Examples for secondary school students - page 32 of 231

Number of problems found: 4612

Exam question probability
During the exam, the student takes 3 questions out of 30. He is ready for 20 of them. Find the probability that he draws at most 2 that he knows.
Exam question probability
During the exam, the student answers 4 questions out of 25. He is ready for 20 of them. Find the probability that he draws exactly one that he does not know.
Phenomenon trial probability
The probability of occurrence of a certain phenomenon is the same in all trials and is equal to 0.7. Attempts are repeated until this phenomenon occurs. What is the probability that we will have to make a fifth trial?
Probability - coin toss
A coin is tossed 24 times. Find the probability of getting 16 heads. (The probability of getting a head is 0.5)
Rail temperature expansion
How does the rail lengthen when the temperature changes from -30°C to 30°C if it is 25 m long at 0°C? The temperature coefficient of longitudinal expansion is 12.10na-6Kna-1.
Tatra sand transport
Three Tatras transported 22.2 tons of sand. The second Tatra transported 20% more than the first, and the third Tatra 25% more than the second. How much did each Tatra take?
Drug effectiveness probability
According to clinical studies, the effectiveness of the drug is 90%. The doctor prescribed the medicine to eight patients. What is the probability that the drug will be effective in all these patients?
Seed germination probability
The manufacturer indicates that the germination rate of the pepper seeds is 68%. What is the probability that a) out of ten seeds sown, at least 8 will germinate? b) will at most 3 sprouts out of ten seeds be sown?
Trapezoid roof
The house's roof is a trapezoid of the same name, with 85 tiles at the ridge and 100 tiles at the bottom. There is always one more tiles in each row than the previous one. How many tiles do I need for the entire roof?
Triangle arithmetic sides
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides.
Tablet laptop price
The school bought 20 tablets and 15 laptops for the students for a total of exactly €6,000. Calculate the amount of one tablet and the price of a laptop if the tablet was €50 cheaper than the laptop.
Kerosene pressure difference
Kerosene (ρ1 = 830 kg . m-3) flows through the pipe. Calculate the pressure difference in the given sections when the mercury level difference (ρ2 = 13600 kg . m-3) in the mercury differential manometer is h = 2.2 dm.
Water pressure depth
Calculate the depth of water at which the hydrostatic pressure is equal to 100870 N/m². We only consider hydrostatic pressure.
Grandmother grandson age
The grandmother is 4 times older 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 traveler leaves Jarošov for Hlušice at a speed of 3 km/h. At the moment the carriage leaves, a fly starts from the horse's
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?
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 traveled 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 Fero. Gabo is 11 less than Fero. They had a total of 59 euros. How much did each have?

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