Examples for secondary school students - page 124 of 230
Number of problems found: 4597
- Together 7606
Jana and Dana have saved 220 crowns together. Jana spent a fifth of her savings, and Dana spent a quarter. Then, they had a total of CZK 150 left. How much have they saved? - Depth angle
From a cliff of 150 meters high, we can see the ship at a depth angle of 9° at sea. How far is the ship from the cliff? - Two cities
The car goes from city A to city B at an average speed of 70 km/h and back at an average speed of 50 km/h. If it goes to B and back at an average speed of 60 km/h, the whole ride will take 8 minutes less. What is the distance between cities A and B? - Temperature 7595
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the t - Annual pension Calculate the amount of money generating an annual pension of EUR 1000, payable at the end of the year and for a period of 10 years, which shall be inserted into the bank to account with an annual interest rate of 2%
- Infinite sum of areas
An equilateral triangle A1B1C1 is constructed above the height of the equilateral triangle ABC is constructed as. Above the height of the equilateral triangle A1B1C1 is built triangle A2B2C2, and so on. The procedure is repeated continuously. What is the - Quadrilateral 7583
For the sizes of the interior angles of the quadrilateral ABCD, the following applies: the angle alpha is 26° greater than the angle beta, twice the angle Beta is 5° less than the angle gamma, and the angle gamma is 36° greater than the angle delta. Deter - Election 4
In a certain election there are 3 candidates for president, 5 for secretary and only 2 for the treasurer. Find how many way the election may turn out. - Circle described
The circle radius described in the right triangle with a 6 cm long leg is 5 cm. Calculate the circumference of this triangle. - Axial cut of a rectangle
Calculate the volume and surface of the cylinder whose axial cut is a rectangle 15 cm wide with a diagonal of 25 cm long. - Calculate 7572
At eight in the morning, a cyclist went from city K to city L. He stayed in city L for 4.25 hours and returned home at 3:00 p.m. Calculate the distance between cities K and L if the cyclist traveled to city L at a speed of 12 km/h and from city L to city - Isosceles 7566
A right isosceles triangle is inscribed in the circle with r = 8 cm. Find triangle area S. How much percent does the triangle occupy the area of the circle? - Spectators 7562
The theater has the shape of a semicircle, and the podium is the diameter of a semicircle. Spectators K, L, M, N, and O, sit around the perimeter. Who sees the podium at the greatest angle? - Average 7560
The company of five people has an average age of 46 years. The average age of the first four of them is 43 years. How old is the fifth one? - A student
A student is to answer 8 out of 10 questions on the exam. a) find the number n of ways the student can choose 8 out of 10 questions b) find n if the student must answer the first three questions c) How many if he must answer at least 4 of the first five q - Pupils
There are 32 pupils in the classroom, and girls are two-thirds more than boys. a) How many percent are more girls than boys? Round the result to a whole percentage. b) How many boys are in the class? c) Find the ratio of boys and girls in the class. Write - Employees
1116 people are working in three factory halls. In the first one, 18% more than the third, and 60 persons more than the second. How many employees work in individual halls? - Traveled 7541
The tourist covered 47 km in three days. The first day ran 20 percent more than the second day, and the third day was 4 km less than the second day. How many km has he traveled each day? - Circus
At the circus performance, there were 150 people. Men were ten less than women and children 50 more than adults. How many children were in the circus? - Trapezoid 7537
Diagonal alpha equals 0.4 m, and diagonal beta equals 0.4 m in the isosceles trapezoid. Side AB is 120 cm, and side DC is 7.6 dm. Find the length of arms in an isosceles trapezoid. Please result round to 2 decimal places.
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