Examples for secondary school students - page 20 of 230
Number of problems found: 4597
- Interest 83990
The deposit is €1000. The interest is 7.36% per year. What is the amount after 3 years and 9 months? - Timetable
If a train traveling between two cities increases the speed specified in the timetable by 5 km/h, it will arrive 20 minutes earlier. If it decreases it by 5 km/h, it will arrive 25 minutes later. How long is the route between the cities? - To a wholesaler
A farmer sold 10% of last year's corn crop to a wholesaler and a third of the rest to small buyers. He stored the remaining 270 tons of corn. How many tons of last year's corn crop did he sell? - In a right triangle 13
The height of the hypotenuse is 4.8cm. The hypotenuses are in the ratio 4:3. Calculate the perimeter and area of a triangle. - Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between the adjacent vertices of the flower bed. - Aluminum ignote
At what temperature did the temperature stabilize if an aluminum ignote weighing 45 kg and at a temperature of 15°C received 4.8 MJ of heat? The specific heat capacity of aluminum is 896 J/kg°C. - Specific heat
How much heat must we add to turn 25 kg of ice at a temperature of -15 degrees Celsius into water with a temperature of 23 degrees? Specific heat of fusion 333 kJ/kg. - By mass
How much heat must we supply to completely convert potassium weighing 45 kg at a temperature of 22.4 °C into potassium at a temperature of 98 °C? The specific heat of fusion is 25.5 kJ/kg, the melting point is 63.32 °C. The specific heat capacity of potas - Elevator efficiency
To what height will an elevator motor with a power of 25 kW and an efficiency of 48.6% transport a cabin weighing 445 kg with seven people (the average weight of one person is 64 kg) if it takes 54 seconds? - Standard
What will be the speed of a two-pole synchronous motor connected to a standard network with a frequency of 50Hz? In revolutions per minute. - Crowbar - lever
How much force must we apply to the end of a 2.4 m long crowbar to lift a door weighing 220 kg, if it stands on the crowbar 35 cm from its end, which is resting on the ground? - Weighing 83881
From what height did a body weighing 9.8 kg fall if it hit the surface at a speed of 100 km/h? - Motor efficiency Calculate the power input of a motor operating at an efficiency of 58% that will lift an elevator car (weighing 390 kg) with twenty boxes (each 25 kg) to a height of 85 m in 29 seconds.
- Acceleration - gravity
What is the gravitational constant (acceleration) if a body with a mass of 5.8 kg fell from 68 meters and hit the ground at a speed of 60 km/h? - Borrowed
Mr. Douda borrowed 200,000 SK from the bank at an annual interest rate of 15.4%. He will repay the loan after four years. How many korunas will he have to repay? - Maths exam
One-third of all high school students passed the math exam. Five of these students failed the math exam. One-quarter of all students in the high school graduating class passed the math exam. Calculate how many students there were in the high school gradua - One-time payment
The price of a refrigerator is 7500 CZK for a one-time payment. If the customer chooses to purchase in installments, he will pay 800 CZK every month for 1 year. Determine by how much percent the customer will pay more for the refrigerator when purchasing - Calculate 5
Calculate the area and perimeter of a trapezoid if side a=10, angle alpha 40 degrees, beta 50 degrees, and side c=3. - 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 83662
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.
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