# Grade - examples - page 59

1. Class 8.A Three quarters of class 8.A went skiing. Of those who remained at home one third was ill and the remaining six were on math olympic. How many students have class 8.A?
2. Painters The first team of painters would paint bridge in 15 days, the second in 10 days. After 3 days of working together second team goes out and continue only first team. How many days took second team to finish painting the bridge?
3. Reflector Circular reflector throws light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has with the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane?
4. Angle A straight line p given by the equation ?. Calculate the size of angle in degrees between line p and y-axis.
5. Against each other From two points A, B distant 23 km at the same time started two cars against each other at speeds 41 km/h and 65 km/h. How long does cars meet and what distance passes each of them?
6. Cows 20 cows has food for 60 days. We reduce the dose to two-thirds for 18 cows. How many days will be fed?
7. Sum-log The sum of two numbers is 32, the sum of their logarithms (base 10) is 2.2. Determine these numbers.
8. Words How many 3 letter "words" are possible using 14 letters of the alphabet? a) n - without repetition b) m - with repetition
9. Book Calculate the thickness of the page of the collection of examples from mathematics, where 4.87 cm thick and has 451 pages.
10. Circles In the circle with a radius 7.5 cm are constructed two parallel chord whose lengths are 9 cm and 12 cm. Calculate the distance of these chords (if there are two possible solutions write both).
11. Fisherman Fisherman caught 32 fish, which is four times more than last year. How many fish he caught last year?
12. Knight Knight passed 13 km long track in 26 minutes, what was his average speed?
13. Dairy Diary workers calculated according to the standards that from the 108 liters of milk is possible to produce 9 kg cheese. How many tons of cheese was possible according to standards make from milk from 100 cows devoted for 30 days with average daily milk.
14. Aluminum wire Aluminum wire of 3 mm diameter has a total weight of 1909 kg and a density of 2700 kg/m3. How long is the wire bundle?
15. Permill How many permill is 978 from 84370?
16. Sphere fall How many percent fall volume of sphere if diameter fall 10×?
17. Railways - golden parachutes As often happens in Slovakia habit, the state's financial institution which takes from poverty and gorilas give. A hardworking punishing taxes. Let's look at a short work of director Railway Company ZSSK - Mgr . P. K. : 18 months 'work' as director .
18. Self A math text book is 2 2/9 inches thick. how many of these books will fit on a 120-inch self?
19. Triangular pyramid Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm
20. Train 2 The train slowed down from 90 km/h to 72 km/h in 5 seconds. How long track travel?

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