Examples for secondary school students - page 227 of 230

Number of problems found: 4585

Geometric progression 2
There is a geometric sequence with a₁=3.6 and quotient q=-2.1. Calculate a₁₇.
Cylinder - A&V
The cylinder has a volume of 463. The base has a radius of 4. What is the area of the cylinder's surface?
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 64-bit binary word.
Rectangle Anton
The difference between the length and width of the rectangle is 3. Length is 2-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): 2^3x-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 štyria representatives from 32 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 8 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?

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