Searching word math problems
Discover the latest math problems and word problems designed to deepen your understanding of mathematics. Solutions are explained simply and clearly so that everyone can follow along. Regular practice is the best way to succeed at school and in entrance exams. New problems are added every day — come back and practice more.Number of problems found: 19685
- Hydraulic jack
The small piston of the hydraulic jack has a capacity of 40 cm² and a large 120 cm². How heavy will a body lift when a man weighing 70 kg stands on a small piston? - Electric cooker
During which time does an electric cooker with power input P = 500 W and efficiency n = 75% heat water with mass m = 2 kg and temperature t1 = 10 °C to the boiling point (t2 = 100 °C)? The specific heat capacity of water is c = 4 180 J/kg/K. - Aquarium wet walls
The aquarium has the shape of a block with dimensions a = 40 cm, b = 15 cm, c = 30 cm. The aquarium is two-thirds full of water. Calculate the area of wet walls of the aquarium. - System equation solving
Solve the following system of equations: x + 4y = 5 2x - 3y = -6 - Number zero puzzle
I think of a number. When it is substituted into the expression (x − 4)(2x − 1), the result is zero. What could the number be? - Bus average speed
A bus travels from Prague to a destination, taking 1 hour and 30 minutes and covering 105 km. Calculate the average speed of the bus. - Sphere cube filling
Nine identical spheres are stacked in the cube to fill the cube's volume as much as possible. What part of the volume will the cube fill? - Fraction to decimal infinite
Find which digit is at 1000th place after the decimal point in the decimal expansion of the fraction 9/28. - Consecutive members
The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, and c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence. - Pool filling time
How long does it take to fill a pool measuring 6x4x1 m at a flow rate of Q = 0.2 dm³ / s? - Territory
In an old legend about the founding of Rome, it is said that Romulus and Remus could obtain for their city as much land as a single hide from a bull would cover. Romulus and Remus came up with a trick, they cut the hide into strips and with them bounded t - Roof height
Calculate the height of the house's roof, which is an isosceles triangle with a base of 8.4 m and arms of 6.5 m. - On the floor 2
The living room's floor area is 9 7/9 m². A carpet covering an area of 5 5/8 m² is placed on the floor. Find the area of the room that is not covered with carpet. - Cake portion comparison
Three children got part of the cake. Which got the most? Tomas 24% Lenka 0.3 Philip 2/7 - Triangle - sines
The sum of the lengths of the two sides b + c = 12 cm Beta angle = 68 Gamma angle = 42 draw triangle ABC - Weighted harmonic average
Ten workers will do some work in 2 minutes, five in 10 minutes, and three in 6 minutes. How many minutes per average worker per worker? - Below sea level
A submarine was situated 800 ft. Below sea level. If it ascends 250 ft., What is its new position? (Hint: Below sea level implies a negative integer). - Surface area and volume
Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length is 3.4 cm. - Honored students
Of the 25 students in the class, ten are honored. How many ways can we choose five students from them if there are to be exactly two honors between them? - Product selection ways
Among the 24 products, seven are defective. How many ways can we choose to check a) 7 products so that they are all good b) 7 products so that they are all defective c) 3 good and two defective products?
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