Examples for secondary school students - page 116 of 231
Number of problems found: 4613
- Barrel Water Weight Empty
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. - Well digging cost
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 - Odd number sum
Calculate the sum of all 4-digit odd natural numbers. - Circle Area from Diagonal
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? - Seating Arrangement Condition
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? - Ski trip accommodation
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? - Four-Digit PIN Codes
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? - Candy box distribution
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 - Pyramid Height and Surface
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 - Scout trip distance
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? - Distance Between Boats
An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane. - Loan 5 Abdul takes a loan of 200000 from Ali and agrees to repay in several installments. Each installment begins with the 2nd, exceeding the previous one by 1000. If the first installment is 500, find how many installments will be necessary to be wiped out of t
- Prism Box Force Weight
We turn the prism-shaped box with a height of 1 m and a square base with an edge of 0.6 m under a force of 350 N, which acts horizontally compared to the upper edge. What is the weight of the box?
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