Examples for secondary school students - page 181 of 230
Number of problems found: 4597
- Metals
Play eight teams in the Hockey World Cup and determine how many ways they can win gold, silver, and bronze medals. - Hexagonal pyramid
Calculate the volume and the surface of a regular hexagonal pyramid with a base edge length of 3 cm and a height of 5 cm. - Raspberries 3034
Find how many raspberries are in the third and tenth baskets, if there are three raspberries in the first and eight raspberries more in each. - Determine 3033
Andrej, Michal, Patrik, and Juraj together weigh 128 kg. Their weights are in the ratio 1:6:7:2. Determine what weight each of them has. - Numbers 3032
Find three numbers so that the second number is three times larger than the first and the third is six larger than the second number. Their sum is 62 - Inscribed circle
XYZ is a right triangle with a right angle at the vertex X and an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm. - Prize How many ways can 9 participants be rewarded with the first, second, and third prizes in a sports competition?
- 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 a cone
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 - pupils
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?
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