# Grade - examples - page 43

1. Elections The elections attended a total 4818 voters. First day 39 men more than women, the second day 21 women more than men. How many women attended elections?
2. Snowman 2 On the medal, which has the shape of a circle with a diameter 18 cm is sketched snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over snowman is the same as under it, 3. diameters of all circles express
3. Circular motion Mass point moves moves uniformly in a circle with radius r = 3.4 m angular velocity ω = 3.6 rad/s. Calculate the period, frequency, and the centripetal acceleration of this movement.
4. Rectangular trapezoid How many inner right angles has a rectangular trapezoid?
5. Forth and back Car goes from point A to point B at speed 78 km/h and back at 82 km/h. If went there and back at speed 81 km/h journey would take five minutes less. What is the distance between points A and B?
6. Tetrahedron Calculate height and volume of a regular tetrahedron whose edge has a length 18 cm.
7. Parallelogram The perimeter of the parallelogram is 417 cm. The length of one side is 1.7-times longer than the length of the shorter side. What is the length of sides of a parallelogram?
8. Pedestrian Pedestrian came started at 8h in the morning with speed 4.4 km/h. At half-past eleven cyclist started at 26 km/h same way. How many minutes take cyclist to catch up pedestrian?
9. Trapezoid RT The plot has a shape of a rectangular trapezium ABCD, where ABIICD with a right angle at the vertex B. side AB has a length 36 m. The lengths of the sides AB and BC are in the ratio 12:7. Lengths of the sides AB and CD are a ratio 3:2. Calculate consumptio
10. Rectangular trapezoid The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid.
11. Sequence In the arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n.
12. Rhombus problem Perimeter of the rhombus is 204 dm and it area is 2244 dm2. Calculate the height of the rhombus.
13. Earth's diameter The Earth's diameter on the equator is approximately 12750 km. How long does the Gripen flyover the Earth above the equator at 10 km if it is at an average speed of 1500 km / h?
14. Exp If ?, then n is:
15. Circumscription Calculate radius of the Circumscribed circle in the rectangle with sides 20 and 19. It can be rectangle inscribed by circle?
16. Bus At the A bus stop boarded 6 people into the bus and on each other bus stop one man more than the previous one. On E station never boarded. Stops are A, B, C, D, E. Calculate the number of people on the bus after leaving the station E.
17. Linear independence Determine if vectors u=(-4; -5) and v=(20; 25) are linear Linear dependent.
18. Goniometric form Determine goniometric form of a complex number ?.
19. Metal alloy What is the ratio of metals in the alloy that is in the 50 tonnes of steel to 30 kg nickel?
20. Components In the box are 8 white, 4 blue and 2 red components. What is the probability that we pull one white, one blue and one red component without returning?

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