Examples for secondary school students - page 115 of 232
Number of problems found: 4622
- Set variation increase
If we add one element to set A, the number of third-class variations increases two times. How many elements did the set initially contain? - Variation element count
How many elements do we create 90 variations of 2 classes without repeating elements? - One three
We throw two dice. What is the probability that number three falls maximally once? - Perpendicular and parallel
Find the value of t if 2tx+5y-6=0 and 5x-4y+8=0 are perpendicular and parallel lines. What angle does each line make with the x-axis, and find the angle between the lines? - Cone Lateral Surface Area
Calculate the cone shell with a base diameter of 40 cm and a cone height of 50 cm. - Sphere radius calculation
Calculate the radius of a sphere with a volume of 6.2 dm3, round to the nearest centimeter. - Triangle height possibility
Is there a triangle with heights of 4, 7, and 10 meters? - Mice
Mice consumed a circular hole in a slice of cheese. The cheese is a circular cut with a radius of 20 cm and an angle of 90 degrees. What percentage of the cheese ate mice if they made 20 holes with a diameter of 2 cm? - Roof angle
The house's roof has the shape of an isosceles triangle with arms 4 m long and the size of the base 6 m. How big an angle alpha does its roof make? - Carla
Carla is five years old, and Jim is 13 years younger than Peter. One year ago, Peter's age was twice the sum of Carla's and Jim's. Find the present age of each one of them. - Height of the room
Given the floor area of a room as 24 feet by 48 feet and the space diagonal of a room as 56 feet. Can you find the height of the room? - Quadrilateral prism
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area? - Perimeter of RT
Find the circumference of the rectangular triangle if the sum of its legs is 22.5 cm and its area is 62.5 cm². - Band concert attendance
Ten thousand people came to the band. How many of them were adult students, and how many students? If adults paid CZK 300, students paid CZK 100 and paid a total of 2,300,000. - Truck Loads Weight Percentage
In the second truck, the load was 20% heavier than in the first, and in the third, the load weight was 20% less than in the second. In total, the trucks carried a load weighing 15.8 tons. How much did each cost weigh? - Sphere floating
Will a hollow iron ball float with an outer diameter of d1 = 20cm and an inside diameter of d2 = 19cm in the water? The iron density is 7.8 g/cm³. (Instructions: Calculate the average sphere density and compare it with the water density. ) - Function ascending descending
Write whether the function is ascending or descending and determine the coordinates of the intersection with the x and y axes: y = 3x-2 y = 5x + 5 y = -0.5x-1 - Shrek Fiona weight
Shrek and Fiona together weigh 201 kg. And Shrek is two times heavier than Fiona. How much does Shrek weigh? - Shrek Fiona height Shrek and Fiona have a total of 360 cm. Shrek is 24 cm taller than Fiona. How many cm does Shrek, and how many does Fiona measure?
- Bonuses
Five company employees were paid bonuses, so each successor received 550 USD less than the previous employee. If a total of USD 11,000 was paid, how much did everyone get?
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