Examples for secondary school students - page 219 of 230
Number of problems found: 4586
- n-gon
Gabo draws an n-gon, in which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon? - Sea water
Mixing 63 kg of seawater with 43 kg rainwater is created water containing 2.7% salt. How much percent of seawater contains salt? - Cinema
The Cinema auditorium is built for 3300 people. The first row is planned for 36 seats, and each next gradually 4 more. How many rows of seats will have an auditorium? - Camel
Camel's owner wants to get out of the city into an oasis. He bought 3000 bananas, which he wants to sell in the oasis. However, an oasis from the city divided 1,000 kilometers of desert. Camel can carry up to 1000 bananas and eats one banana for every kil - Bath
There are 30 liters of hot water in the bath. Then we added 39 liters of cold water at a temperature of 19 °C and decreased the temperature of the water to 45 °C. What was the initial temperature of the hot water? - Scrap
From 18 products are 5 scraps. What is the probability that the random pick of 2 products has no defective product? - Sequence
In the arithmetic sequence, is a1=-8, d=-3. Which member is equal to the number -155? - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Toys
3 children pulled 12 different toys from a box. How many ways can toys be divided so each child has at least one toy? - Spherical cap
From the sphere with a radius of 26 was a truncated spherical cap. Its height is 2. What part of the volume is a spherical cap from the whole sphere? - Center
In the ABC triangle is point D[1,-2,6], which is the center of the |BC|, and point G[8,1,-3], which is the center of gravity of the triangle. Find the coordinates of the vertex A[x,y,z]. - Car factory
The carmaker now produces 2 cars a day more than last year, so the production of 70312 cars will save just one full working day. How many working days were needed to manufacture 70312 cars last year? - Hearts
3 cards are chosen from a standard deck of 52 playing cards (13 hearts) with replacements. What is the probability of choosing 3 hearts in a row? - Pizza
A school survey found that 10 out of 15 students like pizza. If 5 students are chosen randomly, what is the probability that all 5 students like pizza? - Events
Event W has the probability of 0.57. What is the probability that the event W occurs in 2, 6, 5 try? - Sales
From statistics of sales goods, item A buys 57% of people, and item B buys 76% of people. What is the probability that from 18 people buy 10 item A and 8 item B? - TV fail
After 10,000 hours, the TV has an average of 25 failures. Find the probability of TV failure after 400 hours of operation. - Earth's circumference
Calculate the Earth's circumference of the parallel 48 degrees and 10 minutes. - Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm. - Rectangle
In rectangle ABCD with sides, |AB|=19, |AD|=19 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio r = (|PB|)/(|DP|).
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