Examples for secondary school students - page 34 of 237
Number of problems found: 4730
- Grandmother grandson age
The grandmother is 4 times as old than the grandson. In 7 years, it will be only 3 times. How old is grandma? - Horse carriage
Hlušice and Jarošov are 10 km apart. A horse-drawn carriage leaves Hlušice for Jarošov at a speed of 5 km/h, and at the same time a traveller leaves Jarošov for Hlušice at a speed of 3 km/h. At the moment the carriage departs, a fly starts from the horse' - Dice coin probability
We roll the dice and then toss the coin as many times as the number that came up on the dice. What is the probability that the coin lands head at least once? - Written test
A written test was taken by 35 students, the test contained 3 tasks, 2 students solved only one task, and three students only two tasks. Task no. 1 and task no. 2 were solved by 16 students, and tasks 2 and 3 by 14 students. All tasks were solved by 10 st - From city 2
A passenger train left city A for city B in the morning. At the same time, a freight train left city B for city A along the same track. Both trains travelled the entire route at constant speeds. They passed each other on the track at 9:45 a.m. The passeng - Bus speed distance
A bus travels between places A and B. If it increases its average speed by 5 km/h, the travel time will be reduced by 20 minutes. If he reduces his original speed by 4 km/h, the driving time is increased by 20 minutes. What is the average speed of the bus - Number factor product
The product of two numbers we know. If we increase the first factor by 2 and decrease the second factor by two, the product increases by 4. How much does the product change if we decrease the first factor by 3 and increase the second factor by 3? - Adam Fero money
Adam had 3 times more than Frank. Gabo is 11 less than Frank. They had a total of 59 euros. How much did each have? - Pipe repair days
They spent three days repairing the damaged pipe, 115 m long. On the first day, they repaired a quarter of what they did on the second day, and on the third day, they repaired 20 m less than on the second day. How many m of pipe did they repair on the fir - Number percentage ratio The first number is 50% of the second, the second number is 40% of the third, and the third number is 20% of the fourth. The sum of the numbers is 396. Which numbers are these??
- Distance of the jetty
Three friends are sitting on a jetty which is exactly in the middle of a flowing river. The first friend sets off against the current of the river at a speed of 0.4 m/s, the second friend sets off along the current of the river at a speed of 0.2 m/s, the - Advertising on television
A television station claims about its broadcasting schedule that advertising takes up 76 minutes of broadcasting during the whole day and is broadcast at random intervals. a) what is the probability that if you turn the television to this station, it will - Preventive examination
2.8% of the population suffers from disease XY. A preventive examination identifies 5.1% of healthy individuals as sick, and 91.4% of those examined who are actually sick are also identified as sick. What percentage of examined individuals is identified a - Biathlete shooting probability
According to long-term statistics, a biathlete has a shooting success rate of 72%. a) what is the probability that 4 targets will be hit on one item (5 shots). b) what is the probability that fewer than 4 targets are hit on one item (5 shots)? - Average of average Three different numbers are given. The average of the average of two smaller numbers and the average of the two larger numbers is equal to the average of all three numbers. The average of the smallest and largest number is 2022. Determine the sum of the t
- Confidence interval
When checking the use-by date of a specific type of canned meat in warehouses of meat industry products, 340 canned goods were randomly selected, and it was found that 63 of them had passed their warranty period. Establish a 95% confidence interval to est - Train 2
A metro train moved between neighbouring stations as follows: it gradually accelerated and reached a speed of 70 km/h in 10 seconds. It then travelled at this speed for 35 seconds. Finally, it decelerated for 15 seconds until it stopped. Draw the speed-ti - EQ2 - symetric results
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2). - Combination element decrease If the number of elements decreases by 4, the number of combinations of the second class from these elements decreases three times. How many elements are there?
- Car braking acceleration
The car stopped at an initial speed of 90 km/h on a track of 62.5 m. What was its acceleration, and how long did it take to brake the car?
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