Examples for secondary school students - page 184 of 237
Number of problems found: 4730
- Triangle probability
From the numbers 4, 6, 8, 10, and 12, three are chosen at random. What is the probability that the three chosen numbers can form the sides of a scalene triangle? - Workshop shifts
Workshop A can fulfill a specific order in 8 changes, workshop B in 10 modifications. How many shifts will the job be completed if workshop A works on only the first two shifts and both workshops work on the remaining shifts? - Tank filling
We would fill the water tank with one inlet in 36 minutes and the other in 45 minutes. How long will it take to fill the tank if water flows through the first inlet for 9 minutes and then both simultaneously? - Distance of the parallels
Find the distance of the parallels, which equations are: x = 3-4t, y = 2 + t and x = -4t, y = 1 + t (instructions: select a point on one line and find its distance from the other line) - Prize distribution
We have to distribute 1200 euros to the five successful Olympic solvers so that the second and each subsequent one gets 50 euros less than the previous one. How many euros did each get? - Paper money
Four friends received money for collecting paper as follows: Miro received a quarter of the total amount, Rob received a third of the rest of the money, and Boris received half of the money left by Miro and Rob. Peter has 16 euros left. How many euros did - Rectangle
The length of the rectangle is 12 cm greater than three times its width. What dimensions and area does this rectangle have if its circumference is 104 cm? - Triangle angles
In triangle ABC, the interior angle at vertex B is 10 degrees greater than the angle at vertex A, and the angle at vertex C is three times greater than the angle at vertex B. Calculate the magnitudes of the interior angles of the triangle. - Annual reward
The annual remuneration of the two employees was a total of EUR 18,750. The remuneration of one of them in 6 months was the same as the other in a year. How big was the annual reward for each of them? - Apple division
The three brothers had 24 apples. Everyone kept half and divided half between the two brothers. Everyone had as many apples as they had three years ago. How old were they? - Cable break
The storm broke the telephone cable connecting places A and B at 2.5 km. What is the probability that this happened at a maximum length of 450 m from location A? - Rowing adolescents
The rowing club has 90 members. Four times as many older adolescents are in the section as younger adolescents. On the other hand, 54 fewer younger adolescents are in the section than older adolescents. How many older and younger adolescents are there? - Fifteen
Fifteen students had an average age of 12 years. When the class teacher came to see them, their average increased by exactly one year. How old was the teacher? - Brief probability
I have three colors of briefs. White, black, and red. What is the probability that I will choose white briefs? - Graders count
Seventh-, eighth-, and ninth-graders were sitting in the cinema hall, 250 pupils in total. There were 30 more seventh-graders than eighth-graders, and 10 fewer eighth-graders than ninth-graders. Determine how many pupils of each grade there were. - Molding distribution
There are 2,600 moldings in stock. They are to be divided into 3 workshops so that in hall 1, there are 400 moldings less than in hall 2, and in hall 2, there are 300 moldings more than in the third hall. How many moldings are delivered to individual hall - Apples in baskets
We have eight baskets. The first basket contains four apples, and the next basket contains 29 more apples than the previous one. Find the number of apples in each basket. - Pears
Andrew, Helen, and Ralph have 232 pears in total. Helen has 28 more than Ralph, and Ralph has 96 more than Andrew. Determine how many pears each of them has. - Students
Three students sit in the front row, and 11 students sit in every other row, more than in the previous row. Determine how many students are in the room when the room is nine lines and how many students are in the seventh row. - Harvesters
The first harvester reaps the grain from the land for 24 hours, and the second harvester for 16 hours. How many hours will it take to harvest by two harvesters, but the second harvester started working four hours later than the first?
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