# The most difficult problems - page 2 of 5

- The size

The size of a Trapezium are 3/4*x cm, x cm, 2*(x+1) cm and 3(x+2) cm long respectively. If it's perimeter is 60cm, calculate the length of each side. - Younger 7832

Dad is r years old, and Mom is two years younger. The son is 20 years younger than the father. How old are they? - Kilograms 7828

The gas tank has the shape of a sphere with a diameter of 17.8 m. How many cubic meters of gas can it hold? How many kilograms of paint are needed to paint a gas tank if 1 kg of paint is enough to paint about 6 square meters? - Unknown mixed number

Find the number that is smaller than 5 5/12 by as much as 2 2/13 is smaller than 6 1/6 - Calculate 3

Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - Simplify

Simplify expression - which expression is equivalent to: 3(m + 2) − 4(2m − 9) - Divisors 7779

Two numbers are guessing. The second number is five times greater than the first number, and the square of the first number is equal to 3/5 of the second number, find the sum of the two numbers and all its divisors. - Rectangular field

A rectangular field has a diagonal of length 169m. If the length and width are in the ratio 12:5. Find the dimensions of the field, the perimeter of the field and the area of the field. - Distributed 7694

The children have 568 cards distributed as follows: Jano and Mišo in the ratio 3: 7 and Mišo and Laco in the ratio 3: 5. How many cards does Mišo have? - Tributaries 7678

We filled the pool with two tributaries. By first in 5 hours and by the second in 8 hours. The father came and drained 1/8 of the water. How long before the pool fills with both tributaries? - Minutes 7677

The bus goes 9 km in 7 minutes. How long will it take to go 35km (in hours)? - Opposite 7634

The first worker digs a canal in 3 hours. The other will dig the trench in 4 hours. They will work 1 hour opposite each other and then together. How long will it take them? - Inquality

Solve inequality: 3x + 6 > 14 - Cylindrical 7603

What is the diameter of a cylindrical container if half a liter of water reaches a height of 12 cm? - Temperature 7595

Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the t - One trapezium

One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area. - Infinite sum of areas

An equilateral triangle A1B1C1 is constructed above the height of the equilateral triangle ABC is constructed as. Above the height of the equilateral triangle A1B1C1 is built triangle A2B2C2, and so on. The procedure is repeated continuously. What is the - Iron density

Calculate the weight of a 2 m long rail pipe with an internal diameter of 10 cm and a wall thickness of 3 mm. The iron density is p = 7.8 g/cm³. - Perfect cubes

Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube? - Recipe

A recipe requires 2 pounds of flour. If a chef wants to triple the recipe, how many ounces of flour will be needed?

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