Examples for secondary school students - page 203 of 223
Number of problems found: 4443
- Statistics
The sum of all deviations from the arithmetic mean of the numerical sequence 4, 6, 51, 77, 90, 93, 95, 109, 113, 117 is:
- Map - climb
On the map of the High Tatras, on a scale of 1:11000, are cable car stations in the Tatranska Lomnica and the Skalnate Pleso with a distance of 354.6 mm. The altitude of these stations is 949 m and 1760 m. What is the average angle of climb on this cable
- Swimming pool
The pool shape of a cuboid is 299 m³, full of water. Determine the dimensions of its bottom if the water depth is 282 cm, and one bottom dimension is 4.7 m greater than the second.
- Circumferential angle
Vertices of the triangle ΔABC lay on the circle and are divided into arcs in the ratio 10:8:7. Determine the size of the angles of the triangle ΔABC.
- University bubble
You'll notice that the college is up slowly every other high school. Many people in Slovakia/Czech Republic study political science, mass media communication, social work, and many management MBAs. Calculate how many times more earns clever 25-year-old ma
- Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c)
- Circles
How many different circles are determined by 11 points at the plane if 7 of them lie in a straight line?
- Balls
Three metal balls with volumes V1=12 cm3, V2=112 cm3, and V3=59 cm³ were melted into one ball. Determine its surface area.
- Euklid4
The legs of a right triangle have dimensions 241 m and 34 m. Calculate the length of the hypotenuse and the height of this right triangle.
- Population
The town has 159,000 inhabitants. 25 years ago, there were 158,000. If the population's average rate is the same as in previous years, how many people will live in a city in 10 years?
- Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents.
- Log
Calculate the value of expression log |-10 -2i +7i²| .
- Unit vector 2D
Find coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
- 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 11 kHz if the sound travels at speeds of 343 m/s.
- Circle chord
Determine the circle's radius in which the chord 6 cm away from the center is 12 cm longer than the circle's radius.
- Skier
At this point, the first skier leads 20 km before the second skier and travels at a constant speed of 19 km/h. The second skier rides at 24 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?
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