Examples for secondary school students - page 59 of 212
Number of problems found: 4231
- Distance
Calculate the distance between two points K[6; -9] and G[5; -1]. - Components
The 8 white, 4 blue, and 2 red components are in the box. What is the probability that we pull one white, one blue, and one red component without returning it? - Area of RT
Calculate the right triangle area that hypotenuse has length 14, and one hypotenuse segment has length 5. - Wire D
Wire length 1 m is bent to form a semicircle circuit (including the diameter). Determine the radius of the semicircle. - Quadratic equation
Determine the numbers b and c that the numbers x1 = -7 and x2 = 5 were roots of the quadratic equation: -3x ² + b x + c = 0 - Event probability
The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)? - Demographics
The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population? - Compound interest
Calculate the time when the deposit in the bank with interest 2.6% p.a. doubles. - RT - hypotenuse and altitude
The right triangle BTG has hypotenuse g=117 m, and the altitude to g is 54 m. How long are hypotenuse segments? - Median of odd count
The following are the weights (in kg) of seven people: 70, 62, 62, 75, 60, 65, and 78. Find the median of the weights of people. - Parametrically 82990
Calculate the sum of the x-coordinates of the intersections of the circle given by the equation (x - 1)²+ y² = 1 and the line given parametrically x = t, y = t , where t∈R. - Factors 82564
The product of two whole numbers, one of which is 19 greater than the other, equals the number 416. Find both factors. - Subsequent 82511
The theater has 20 rows of seats on the ground floor. There are 16 seats in the first row, and each subsequent row has two more seats than the previous one. Find the number of seats on the ground floor of the theater. - Calculate 82472
Calculate the interior angles of the triangle. The angle alpha is 16° greater than beta, and the angle gamma is 17° less than alpha. - Closest 82051
On the line p: 2x + y + 1 = 0, find the point A ∈ p that is closest to the point P =(1,0) - Determine 81988
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120 - Probability 81685
There are 49 products in the box, of which only 6 are good. We will randomly draw 6 products from them. What is the probability that at least four of the products drawn are good? - Together 81384
Soňa and Elvíra have 20 CZK together, Elvira and Filoména have 15 CZK together, and Sonia and Filoména have 19 CZK together. How many CZK does Soňa have, how much Elvira, and how much Filomena? - Grandmother 80795
The grandmother is 4 times older than the grandson. In 7 years, it will be only 3 times. How old is grandma? - Solutions 70424
To what extent do we need to mix 82% and 54% solutions to get a 76% solution?
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