Examples for secondary school students - page 21 of 237
Number of problems found: 4730
- Angles alpha 2
Angles alpha and beta are supplementary. Calculate their sizes if angle alpha is 50 degrees less than angle beta. - Distance Under Acceleration
What distance will a car starting from rest travel with an acceleration of 10 m/s² in 5 seconds? - 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. - 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 - Future Value with Interest
The deposit is €1,000 at an annual interest rate of 7.36%. What is the total amount after 3 years and 9 months? - Timetable
If a train travelling between two cities increases its scheduled speed by 5 km/h, it arrives 20 minutes early. If it decreases its speed by 5 km/h, it arrives 25 minutes late. 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 remainder to small buyers. He stored the remaining 270 tonnes of corn. How many tonnes of corn did he sell in total? - In a right triangle 13
The altitude to the hypotenuse of a right triangle is 4.8 cm. The two segments of the hypotenuse are in the ratio 4:3. Calculate the perimeter and area of the 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 adjacent vertices of the flower bed. - Aluminum ignote
At what temperature did the temperature stabilise if an aluminium ingot weighing 45 kg, initially at 15 °C, received 4.8 MJ of heat? The specific heat capacity of aluminium is 896 J/(kg·°C). - Specific heat
How much heat must be added to convert 25 kg of ice at −15 °C into water at 23 °C? The specific heat of fusion of ice is 333 kJ/kg. - By mass
How much heat must be supplied to completely melt 45 kg of potassium initially at 22.4 °C and bring it to a temperature of 98 °C? The specific heat of fusion is 25.5 kJ/kg, the melting point is 63.32 °C, and the specific heat capacity of potassium is 757. - 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 (average mass 64 kg per person) in 54 seconds? - Standard
What is the rotational speed in revolutions per minute of a two-pole synchronous motor connected to a standard network with a frequency of 50 Hz? - Crowbar - lever
How much force must be applied to the end of a 2.4 m long crowbar to lift a door weighing 220 kg, if the crowbar rests on the ground and the door stands on it 35 cm from the ground-end? - Height from Impact Velocity
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 lifts an elevator car (weighing 390 kg) with twenty boxes (each weighing 25 kg) to a height of 85 m in 29 seconds.
- Acceleration - gravity
What is the gravitational acceleration if a body with a mass of 5.8 kg fell from 68 metres 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 in total? - One-time payment
The price of a refrigerator is 7,500 CZK for a one-time payment. If the customer chooses to pay in instalments, they pay 800 CZK per month for 1 year. By what percentage does the customer pay more for the refrigerator when purchasing in instalments compar
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