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
- Two cubes 3
Two cubes made of plasticine have single-digit integer edge lengths differing by 1 cm. Can a single larger cube with an integer edge length be made from the same total amount of plasticine? - In a right-angled 17
In right triangle DEF with hypotenuse f = 12 cm, the interior angle at vertex D is 60°. What is the length of side e? - Swimming pool 5
There are 5,500 men, women, and children at a swimming pool. There are twice as many women as men, and four times as many children as women. How many men, women, and children are there at the swimming pool? - Right Triangle Angle
In a right triangle ABC, hypotenuse c = 8 cm and leg b = 4 cm. What is the size of angle α? - What is 19
What is the length of the hypotenuse c of right triangle ABC if the angle α at vertex A is 30° and leg a = 3 cm? - In a right-angled 15
In a right triangle ABC with hypotenuse c, leg b = 4.5 cm and tan α = 2/3. What is the length of leg a? - Hypotenuse of ABC
In a right triangle ABC with hypotenuse c, leg a = 6 cm and sin α = 3/5. What is the length of leg b? - Percent of Number
What percentage is 70 of 35? - Four-digit - sum
A four-digit number has a digit sum of 20. The sum of its last two digits equals the second digit increased by 5. The sum of the first and last digits equals the second digit decreased by 3. If we write the digits of this number in reverse order, the numb - Target - shooting
A shooter hits the target with a probability of 78%. Determine the probability that, in a competition where 3 shots are fired in succession, he misses only the first shot. Round the result to two decimal places. - Family - land
The Veselý family bought a plot of land measuring 30½ m by 26⅔ m. Before they start building, they want to fence it. How many metres of fencing do they need to buy if they leave 2⅞ m for the gate? - Probability - target A target is divided into two zones. The probability that a shooter hits zone 1 is 21%, and the probability of hitting zone 2 is 48%. What is the probability that the shooter hits the target?
- Mirka 2
Mira is saving for a bicycle. She already has €336, which is 1/5 more than half the price of the bicycle. How much does the bicycle cost? - Two resistors 5
Two resistors are connected in parallel. The first resistor has a resistance of 2,000 ohms and a current of 4 mA flows through it. The second resistor has a resistance of 1,600 ohms. 1. Draw a circuit diagram. 2. Determine the voltage of the power source. - Meeting of two airplanes
Two airplanes took off simultaneously from two airports 500 km apart, flying toward each other. One flies at a speed of 480 km/h, the other at 720 km/h. How long after takeoff will they meet and what distance will the first airplane fly? a) If there is no - To the city
A bus departs for a city 54 km away at an average speed of 15 m/s. A motorcycle departs from the same place 12 minutes after the bus to follow it. Calculate the average speed of the motorcycle if it arrives at the destination at the same time as the bus. - Tractor 17
A tractor's average speed was 2.4 km/h in the first minute of starting, 3.6 km/h in the second and third minutes, and 5.0 km/h in the fourth through sixth minutes. What distance did it cover during the first six minutes of driving? Determine the tractor's - Isosceles
A flower bed has the shape of an isosceles triangle with a base of 25 m and legs of 30 m. Calculate the maximum number of flowers that can be planted in this bed, assuming each flower requires approximately 8 dm² of space. Round the result to the nearest - Laboratory
In a laboratory, twelve litres of 80% alcohol were to be diluted to produce 40% alcohol, and then further combined to make a final 70% alcohol solution. A five-litre barrel of 40% alcohol was available. How much of the 40% alcohol will remain in the barre - Suitcase - rod
The boot of a car has the shape of a cuboid with dimensions 1.6 m × 1.2 m × 0.5 m (width × depth × height). Determine the longest thin rod that can be placed flat on the bottom of the boot.
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