Examples for secondary school students - page 197 of 214
Number of problems found: 4271
- Ace
We pulled out one card from complete sets of playing cards (32 cards). What is the probability of pulling the ace? - MATES
In MATES (Small Television tipping), from 35 random numbers are drawn five winning numbers. How many possible combinations are there? - Cards
How many ways can you give away 32 playing cards to 7 player? - Cinema
How many ways can 11 free tickets to the premiere of "Jáchyme throw it in the machine" be divided between 6 pensioners?
- Maple
The maple peak is visible from a distance of 3 m from the trunk from a height of 1.8 m at an angle of 62°. Find the height of the maple. - Plastic pipe
Calculate the plastic pipe's weight with diameter d = 100 mm and length 330 cm if the wall thickness is 4 mm and the density of plastic is 1346 kg/m³. - Built-up area
John build-up area 5 x 7 = 35 m² with building with a wall thickness 30 cm. How many centimeters would he have to subtract from the thickness of the walls that the built-up area fell by 9%? - Tower
How many m² of the copper plate should be replaced on the roof of the conical tower shape with a diameter 23 m, and the angle at the axial section's vertex is 119°? - N-gon II
What is the side length of the regular 9-gon circumscribed circle of radius 13 cm?
- n-gon
What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm? - Cone
Calculate the volume and surface area of the cone with a diameter of the base d=15 cm and the side of the cone with the base has angle 52°. - Block
Calculate the volume of a cuboid ABCDEFGH if |AB| = 7 cm, |BC| = 8 cm and the angle ∠CDG = 30.1° - Peak
Uphill leads 2 paths and one lift. a) How many options back and forth are there? b) How many options to get there and back by the not same path are there? c) How many options back and forth are there that we go at least once a lift? - Similarity
Rectangle ABCD has dimensions of 7 cm and 6 cm. Rectangle PQRS has dimensions 14 cm and 12 cm. Determine the coefficient of the similarity k of the rectangles; if they aren't similar, enter zero as the coefficient of similarity.
- Machine
The price of the new machine is € 65000. Every year is depreciated 12% of residual value. What will be the value of the machine after 2 years? - Balls
Michal said to Martin: give me one ball, and I'll have twice as you. Martin said: give me 4, and we will have equally. How many balls does each have? - Committees
How many different committees of 2 people can be formed from a class of 21 students? - Cars plates
How many different license plates can a country have since they use 3 letters followed by 3 digits? - Lock
A combination lock will open when the right choice of 3 numbers (from 1 to 16 inclusive) is selected. A. How many different lock combinations are possible? B. Is the combination lock named appropriately?
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