Maths practice for 14 year olds - page 314 of 368

Number of problems found: 7350

Centimeters - block
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block.
Prism - eq triangle
Calculate the volume and surface of the prism with the base of an equilateral triangle with side a = 4cm, and the body height is 6cm.
Triangular 2715
Determine the volume and surface of a triangular prism with a height of 12.4 cm; the base is a right triangle with 6 cm and 8 cm.
Equilateral 2714
Determine the volume and surface of a 9 cm high triangular prism if its base is an equilateral triangle with an 8 cm side.
Candelas
We burned two unequally thick and long candles. Longer burnt for three and a half hours and shorter for five hours. After two hours of burning, it was identical. How many times was a longer candle longer light than a shorter candle?
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.
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?
Float boya
A 0.5-meter spherical float is a location mark for a fishing boat anchor. It floats in salt water. Find the depth to which the float sinks if the material of which the float is made weighs 8 kilograms per cubic meter and saltwater weighs 1027 kg/m³.
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
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.
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.
AP - simple
Find the first nine elements of the sequence if a10 = -1 and d = 4

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