Examples for secondary school students - page 227 of 230
Number of problems found: 4583
- Similarity n-gon
6-gones ABCDEF and A'B'C'D'E'F' are similar. The area of 6-gon ABCDEF is S1=248 m², and the diagonal length FA is 28 m. Calculate the area of the 6-gon A'B'C'D'E'F' if F'A' = 36 m. - Rectangle - sides ratio
Calculate the area of a rectangle whose sides are in ratio 2:16 and the perimeter is 1289. - Electronics: Resistors in parallel
Concerning calculating the resistance of the parallel combination of resistors: (1)/(R) = (1)/(R1) + (1)/(R2) Calculate the R, if R1 = 17Ω a R2 = 20Ω - Tractors
Fields go plow two tractors with various performances. The first tractor plows the whole field in 14 hours. The second tractor plows the whole field 8 hours déle. How long does it take to plow the whole field with two tractors? - Bits, bytes
Calculate how many different numbers can be encoded in a 16-bit binary word. - Rectangle Anton
The difference between the length and width of the rectangle is 8. Length is 3-times larger than the width. Calculate the dimensions of the rectangle. - Radioactivity
After 548 hours decreases, the activity of a radioactive substance to 1/9 of the initial value. What is the half-life of the substance?
- Exponential equation
Solve exponential equation (in real numbers): 23x-6=9 - Morse alphabet
Calculate how many words of Morse code to create compiling dashes and dots in the words of one to piatich characters. - Examination
The class is 25 students. How many ways can we choose 5 students for examination? - Teams
How many ways can we divide 14 players into two teams of 7 members? - Tournament
Determine how many ways can be chosen two representatives from 34 students to school tournament. - Guests
How many ways can 8 guests sit down on 10 seats standing in a row? - Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle center. - Elections
In elections, candidates 10 political parties. Calculate how many possible ways the elections can finish if two parties do not get the same number of votes.
- Confectionery
The village markets have 5 kinds of sweets. One weighs 31 grams. How many different ways can a customer buy 1.519 kg sweets? - Chords
How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones? - 2nd class combinations
From how many elements can you create 2346 combinations of the second class? - 2nd class variations
From how many elements can you create 5112 variations of the second class? - Football league
In the 5. football league is 10 teams. How many ways can be filled first, second, and third place?
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