Examples for secondary school students - page 117 of 230
Number of problems found: 4597
- Rocket start
The body launched vertically up returns to the start site in 6 seconds. What height did it have? - Determine 8133
Determine the distance between two places, M, and N, between which there is an obstacle so that place N is not visible from place M. The angles MAN = 130°, NBM = 109°, and the distances |AM| = 54, |BM| = 60, while the points A, B, and M lie on one straigh - Raindrops
The train is moving at a speed of 60 km/h. Raindrops falling vertically in the absence of wind (with uniform movement due to the action of air resistance) leave traces on the windows of the train, deviating from the vertical direction by 30°. How fast are - Measurements 8129
The plane flies at an altitude of 22.5 km to the observatory. At the time of the first measurement, it was seen at an elevation angle of 28° and during the second measurement at an elevation angle of 50°. Calculate the distance it flies between these two - Dromedaries
The zoo has ten camels, including bipedal camels (drabers) and single-humped camels (dromedaries). They have a total of 14 humps. Determine the number of auctioneers in the ZOO. - Percentage increase
Increase the number 400 by 3.5% - Dimensions 8111
The sum of the lengths of all block edges is 4m. The width is twice the length, and the height is seven times the width. Determine the dimensions of the block. Thank you luck - Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: x²+(y-3)²=14 - Lighthouse
Marcel (point J) lies in the grass and sees the top of the tent (point T) and, behind it, the top of the lighthouse (P). | TT '| = 1.2m, | PP '| = 36m, | JT '| = 5m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from the s - Profit growth
A company's profit increased by 25% during 1992, increased by 40% during 1993, decreased by 20% in 1994, and increased by 10% during 1995. Find the average growth in the profit level over the four years. - Isosceles triangle 8
If the rate of the sides of an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree. - Carpenters
Carpenters 1 and 2 spend ten days and five days, respectively, to make one table. The first carpenter and 30 made 50 tables by the second. What is the average time spent on the products? - Children 8088
There are men, women, and children in society. There are 3 times more men than women and 5 more children than women. If 6 more men and 6 women came, men would be half the company. How many women, men, and children are there? - Cable car
Find the elevation difference of the cable car when it rises by 67 per mille, and the rope length is 930 m. - Incorrectly 8075
Katka solved an example from mathematics. She could calculate 50% of the examples, guess the remaining questions, and guess one-fifth of them. She had 12 answers incorrectly. How many tasks did the test contain? - Prospering students There are 30 girls and 30 boys in the class. Boys are prospering 28, girls all. If all the prospering students are 95%, how many girls are in the class and how many boys are there?
- Spherical cap 4
What is the surface area of a spherical cap, the base diameter of 20 m, and the height of 2.5 m? Calculate using the formula. - Employees 8068
One thousand employees work in the company. At the end of the year, 10% of all men and 20% of all women received bonuses. Thus, the company rewarded 14% of the total number of employees. How many men and women work in the company? - Power input
The construction lift lifted a 300 kg load to a height of 12 m with uniform movement. If the efficiency is 75% and the engine has a power input of 5 kW, how long did it take for the load to be lifted? - A screen
A screen is 1680 x 1050 pixels. What are the coordinates (and size in pixels) of a central area which is exactly 33% of the screen size?
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