# Examples for secondary school students - page 2

1. Isosceles triangle 8 If the rate of the sides an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree.
2. Carpenters Carpenters 1 and 2 spend 10 days and 5 days respectively to make one table. If 50 tables were made by the first carpenter and 30 tables were made by the second carpenter, What is the average time spent on the products?
3. Cable car Find the elevation difference of the cable car when it rises by 67 per mille and the rope length is 930 m.
4. Spherical cap 4 What is the surface area of a spherical cap, the base diameter 20 m, height 2.5 m? Calculate using formula.
5. A screen A screen is 1680 x 1050 pixels. What are the coordinates (and size in pixels) of an centered area which is exactly 33% of the screen size?
6. Trapezoid MO The rectangular trapezoid ABCD with right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of ​​the trapezoid.
7. Pool If water flows into the pool by two inlets, fill the whole for 18 hours. First inlet filled pool 6 hour longer than second. How long pool is filled with two inlets separately?
8. Bonus Gross wage was 527 EUR including 16% bonus. How many EUR were bonuses?
9. Logic A man can drink a barrel of water for 26 days, woman for 48 days. How many days will a barrel last between them?
10. TV transmitter The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have.
11. Beer After three 10° beers consumed in a short time there are 5.6 g of alcohol in 6 kg adult human blood. How much is it per mille?
12. Cube in a sphere The cube is inscribed in a sphere with volume 6116 cm3. Determine the length of the edges of a cube.
13. Axial section Axial section of the cone is equilateral triangle with area 208 dm2. Calculate volume of the cone.
14. Circle chord What is the length d of the chord circle of diameter 36 m, if distance from the center circle is 16 m?
15. Rectangle The rectangle is 11 cm long and 45 cm wide. Determine the radius of the circle circumscribing rectangle.
16. River Calculate how many promiles river Dunaj average falls, if on section long 957 km flowing water from 1454 m AMSL to 101 m AMSL.
17. Trigonometric functions In right triangle is: ? Determine the value of s and c: ? ?
18. Cuboid Cuboid with edge a=16 cm and body diagonal u=45 cm has volume V=11840 cm3. Calculate the length of the other edges.
19. Clock How many times a day hands on a clock overlap?
20. Server Calculate how many average minutes a year is the web server is unavailable, the availability is 99.99%.

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