Examples for secondary school students - page 134 of 237
Number of problems found: 4730
- For the treatment
For the treatment of seedlings in a forest nursery there are available 4 types of preparations P1, P2, P3, P4, each of which contains 3 active substances L1, L2, L3. Their amounts are given by the table (number of units/kg). It is necessary to mix 20 kg o - Balls Count Three Boys
Philip had two more balls than Jarda, and Milos had twice as many as Philip. They had a total of 33 balls. How much did everyone have? - Hydraulic system force
The hydraulic system has: S1 = 0.02 m² S2 = 2 m² F1 =? F2 = 40000 N What force must we exert to get a force of 40,000 N? - The mast
We see the top of the pole at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole? - Dwarf heights
Mr. Ticháček had three gypsum dwarfs in the garden: the largest was called Maško, the middle Jarko, and the smallest Franko. Since he liked to play with them, he discovered that when he put Fan on Jerry, they were as tall as Maško. On the other hand, when - Three points
Three points: A (-3;-5), B (9;-10), and C (2;k). AB=AC What is the value of k? - On line
On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0]. - Center of line segment
Calculate the distance of point X [1,3] from the center of the line segment x = 2-6t, y = 1-4t; t is from interval <0,1>. - Left handed
It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar with 30 participants? - Natural number product
The product of two natural numbers is 323, and their difference is 2. Determine the numbers. - Axial symmetry
Find the image A' of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are a real number) - Indirect ratio calculation
For the indirect ratio, g (20) = 3, determine g (6) - Sports Probability Problem
82% of football players, and 26% are hockey players at school. What is the probability that: A) I'm not a hockey player B) I know both sports C) I know one sport - Wrench force calculation
We used a force of 85 N to loosen the nut when using a 20 cm long wrench. How much force do we use to loosen the nut when using a 10 cm long wrench? - Coordinates of vector
Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5) - Uniform Acceleration Initial Speed
The body went through a uniformly accelerated path of 30 m in 10 seconds while its speed increased five times. Find the initial speed and acceleration. - Runner acceleration speed
The runner ran the track 100 m in 10.2 seconds. He ran the first 20 m with a uniformly accelerated movement. Then he ran evenly. What was its acceleration on the 20 m section, and what was its maximum speed? - Component fail There is a 90 percent chance that a particular type of component will perform adequately under high-temperature conditions. If the device involved has four such components, determine the probability that the device is inoperable because precisely one of t
- Construct
Construct a triangle ABC inscribed circle with a radius r = 2 cm and an angle alpha = 50 degrees = 8 cm. Make a sketch, analysis, construction, and description. - Powers 3
2 to the power of n divided by 4 to the power of -3 equals 4. What is the value of n?
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