Examples for secondary school students - page 173 of 237

Number of problems found: 4731

Third member
Determine the third member of the AP if a4=93, d=7.5.
Three friends
Three friends divided the profit by 104,650 CZK so that for every 4 CZK, which got the first friend, equals five crowns for the second, and for every 9 CZK, which got the second, equals 16 CZK for the third. Question: Who got the most and how much?
Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original.
Shorts probability
Michal chose blue, white, red, orange, black, and brown shorts. What is the probability that he will select blue shorts?
Sum of members
What is the sum of the first two members of the arithmetic progression if d = -4.3 and a3 = 7.5?
Third roots
Determine the sum of the three complex third roots of the number 64 .
Calculate roots of z
Calculate the ratio of the two fifth roots of the number 32.
Complex square roots
Determine the sum of the three square roots of 343.
Exponent equation
What is the solution of the equation: 2^x = 2/64
Arithmetic progression
Determine the difference between members of AP and find the third term: 7; 3.6;...
Geometric progression
Determine the second term and the quotient GP if a3 = 48.6 a1 + a2 = 6
Number ratio
The four numbers are in a ratio of 5:7:4:6. Their difference is equal to -84. Specify these numbers.
Root sum
What is the sum of the fifth root of 243?
Exponential equation
Determine the value of having y in the expression (3^y): (4^-1)=36. Unknown y is a natural number greater than zero.
Rectangle
The perimeter of a rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width: height)
Kerosine and petrol
If 4 liters of petrol containing 15% kerosine are added to another 7 liters of petrol containing 10% kerosine, what percentage of the petrol is kerosine?
Sequence quotient
Fill in the third number of the sequence and find the quotient: 2.5, 1.25;
Coefficient
Determine the coefficient of this sequence: 7.2; 2.4; 0.8
Similarity coefficient
Determine the similarity coefficient: a) 4.8; 5.6; 8.4 b) 1.44; 1.68; 2.52
Sport probability
Out of 20 boys playing football or handball, 16 boys play football, and 9 boys play handball. Determine the percentage probability that, by randomly selecting a boy, he plays: a) football only; b) only handball c) football and handball

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