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Number of problems found: 3360

Warmer weather
This morning it was -6 °C. What temperature did the thermometer show yesterday if it was three times warmer?
Cake and cone cost
Janko got pocket money and wants to buy something good for it. If he purchased four cakes, it would increase by 0.50 euros. If he wanted to buy five cakes, he would miss 0.60 euros. He would spend all his pockets on the rest if he bought two cakes and thr
MO8-Z8-I-5 2017
Identical rectangles ABCD and EFGH are positioned such that their sides are parallel to the same. The points I, J, K, L, M, and N are the intersections of the extended sides, as shown. The area of the BNHM rectangle is 12 cm², the rectangle MBC
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 much has the task of solutions?
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 18km/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 exerted by two balls with charges of +3 μC and - 4 μC when they are 60 mm apart. Calculate the influence of the environment for a vacuum (k = 9.109 m / F).
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

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