Examples for secondary school students - page 219 of 222
Number of problems found: 4435
- Compound interest
Calculate the time when the deposit in the bank with interest 2.6% p.a. doubles.
- Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
- Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm.
- Bulbs
The probability that the bulb can operate 4000 hours is 0.3. What is the probability that exactly one of the eight bulbs can operate 4000 hours?
- Geometric mean
Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.
- Golden ratio
Divide the line of length 871 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line.
- Wind drift
The plane flies at 900 km/h, passing distance 1800 kilometers with the wind and once again against the wind for 4 h 1 min. What is the wind speed?
- The cyclist
The cyclist went from village to town. The first half of the journey went at 24 km/h. The second half of the journey, which mostly fell, went at 38 km/h. All journeys took 94 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 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 9:14 and the 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 20 hours. The second tractor plows the whole field 4 hours kratšie. 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?
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