Examples for secondary school students - page 73 of 212
Number of problems found: 4231
- Identical 71234
How many ways can you divide two identical apples and: a) 3, b) 4, c) 5 identical pears between Janka and Mařenka? - Individual 70944
The merchant ordered 62 boxes of cucumbers from a vegetable grower. He wants to take 38 more boxes than small ones. How many individual boxes of cucumbers did the merchant order? - Probability 68594
What is the probability that any two-digit number a) is divisible by five b) is it not divisible by five? - Three-digit 67834
The number 0,3,7,4 are given. How many three-digit numbers are there: a) if the numbers can be repeated b) if the numbers cannot be repeated c) how many even three-digit numbers if the numbers can be repeated d) how many odd three-digit numbers if the num - Circumscribed 63824
In a regular decagon, the diameter of the circumscribed circle measures 10 cm. Determine the radius of the circle inscribed in this triangle. - Highest 62464
The iron pipes are placed in 10 rows, one above the other so that in the highest upper row, there are 15 pipes, and in each other, there is one tube more. How many pipes are there? - Acceleration 61824
On a sphere weighing 100 g, which lies on a horizontal plate, a force acts in the horizontal direction, which gives it an acceleration of 20 cm. s ^ -2. Find the magnitude of the force. - Tournament 61544
In an amateur chess tournament, everyone plays with everyone. There are a total of 171 chess games on the program. How many players take part in the match? - Different 57811
How many different 6-member teams can be made up of seven boys and four girls if there are two or four girls in the team? - Atmospheric 54401
An open manometer is connected to the gas tank, in which the difference in water levels in both arms is 54.5 cm. Atmospheric pressure is 105 Pa. Calculate the gas pressure. - Molecules 45441
The mean square velocity of the gas molecules is 1200 m/s. What pressure does this gas exert on the vessel wall when its density is 0.03 kg/m³? - One-humped 39761
There are one-humped and two-humped camels in the caravan going through the desert. The guide counted 28 heads and 45 humps. How many humpback camels are in the caravan? - Calculate 35223
In the ABC triangle, the angles alpha, beta, and gamma are in ratio 0.4: 0.2: 0.9. Calculate their size. - Other's 31461
There are 13 guests at each other's party. How many clicks will you hear? - Caramels 24131
Anička and Jana shared 21 caramels, while Jana had 40% of what Anička received. How many caramels did she get? - Employees 22433
The company has 250 employees. There are 30 more men than women. How many men work in the company, and how many women? - Straight 21243
The straight railway line has a gradient of 16 permille. What is the size of the pitch angle? - Four-member 20013
Determine how many ways it is possible to form a four-member team from 6 men and four women, where there are exactly two men. - Beginning 16773
In the beginning, there are two boys and x girls. Then another three children will come to the class. In the end, there are three times fewer boys than girls. How many girls and boys are in the class - Participants 8335
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? The prize for 15 participants in the competition?
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