Examples for secondary school students - page 193 of 222
Number of problems found: 4435
- Trapezoid - hard example
Bases of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter. - Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Triangle midpoints
Determine coordinates of triangle ABC vertices if we know triangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC. - Balls
The urn is eight white and six black balls. We pull four random balls. What is the probability that among them will be two white?
- Angles and sides of the triangle
Triangle ABC has a circumference of 26 cm. The sides' lengths are as follows: a = 11.2 cm; b = 6.5 cm. Arrange the interior angles according to their size. - Bevel
I have a bevel in the ratio 1:6. What is the angle, and how do I calculate it? - Seamstress 2
The seamstress bought two kinds of textile in whole meters. One at 50 SKK and the second at 70 SKK per meter. How many meters were bought from these two textiles when paid 1540 SKK totally? - Geometric sequence 5
About members of the geometric sequence, we know: 3 a5:a3 = 27:25 7 a3 +5 a7 = 1 : 564 Calculate a1 (first member) and q (common ratio or q-coefficient) - Median
In the ABC triangle is given side a=10 cm and median to side a: ta= 13 cm, and angle gamma 90°. Calculate the length of the median to side b (tb).
- Goat
The meadow is a circle with a radius r = 19 m. How long must a rope tie a goat to the pin on the meadow's perimeter to allow the goat to eat half of the meadow? - Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs. - Computer
The school purchased the computer 10000. The price of a computer always depreciates the same percentage as the previous year. After four years, the value of the computer is reduced to 1300. How much percent was the declining price of the computer each yea - Circles
In the circle with a radius, 7.5 cm is constructed of two parallel chords whose lengths are 9 cm and 12 cm. Calculate the distance of these chords (if there are two possible solutions, write both). - Nuts
How many must we have at least nuts if we can equally divide it among 10 children, 12 children, or 15 children and any nuts left?
- Chambers
The decision-making committee consists of three people. For the commission's decision to be valid, at least two members must vote similarly. It is not possible not to vote in the commission. Everyone only votes yes or no. We assume that the first two memb - Class - boys and girls
In the class are 60% boys and 40% girls. Long hair has 10% boys and 80% girls. a) What is the probability that a randomly chosen person has long hair? b) The selected person has long hair. What is the probability that it is a girl? - Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17. - Interesting property
Plot a rectangular shape has the interesting property that circumference in meters and the area in square meters are the same numbers. What are the dimensions of the rectangle? - Cylinder diameter
The surface of the cylinder is 112 cm². The cylinder height is 5 cm. What is the diameter of this cylinder?
Magda and Tereza go to pick mushrooms. Found 70 mushrooms. Magda found that between fungi, 5/9 bedel was found. Tereza discovered that she found 2/17 champignons among fungi. How many mushrooms were found, Magda?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
