Examples for secondary school students - page 205 of 222
Number of problems found: 4435
- Sum of series
Determine the 6-th member and the sum of a geometric series: 5-4/1+16/5-64/25+256/125-1024/625+.... - Boat
A force of 300 kg (3000 N) is required to pull a boat up a ramp inclined at 14° with horizontal. How much does the boat weigh? - Dices
We will throw two dice. What is the probability that the ratio between numbers on the first and second dice will be 1:2? - Ace
We pulled out one card from a complete set of playing cards (32 cards). What is the probability of pulling the ace?
- MATES
In MATES (Small Television tipping), from 35 random numbers, five winning numbers are drawn. 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 7 m from the trunk from a height of 1.8 m at an angle of 46°. 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 4.3 x 6.3 = 27.09 m² with building with a wall thickness 25 cm. How many centimeters would he have to subtract from the thickness of the walls that the built-up area fell by 5%? - 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=16 cm and the side of the cone with the base has angle 37°12'.
- 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. The 12% of residual value is depreciated every year. What will the value of the machine be after 2 years? - Balls
Michal told Martin: give me one ball, and I'll have twice as you. Martin said: Give me 4, and we will have equality. How many balls does each have?
How many different committees of 2 people can be formed from a class of 21 students?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
