Examples for secondary school students - page 114 of 230
Number of problems found: 4597
- 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? - Calculate 8326
Calculate the cone shell with a base diameter of 40 cm and a cone height of 50 cm. - Centimeter 8324
Calculate the radius of a sphere with a volume of 6.2 dm3, round to the nearest centimeter. - Triangle 8320
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. - Thousand 8302
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. - Weighing 8299
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. ) - Intersection 8295
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 - Together 8293
Shrek and Fiona together weigh 201 kg. And Shrek is two times heavier than Fiona. How much does Shrek weigh? - Measure 8292 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? - Curiosity factor
A blogger starts a new website. Initially, the number of traffic was 293 due to their curiosity factor. The business owner estimated that the traffic would increase by 2,6% per week. What will be the number of it in week 5? - Children 8275
Forty children and adults attended the trip. Together, they paid CZK 24,100. If children paid CZK 400 and adults CZK 700, how many adults and children would there be? - Lathe
95% of the components manufactured on the lathe comply with the standard, of which 80% of the components are first-class. How likely can we expect a manufactured part to be first class?
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