Examples for secondary school students - page 145 of 230
Number of problems found: 4582
- Toboggan run
The length of the toboggan run is 60 m, and the height is 8 m. The boy pulls a sled weighing 15 kg. How hard does the boy pull the sled uphill? - Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x. - Repay, interest, loan
Ramchacha takes a loan amount of 240000 from a bank for constructing a house at a simple interest rate of 12% per annum. After one year of taking the loan, he rents the house at the rate of 5200 per month. Determine the number of years he would take to re - Matrices 5702
How many columns will the matrix K contain, which will be the product of matrices I and J, where matrices I and J are square matrices of the sixth order? - Determinant 5701 The unit matrix has the value of determinant 3. Find out how many elements this matrix contains.
- A steel
A steel hammer with a weight of 0.5 kg hits the nail at a speed of 3 m/s. How deep does the nail penetrate the wood if the hammer acts on the nail with an average force of 50N? - Vanilla ice cream
Alice stopped at an ice cream stand. Today they had pineapple, chocolate, yogurt, punch, vanilla, and apple ice cream on offer. Alice wants to buy two scoops of different ice cream. How many fewer options does Alice have when choosing ice cream if she kno
- Traveling 5687
The distance between the two cities is 60 km. It takes a slower vehicle half an hour longer to travel this distance than a faster one traveling at speed 50 percent faster. How fast is each vehicle going? - Two workers
Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself? - Three-fourths 5676
The three numbers are in the ratio of 4:7:14. Three-fourths of the smallest number is one greater than one-fifth of the largest number. How many times is the product of these three numbers greater than their sum? - Grandparents 5675
Susan asked her grandmother how many years had passed since her wedding to her grandfather. The grandmother replied that she has been married for 2/3 of her life and that her grandfather, who is 12 years older than her, has been married for 6/11 of his li - Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle? - Perpendicular projections
In a right-angled triangle, the perpendicular projections of the legs on the hypotenuse have lengths of 3.1 cm and 6.3 cm. Calculate the perimeter of this triangle. Round the result to the nearest hundredth of a centimeter. - Complex number coordinates
Which coordinates show the location of -2+3i - Test
The teacher prepared a test with ten questions. The student can choose one correct answer from the four (A, B, C, D). The student did not get a written exam at all. What is the probability that: a) He answers half correctly. b) He answers all correctly. c
- Clouds
We see the cloud under an angle of 26°10' and the Sun at an angle of 29°15'. The shade of the cloud is 92 meters away from us. Approximately at what height is the cloud? - Decreases 5625
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%? - Harvested 5623
They harvested 390 tons. Wheat is 18% more than barley and 126 tons less caliber than wheat and barley combined. How many tons of barley, wheat, and caliber were there? - Calculate 5619
Jana had to calculate 70 tasks, and if she had solved two more daily tasks than she had planned, she would have finished four days earlier. How many days did she have to calculate the tasks? - Metal cube
The steel cube has a length of its edge of 5 cm. It is made from steel with a density of 7800 kg/m³. What is the weight of this steel cube?
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