Examples for secondary school students - page 118 of 237
Number of problems found: 4730
- Number expression writing
Write with: (a) the number x increased by half (b) the number y was reduced by 20 c) a quarter of the sum of the numbers x and y (d) a figure 20% greater than e) 40% of number x - RT sides
Find the sides of a rectangular triangle if legs a + b = 17 cm and the radius of the written circle ρ = 2 cm. - Chocolate candy mixture
Three different types of chocolate candies at the price of 18 CZK, 24 CZK, and 20 CZK per 10 dag (formerly mass unit - dkg). How much will CZK cost for 1 kg of mixture mixed in a ratio of 1:5:4? - Competition Prize Places
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? What is the prize for 15 participants in the competition? - 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 perimeter of a right triangle whose legs sum to 22.5 cm and whose 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 = 20 cm and an inside diameter of d2 = 19 cm in the water? The iron density is 7.8 g/cm³. (Instructions: Calculate the average sphere density and compare it with the water density. )
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