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
- Bottom diameter
Milo poured 2 dl of fruit juice into a cylindrical glass with a base diameter of 6 cm. How high did the juice level reach in the glass? - Infinite speed
A runner completes her first lap of the track at an average speed of 5 km/h. How fast must she run her second lap so that her overall average speed for both laps is 10 km/h? - Calculate 5
Calculate the area and perimeter of a trapezoid with side a = 10, angle α = 40°, angle β = 50°, and side c = 3. - Compound fractions
Simplify the compound fraction using known formulas: (4a²-12a+9)/(4a-6) - Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container. - Cylindrical column
What is the mass of a reinforced concrete cylindrical column with a radius of 30 cm and a height of 4.5 m if the density of reinforced concrete is 2400 kg/m³? Round the result to whole kilograms. - Water Flow Rate
In one minute, 3 and 1 and a half liters of water flow out. How many liters of water will flow out in 2 and 1 half minutes? - Kilogram chleba
We need 750 g of flour for one kilogram of bread. How much flour do we need for 20 loaves weighing 1200 g? - Quadratic without formula
A quadratic equation is given: x²-x-2=0 Without solving this equation, construct a quadratic equation whose roots are the square of the roots of the given equation. - Construction - Euclid
Using Euclid's theorems, construct a triangle ABC with height on side c and size v = √8 cm. Choose the length of the hypotenuse c correctly. Write the construction procedure. - Turbine
A turbine in a small hydroelectric power plant requires a minimum supply of 9600 liters of water every second to function. A supply channel with a rectangular cross-section leads to the power plant, in which water flows at a speed of 10 m/s. The width of - Dimensions - rectangle
One side of the rectangle is 12 cm longer than the other. If we reduce each dimension by a third, the area of the rectangle will be reduced by 60 cm². Determine the dimensions of the rectangle. - Fresh Plums for Dried
From 2 kg of fresh plums, we get 400 g of dried plums. How many fresh plums do you need for 2 kg of dried? - Apples in Basket
There are 24 pieces of fruit in the basket. Apples are 2 times more than pears. How many apples are in the basket? - Atmospheric pressure
How and by how much hPa will the atmospheric pressure change when we take the cable car from Skalnate Pleso to Lomnický štít? The altitudes of the cable car stations are 1754 m above sea level and 2634 m above sea level. - Sheet metal troughs
A farmer orders sheet metal troughs from a tinsmith for watering calves on pasture. The tinsmith looks at a drawing of the trough and estimates how much sheet metal will be needed for one trough. Determine the sheet metal consumption, adding 15% for waste - Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston? - Grouping - combinatorics
In how many different ways can 24 people be divided into: a) 6 groups of the same size. b) Groups of 5, 6, 7, and 6 people. c) Groups of 4, 5, 7, and 8 people. - Triangle Area and Perimeter
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12. - Probability - coin
When tossing a coin 4 times in a row, what is the probability that a sign will come up 3 times?
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