Examples for secondary school students - page 212 of 231
Number of problems found: 4612
- Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle. - Rhombus
The rhombus with area 95 has one diagonal that is longer by 7 than the second one. Calculate the length of the diagonals and rhombus sides. - Wavelength
Calculate the wavelength of the tone frequency 4 kHz if the sound travels at speeds of 343 m/s. - Circle chord
Determine the circle's radius in which the chord 15 cm away from the center is 21 cm longer than the circle's radius. - Skier
At this point, the first skier leads 10 km before the second skier and travels at a constant speed of 14 km/h. The second skier rides at 19 km/h. How long does it take him to catch up with the first? - Train and car
The train and the car started at a constant speed. When the train travels 87 km, the car travels 97 km. How many km does the train travel when the car travels 87 km? - Deposit
If you deposit 881 euros at the beginning of each year, how much money do we have at 1.6% (compound) interest after 8 years? - Trinity - triads
How many different triads can be selected from group 36 students? - Medals
How many ways can gold, silver, and bronze medals be divided among 16 contestants? - Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 5 cm and |CAB| = 41°. Calculate area of the trapezoid. - Circle arc
Calculate the circular arc area in m² where the diameter is 263 dm and the central angle is 40°. Please result round to three decimal places. - Weekly service
There are 29 pupils in the class. How many opportunities has the teacher randomly selected for two pupils to have a week-class service? - Icerink
A rectangular rink with 68.7 m and 561 dm dimensions must be covered with a layer of ice 4.2 cm thick. How many liters of water is necessary for ice formation when the ice volume is 9.7% greater than the volume of water? - Lidl calculator
We don't like to advertise unnamed retail chains. But offers a relatively high-quality scientific/technical calculator, OLYMPIA 8510S with 95 functions(features) is for 3.63 Eur. Calculate how many cents cost one feature of this calculator. We believe tha - Tubes
Iron tubes in the warehouse are stored in layers so that each tube's top layer fits into the gaps of the lower layer. How many layers are needed to deposit 100 tubes if the top layer has 9 tubes? How many tubes are in the bottom layer of tubes? - Roof
Tiles are stacked in rows on the trapezoidal-shaped roof. At the ridge are 47 tiles, and each subsequent row has one more tile than the previous row. How many tiles are covered the roof if the lowermost row has 69 tiles? - Two wine
In the ratio of 2:1, mixed wine solution cost 4.4 USD. In the ratio of 1:2, mixed wine solution costs 4.8 USD. How much does a liter of each wine cost? - Price of state
Estimate the cost of the state based on the following reasons. State price is expressed as a percentage of share in the redistribution of national GDP. Employee creates monthly value € 868 (super-gross wage). Then, tax him 35.2% employer contributions (th - Future of libraries
You know that thanks to the Internet, electronic communications, and the development of online resources, the number of traditional readers annually declines by 17%. This is the irreversible evolutionary shift from old books from libraries to immediately - Hexagon
There is a regular hexagon ABCDEF. If the area of the triangle ABC is 10, what is the area of the hexagon ABCDEF? I do not know how to solve it simply....
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