Examples for secondary school students - page 181 of 230
Number of problems found: 4586
- Octahedron
All walls of the regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron. - Calculate 3019
The height is 5 cm, and the size of the angle that the side of the cone with the base makes is 63 degrees. Calculate the surface and volume of this cone. - Permutations without repetition
From how many elements can we create 720 permutations without repetition? - Cone container
The Rotary cone-shaped container has a volume of 1000 cubic cm and a height of 12 cm. Calculate how much metal we need to make this package. - Combinations
From how many elements can we create 990 combinations, 2nd class, without repeating? - Glass
Trader ordered from the manufacturer 200 cut glass. The manufacturer confirmed the order that the glass in boxes sent a kit containing either four or six glasses. Total sent 41 boxes. a) How many boxes will contain only four glasses? b) How many boxes wil - Average height
In a class are 34 students. The average height of the students is 165 cm. What will be the average height of students in the classroom when two pupils, tall 176 cm and 170 cm, move from this school/class? The average height in meters of all the students i - Olympics metals
How many ways can one win six athletes' medal positions in the Olympics? Metal color matters. - Store
The company has three industrial goods stores. The following data are available Store; Sales September; Sales October; Price September CZK/pcs; Price October CZK/pcs A; 1500; 1800; 39; 40 B; 700; 721; 36; 35 C; 300; 279; 34; 35 Total; 2500; 2800; X; X Det - Controller
The output Controller of the company, in the control of 50 randomly selected products, found that 37 of them had no defects, eight had only one flaw, three had two defects, and two products had three defects. Determine the standard deviation and coefficie - Prism
The base of a vertical triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism if its volume is 54 cubic centimeters? - Repetitions 2956
How many elements do we have if the variation of the third class without repetitions is ten times more than the variation of the second class? - Probability 2955
There are 18 girls and 13 boys in the class. Four pupils will be chosen by lot to supervise the breaks. What is the probability that it will be the boys themselves? - Determine 2938
Determine the first 11 members of the sequence if a12 = 676, d = 29. - Determine 2937
Determine the first 14 members of the sequence if a15 = 225, d = -12 - Trapezium ABCD
The figure shows ABDC is a trapezium in which AB || CD. Line segments RN and LM are drawn parallel to AB such that AJ=JK=KP. If AB=0.5m and AP=BQ=1.8m, find the lengths of AC, BD, RN, and LM. angle D=angle C=60 - Numbers at ratio
The two numbers are in a ratio of 3:2. If we each increase by five would be at a ratio of 4:3. What is the sum of the original numbers? - Hexagon = 8 parts
Divide the regular hexagon into eight equal parts. - Triangle KLB
It is given an equilateral triangle ABC. From point L, the midpoint of the side BC of the triangle, it is drawn perpendicular to the side AB. The intersection of the perpendicular and the side AB is point K. How many percent of the area of the triangle AB - Car consumption
When driving in the city, the car has an average consumption of k liters of gasoline per 100 km, but when driving on the highway, it consumes an average of 20% liters less. Express the consumption of a car if it travels 25 km in the city and 75 km on the
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