Examples for secondary school students - page 36 of 212
Number of problems found: 4239
- Five-a-side 69434
Five children took part in the five-a-side tournament: Anka, Betka, Celeste, Dano, and Erik. Everyone played with everyone. How many games have been played? - Polynomial roots
Find the other zeroes of the polynomial 2x4+3x³-3x²-6x-2, if two of them are root2 & -root2 - Probability 43581
What is the probability that the sum of 12 will fall on a roll of two dice? A. 1/6 B. 1/36 C. 1/18 D. 36 - Chocolates 38751
Jane wants to buy six chocolates in the store. The store offers only three species of chocolates. How many options does she have? - Different 38123
How many ways can we put seven different books on the shelf? - 6-digit 35541
How many 6-digit numbers can be created from the number 1,2,3,4,5,6 if we must not repeat the numbers? - Remainder 34441
Find the remainder after division when we divide the sum of 1! +2! +3! +. ... . +300! number 13. - Numbers 24281
Of the four numbers, the second is five larger than the first, the third two smaller than the first, and the fourth is twice larger than the first. Find these numbers if their sum is 38. - Percentage 23501
In 7A class, the number of boys to girls is a ratio of 2:3. What percentage in the class are girls? - Probability 22033
There are 30 broken-down packages with 2,000 light bulbs. What is the probability that a randomly selected light bulb is defective? - Elimination: 10441
Solve the linear system of equations by Gaussian elimination: 3x1 −2x2 −5x3 + x4 = 3 2x1 −3x2 + x3 + 5x4 = −3 x1 + 2x2 −4x4 = −3 x1 - x2 −4x3 + 9x4 = 22 - Circumference 8142
Divide a rectangle with sides 60 mm and 84 mm long into three rectangles with the same circumference. - Children 8088
There are men, women, and children in society. There are 3 times more men than women and 5 more children than women. If 6 more men and 6 women came, men would be half the company. How many women, men, and children are there? - Players 6897
There are 103 players. Team A has three players less than B, team C has two more than D, and team D has the same number as B. How many players does each team have? - Distribution 6399
For the statistical file: 2.3; 3.4; 1.8; 3.2; 3.2; 1.9; 3.3; 4.5; 4.3; 5.0; 4.8; 4.3; 4.3; 1.9 Determine the sample variance and the median, and from the empirical distribution function, determine P (2.1 - Calculate 5539
Calculate the quotient of the geometric sequence if the sum of the first two terms equals 1.1, and a6 = 10000. A quotient is a natural number. - Two-digit 5457
From how many digits can we create twenty-two-digit numbers in which the digits do not repeat? - Compressive 4894
At what depths does a hydrostatic compressive force of 3 kN act at a depth of 30 m in water? - Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4 - Consecutive 4122
The sum of four consecutive natural numbers is 90. Determine these numbers.
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