Examples for secondary school students - page 213 of 230
Number of problems found: 4586
- 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 14 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 8 cm. Rectangle PQRS has dimensions 7 cm and 6 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? - 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 2 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? - Commitee
A class consists of 12 males and 15 females. How many committees of 6 are possible if the committee must consist of 4 males and 2 females? - Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there? - Words
How many 2 letters "words" are possible using 14 letters of the alphabet? a) without repetition b) with repetition - Shelf
How many ways are there to arrange 6 books on a shelf? - Area codes
How many 6 digit area codes are possible if the first number can't be zero? - Kids
How many different ways can sit 6 boys and 3 girls in line if girls want to sit on the edge? - Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm. - Geometric sequence 3
In geometric sequence is a4 = 40; a9= 1280; sn=2555. Calculate the first item a1, quotient q, and n - number of members by their sum s_n. - Tank
In the middle of a cylindrical tank with a bottom diameter of 479 cm, there is a standing rod 34 cm above the water surface. If we bank the rod, its end reaches the water's surface just by the tank wall. How deep is the tank?
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