Examples for secondary school students - page 235 of 237

Number of problems found: 4731

Tournament
Determine how many ways can be chosen štyria representatives from 32 students to school tournament.
Guests
How many ways can 8 guests sit down on 10 seats standing in a row?
Tangents
From point R, two tangents are drawn to a circle with a radius of 41 cm. The distance between the two points of tangency is 16 cm. Calculate the distance from point R to the centre of the circle.
Elections
In elections, candidates 8 political parties. Calculate how many possible ways the elections can finish if two parties do not get the same number of votes.
Confectionery
The village markets have 7 kinds of sweets. One weighs 37 grams. How many different ways can a customer buy 2.257 kg sweets?
Chords
How many 5-tónových chords (chord = at the same time sounding different tones) is possible to play within 10 tones?
2nd class combinations
From how many elements can you create 2346 combinations of the second class?
2nd class variations
From how many elements can you create 5112 variations of the second class?
Football league
In the 5. football league is 10 teams. How many ways can be filled first, second, and third place?
Big factorial
How many zeros end number 324!?
Geometric progression
Fill 3 numbers between 5 and 405 to form a geometric progression.
3y inflation
The price of the cookie rise in the first year by 2%, the second year fell by 6%, and in the third year increased by 17%. Calculate the average annual increase in the price of the cookie.
Inflation
Once upon a time, a ruler had a printing press and printed money endlessly. As a result, prices rose by 2.7% in the first year, 2.1% in the second, 3.6% in the third, and 5.4% in the fourth. The ruler then lost an election. Calculate the average annual in
Triangle ABC
Right triangle ABC with right angle at the C, |BC|=19, |AB|=26. Calculate the height of the triangle h_AB to the side AB.
Two doctors
Doctor A makes the correct diagnosis with a probability of 89% and Doctor B with a probability of 75%. Calculate the probability of a correct diagnosis if both doctors examine the patient independently.
Computer revolution
When we started playing with computers, the first processor, which I remember was the Intel 8080 from 1974, with the performance of 0.5 MIPS. Calculate how much percent of a year rose CPU performance when Intel 486DX from 1992 has 54 MIPS. What would
Logarithmic equation
Solve equation: log₁₃(7x + 12) = 0
Chess
How many ways can you select 4 fields on a classic chessboard with 64 fields so that fields don't have the same color?
Road
Between cities A and B there is a route 9 km long with an average gradient of 9‰ klesanie. Calculate the height difference between cities A and B.
Angles in triangle
In a triangle, the ratio of angles β to γ is 6:8. Angle α is 40° greater than β. What are the sizes of the angles of the triangle?

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