Examples for secondary school students - page 110 of 213
Number of problems found: 4256
- Vinegar mixing
We mix 70g water and 50g 8% vinegar. How many percents of the solution of vinegar do we produce? - Acceleration 7487
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 - Modifications 7479
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
- Temperature 7477
The pool with a length of l = 50 m and a width of s = 15 m has a depth of h1 = 1.2 m at the shallowest part of the wall. The depth then gradually increases to a depth of h2 = 1.5 m in the middle of the pool. = 4.5 m walls in the deepest part of the pool. - Substitution method
Solve a goniometric equation: sin4 θ - 1/cos² θ=cos² θ - 2 - Families 2
Seven hundred twenty-nine families have six children each. The probability of a girl is 1/3, and the likelihood of a boy is 2/3. Find the number of families having two girls and four boys. - Participated 7448
In the survey, 2/3 of those who correctly answered the question were women. 4/5 of all respondents answered the question correctly. How many women answered correctly if a total of 900 respondents participated in the survey? What proportion of all responde - Shopping vegetables
John and his mother were shopping. My mother bought 2 kg of peaches and 5 kg of potatoes and paid CZK 173. The neighbor bought 3 kg of peaches and 4 kg of potatoes and paid CZK 186. How much did 1 kg of peaches and 1 kg of potatoes cost?
- Probability 7432
In the department store, they have 100 televisions, of which 85 are of first quality, and 15 are of second quality. The first ten buyers received a premium TV. What is the probability that the eleventh is sold a second-rate TV? - Tractors
Wheel and belt tractors each day plow 8 ha of fields. The wheel tractors would have to work to plow 76 hectares for 12 days. Eight days with the belt tractor together. How many hectares do each day of each tractor? - Water current speed.
Two cities along the river are 100 km apart. The powerboat downstream runs for 4 hours, upstream for 10 hours. Determines the river's current speed. - Diagonals of a rhombus 2
One diagonal of a rhombus is greater than the other by 4 cm. If the area of the rhombus is 96 cm2, find the side of the rhombus. - The pool
The pool contains 220 m³ of water. Workers can empty the pool either: a) 10 hours of pipe B and 8 hours of pipe A, or b) 10 hours of pipe A and 7 hours of pipe B. How many cubic meters of water will flow in 1 hour from pipe A, and how many from pipe B?
- Diagonals of the rhombus
How long are the diagonals e, and f in the diamond if its side is 5 cm long and its area is 20 cm²? - Solve 3
Solve a quadratic equation: (6n+1) (4n-1) = 3n² - Secondary 7394
P girls and four times as many boys applied to a certain school. After the entrance exams, a quarter of the girls and half of the boys got into secondary school. How many students were accepted into the 1st year of this high school? - Differing 7391
The product of two numbers differing by four does not change when we decrease the larger number by two and increase the smaller number by one. What are the numbers? - Elevation angles
Two endpoints distant 240 m are inclined at an angle of 18°15'. The top of the mountain can be seen at elevation angles of 43° and 51° from its. How high is the mountain?
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