# Examples for 8th grade - page 80

1. Remuneration Total remuneration for workers is 47 000 CZK. The second worker received 20% more than the first and third 4000 CZK less than a second employee. How many CZK each received?
2. Failure Drivers of passenger cars have calculated that at a speed of 60 km/h arrives at destination within 40 minutes. After 20 km refrain five minutes due a technical failure. How fast must go the rest of the way to the finish came at the scheduled time?
3. Iron cast What is the weight of cast iron with volume 3575 cubic centimeters. The density of the cast iron is 7600 kg/m3
4. Sum of three numbers The sum of three numbers from which second number is 20% smaller than the first number and the third number is 25% smaller than the second number is 96. Determine this numbers.
5. Krkonose CZ Tourist's rod on the tourist route in the Krkonose was 1/5 of its length into the ground. Snow fell in winter and 1/3 of the length of the rod remained above the snow. Find the height of the snow if the length of the part above the snow is 32 cm greater t The car was loaded with 78 boxes weighing 19 kg. How many 25kg boxes can load if the total weight is the same?
7. Ice cream Annie likes much ice cream. In the shop are six kinds of ice cream. In how many ways she can buy ice cream to three scoop if each have a different flavor mound and the order of scoops doesn't matter?
8. Two ages Gabrielle is 9 years younger than Mikhail. The sum of their ages is 87. What is Mikhail's age?
9. Cooling liquid Cooling liquid is diluted with water in a ratio of 3:2 (3 parts by volume of coolant with 2 volumes of water). How many volumes of coolant must be prepared for a total 0.7 dm3 (liters) of the mixture?
10. Two circles Two circles with a radius 4 cm and 3 cm have a center distance 0.5cm. How many common points have these circles?
11. Cat One-fifth of the monthly pocket money contributes Maros for food for his cat, half of the rest postpone for a new smartphone. The remaining € 8 spend. How much pocket money gets Maros a month?
12. Journey to school On the way to school I went steady step. In the first half of the journey, I counted every second step, in the second half every third. How many steps I do when I went to school if I counted double step are 250 more than three steps?
13. Ace The length of segment AB is 24 cm and the point M and N divided it into thirds. Calculate the circumference and area of this shape.
14. Hydrostatic force What hydrostatic force is applied to an area of 30 cm2 in water at a depth of 20 m? (Water density is 1000 kg/m3)
15. Profitability The purchase price of goods is 13000, the sales price is the 20000. What is the profitability as a percentage?
16. Three children 3 children eat 8 chocolates in 6 days. How many chocolates 6 children eat in 18 days?
17. Kite John a kite, which is diamond shaped. Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper John needs to make a kite if he needs paper on both sides and needs 5% of the paper for bending.
18. Midpoints Triangle ABC with sides a = 5 cm, b = 3 cm, c = 40mm has a midpoint of K, L, M. How many centimeters is long perimeter of parallelogram KBLM?
19. Circle r,D Calculate the diameter and radius of the circle if it has length 52.45 cm.
20. Calf The weight of the calf meat obtained is 65% of the total weight of live calves. What was the weight of a calf from which 285 kg of meat was obtained?

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