 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 - Entrepreneur 2691
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? - Passenger 2690
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 - Vertical prism
The base of the vertical 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. - Passenger 2688
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 8cm in radius and the other 6cm in radius, are placed in a cylindrical plastic container 10cm in radius. Find the volume of water necessary to cover them. - Containers 2686
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? - Determine 2684
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. - 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.
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