Examples for secondary school students - page 185 of 237
Number of problems found: 4730
- Flowerbed
The family has tulips on a square flower bed of 6 meters. Later, they added a square terrace with a side of 7 meters to their house. One vertex of the terrace lay exactly in the middle of a tulip bed, and one side of the terrace was divided by the side of - Arithmetic sequence
a1 = 1 s40 = 1600 a40 =? - Farm animals
Grandfather keeps 40 animals — geese, pigs, goats, and chickens—in total. There are 3 geese for every goat. If there were 8 fewer chickens, there would be as many geese and pigs combined. If Grandpa exchanged a quarter of the geese for chickens at a ratio - Programmer reward
Three programmers received a joint reward of €21,000. The money was divided according to their work contributions. The first received 20% less than the second, and the third received 50% more than the first. How much did each of them receive? - Pond draining
The pond is emptied with a sluice in 45 days. When 2/3 of the pond needs to be drained in 15 days, the second sluice gate will also open for 10 days. How many days would the pond be emptied only by a second sluice? - Enterprise company
30% of all employees in the enterprise are women. Men are 360 more. How many employees are in the company? - Projectile height
A 100 g body is ejected vertically upwards from the surface of the Earth at an initial speed of 30 m/s. Determine the height at which the body rises and its potential energy at the path's highest point. - Motel
Three different dinners, A, B, and C, are served in the motel. Three 20 members went to a motel. Group 1 ordered dinner A 20 members, and their average dinner price in the group was CZK 200. From Group 2, they ordered dinner A: 10 persons, B 10 dinners, a - Rhombus OWES
OWES is a rhombus, given that OW is 6 cm and one diagonal measures 8 cm. Find its area? - Function intersection
Intersection of graphs of functions y = 5x-2 and y = -3x-6 - Rain probability
In recent years, it has rained 12 days in March. What is the probability that it rained on March 18? - Energy
In one region, the September energy consumption levels for single-family homes are normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find the consumption level separating the bottom 45% from the top 55%. - Triangle sides
Calculate the lengths of the sides of the triangle ABC, in which angles α = 113°, β = 48°, and the radius of the circle of the triangle described is r = 10 cm. - Triangle sides
Calculate the size of the sides and angles of the triangle ABC if you know vc = 28, α = 51°19', β = 67°38'. - Candy sharing
Jane, Martha, and Susan shared candies in a ratio of 4:5:3. During this division, Martha had 16 sweets less than Jane and Susan had together. How many candies did each of the girls have? - Trees
A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall. - 6 terms
Find the first six terms of the sequence. a1 = 7, an = an-1 + 6 - Isosceles trapezoid
In an isosceles trapezoid KLMN, the intersection of the diagonals is marked by the letter S. Calculate the area of the trapezoid if /KS/: /SM/ = 2:1 and a triangle KSN is 14 cm². - Trapezoid waste
We cut two triangles from the rectangular plate so that the resulting quadrilateral-trapezoid with the same arm lengths has an area of 32 cm², and one of its bases is twice as long as the other. What is the area of the two triangles that make up the waste - Square pyramid
What is the surface of a regular pyramid with a square base? If each edge of the base measures 40 mm, the pyramid's height is 44 mm, and the pyramid's height is 38 mm.
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