Examples for secondary school students - page 211 of 214
Number of problems found: 4269
- The cyclist
The cyclist went from village to town. The first half of the journey went at 20 km/h. The second half of the journey, which mostly fell, went at 39 km/h. All journeys took 88 minutes. Calculate the distance from the village to the town. - Circle and angle
What is the length of the arc of a circle with radius r = 207 mm with central angle 5.33 rad? - Roller
The cylinder shell has the same area as one of its bases. The cylinder height is 23 dm. What is the radius of the base of the cylinder? - Geometric progression 2
There is 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 4. What is the area of the surface of the cylinder? - Similarity n-gon
9-gones ABCDEFGHI and A'B'C'D'E'F'G'H'I' are similar. The area of 9-gon ABCDEFGHI is S1=190 dm², and the diagonal length GD is 32 dm. Calculate the area of the 9-gon A'B'C'D'E'F'G'H'I' if G'D' = 13 dm. - Rectangle - sides ratio
Calculate the area of a rectangle whose sides are in ratio 9:14 and perimeter is 388. - 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 11 hours. The second tractor plows the whole field 19 hours longer. 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 four characters.
- Examination
The class is 25 students. How many ways can we choose 5 students for examination? - Teams
How many ways can we divide 16 players into two teams of 8 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.
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