Themes, topics - math word problems - page 132 of 174
Number of problems found: 3477
- Water flow
120 hl of water flows out of the tank through 4 pipes in 16 hours. How much water flows through 5 identical pipes in 14 hours? - One million
Write the million number (1000000) using only nine numbers and algebraic operations plus, minus, times, divided, powers, and squares. Find at least three different solutions. - Wheel revolutions
The diameter of the motorcycle wheel is 60 cm. How many times does the wheel turn on a track 1,884 km long? - Alcohol mixture Three liters of 96 percent alcohol set up a certain amount of distilled water to form 54 percent alcohol. How many liters of distilled water were used?
- Equation algebraogram
Solve the equation: oco + ivo = cita How many solutions does the problem have? - Rhombus construction
Construct a rhombus ABCD if AB = 5 cm, BD = 6 cm and AC = 3 cm - Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides. - Lake area
At a speed of 4 km/h, we go around the lake, which has the shape of a circle, in 36 minutes. What is the area of the lake? Please result express in hectares. - Cyclists meeting Two cyclists drove from two cities 66 km apart. One drove at an average speed of 18 km/h, the other at 15 km/h. How many hours will they meet?
- Competition participants
In the mathematical competition, its participants solved two tasks. Everyone solved at least one problem, while 80% of the participants solved the first problem, and 50% solved the second problem. Sixty participants solved both tasks. How many participant - Copper density
The copper roller weighs 547.4 g. To determine its volume, use the copper density, which is ρ = 8960 kg/m³. - Passenger trains
Two trains are traveling towards each other on parallel tracks, one at a speed of 34 km/h and the other at a speed of 47 km/h. A passenger sitting on the second train noticed that the first train passed him in 6 seconds. How long is the first train? - Four-digit number Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits.
- Force Between Charged Balls
Calculate the force between two balls with charges of +3 μC and −4 μC when they are 60 mm apart. Calculate the force in a vacuum (k = 9 × 10⁹ N·m²/C²). - Casting material
What material is the casting that weighs 45.2 g and has a volume of 4 cm³? If it is a simple chemical element, write its chemical symbol. - Speed calculation
Daniel reached the destination in 3 hours. Peter came to this place in 4.5 hours. What speed was Daniel moving if we know that Daniel's speed was 30 km/h faster than Peter's, and they both started at the same time from the same place? - Motorcycle and car
A car travels 11000 decimeters per minute, and a motorcycle travels at a speed of 330 meters in 11 seconds. They leave Prague from the same place, and the motorcycle leaves 45 minutes later behind the car. Who will be closer to Vimperek after an hour and - Tree planting
Štěpán is planting trees. If he had planted 12 trees every hour instead of 9 trees, he would have finished 1 hour earlier. How many stems should he plant? - Pyramid intersection
Given a regular quadrilateral pyramid ABCDV, point M is inside its edge AV, and point N is on the long line DC beyond point C. Construct the intersection of the plane MNV with the plane BCV and the intersection of the line MN and the plane BCV. - Filling tank
A tank is filled to two-thirds of its volume. If 100 litres of water are pumped out, it will be only half full. What is the volume of the tank?
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