Examples for secondary school students - page 126 of 232
Number of problems found: 4622
- Employees
1116 people are working in three factory halls. In the first one, 18% more than the third, and 60 persons more than the second. How many employees work in individual halls? - Tourist daily distance
The tourist covered 47 km in three days. The first day ran 20 percent more than the second day, and the third day was 4 km less than the second day. How many km has he traveled each day? - Circus
At the circus performance, there were 150 people. Men were ten less than women and children 50 more than adults. How many children were in the circus? - Isosceles Trapezoid Arm Length
Diagonal alpha equals 0.4 m, and diagonal beta equals 0.4 m in the isosceles trapezoid. Side AB is 120 cm, and side DC is 7.6 dm. Find the length of arms in an isosceles trapezoid. Please result round to 2 decimal places. - Repairing
Three employees earned a total of € 469 for repairing the equipment. They split the money so that the first got 20% more than the second and the third 15% more than the second. Thus, everyone got a total of € 469. - Math test
Obelix filled out a mathematical test in which he answered 25 questions. For every correct answer, he received 5 points. For each wrong answer, he had 3 points deducted. Obelix gained 36% of all points in the test. How many questions did he solve correctl - The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor; no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in - Paper money distribution
The four friends received money for collecting paper as follows: Mirko received a quarter of the entire amount, Robo received a third of the remaining money, and Boris received half of the second remaining money. Peter had 1.50 euros left. How many crowns - Three Day Hike Distances
Pupils walked a total of 30 km during the three-day trip. On the first day, they ran twice as much as on the third day, and on the second day, they ran 6 km more than on the third day. How many km have they traveled each day? - Final exam
There are five learners in a class that has written a final exam. Aleta scored 55%, Vera scored 36%, and Sibusiso scored 88%. If Thoko scored 71% and the class average was 63%. What was Davids's score as a percentage? - Clogging
How much distilled water must the pharmacist add to 30g of a 30% hydrogen peroxide solution to obtain a 3% solution for clogging? - Diamond diagonals
Find the diamond diagonal's lengths if the area is 156 cm² and the side is 13 cm long. - Matrix determinant change
We have a matrix of order n ≥ 3. If we add the last column to each column (including the last), how does its determinant change? - Light bulb resistance
The resistance of a 40W light bulb is 10 Ohms. What voltage source is connected to it? What current is flowing through it? - Wage variance deviation
A statistician monitored the variance of monthly wages and found its value to be 640,000. Determine the standard deviation of salaries if there is a one-off increase: a) about CZK 1,800, b) about 5%. - Three friends
Cuba, Matthew, and their friend Adam found a brigade during their weekend weekends because they wanted to make a joint trip to the Alps that they planned for spring break. Cuba enjoyed the skiing trip very much, so he was not lazy to get up and went to th - Vinegar mixing
When we mix 70g water with 50g 8% vinegar, how many percent of the vinegar solution do we produce? - Aircraft Carrier Acceleration
The runway of the aircraft on the mother ship is 49m long. Calculate the aircraft's acceleration so that its speed when leaving the ejection device reaches 252km/h. - Two trains
Through the bridge, long l = 240m, the train passes through the constant speed at time t1 = 21s. A train running along the traffic lights at the edge of the bridge passes the same speed at t2 = 9s. a) What speed v did the train go? b) How long did a train - Number machine modifications
The Numerometer has invented as the number machine that changes numbers until it makes them single-digit numbers. He still makes the change according to the same rule. For example: from the number 87312, after six modifications, he gradually made the numb
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