Examples for secondary school students - page 115 of 230
Number of problems found: 4597
- Three-walled 8272
I have only entered the height of a regular three-walled pyramid h = 10 cm. How do I calculate its edge length? - Former price
The price of an article is cut by 10% to restore it to its former value. By what percent the new price must be increased? - Percent change
The length of a rectangle is increased by 25%, and the width is decreased by 10%. By what percent is the area of the rectangle larger than the area of the original rectangle? - Calculate 8262
The barrel of water weighed 64 kg. When We poured 28% of the water from it on the first day and a third of the rest on the second day, it weighed 38 kg. Calculate the empty barrel's weight and the water's initial weight. - Subsequent 8261
Mr. Peter needs to dig a 20m deep well on his property. The AZET company charges 1 euro for the first meter and 2x more for each subsequent meter. The ZETA company charges 200 euros for each meter of well depth. Which company should Mr. Peter choose if he - Calculate 8259
Calculate the sum of all 4-digit odd natural numbers. - Calculate 8252
Calculate in cm² the area of a circle whose diameter is equal to the length of the diagonal of a square ABCD with a side of 4cm. - Atmospheric
Air pressure decreases with increasing altitude (at constant temperature) by approximately 1.2% per 100m. At sea level, i.e., a normal atmospheric pressure of approximately 1,000 hPa is assumed. The altitude of Lomnický štít is approximately 2,600 meters. - The machine
The annual depreciation of the machine is 10%. After eight years, the machine is worth 697 euros. What was the price of this machine at the time of purchase? - Possibilities 8237
How many different possibilities exist for settling friends A, B, C, D, E, and F in six seats if A wants to sit next to C? - Accommodated 8233
159 pupils took part in the ski trip and were accommodated in 3 winter huts marked letters A, B, and C, 8 more pupils were accommodated in cottage B than in cottage A, and 14 more pupils were accommodated in cottage C than in cottage B. How many pupils we - Bookshelf and books
How many ways can we place seven books on a bookshelf? - 4-digit 8231
How many 4-digit numeric pin codes can be created so that not all four digits are identical? - Menu
There are 12 kinds of meals on the menu. How many ways can we choose four different meals for the daily menu? - Hazelnut 8229
There are cherry, hazelnut, and milk candies in a 60-piece candy box. There are 2 times nuttier than cherry and 20 times more milky than nutty. How many candies of each type are in the box? - Probability of intersection
Three students have a probability of 0.7,0.5, and 0.4 to graduate from university, respectively. What is the probability that at least one of them will be graduated? - The diagram 2
The diagram shows a cone with a slant height of 10.5cm. If the curved surface area of the cone is 115.5 cm². Calculate to correct three significant figures: *Base Radius *Height *Volume of the cone - Quadrilateral 8221
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm. - Friction coefficient
What is the weight of a car when it moves on a horizontal road at a speed of v = 50 km/h at engine power P = 7 kW? The friction coefficient is 0.07 - Kilometers 8215
The scout troop covered a total of 28 km on the three-day trip. On Sunday, he walked twice as long as on Friday, and on Saturday, he walked 4 km longer than on Friday. How many kilometers did the scout troop walk each day?
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