# Examples for 8th grade - page 80

- Body diagonal

Find the cube surface if its body diagonal has a size of 6 cm. - Four friends

Four friends shared the money. Vasek got 1/4 of the total amount. Tonda received 1/3 of the rest of the money, Joe got a half from the second residue and Jirka left 80. How much money get together? - Masons

1 mason casts 30.8 meters square in 8 hours. How long casts 4 masons 178 meters square? - 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? - 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? - 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 - 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? - 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? - 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 dm^{3}(liters) of the mixture? - 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? - Two ages

Gabrielle is 9 years younger than Mikhail. The sum of their ages is 87. What is Mikhail's age? - 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. - Profitability

The purchase price of goods is 13000, the sales price is the 20000. What is the profitability as a percentage? - 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? - Three children

3 children eat 8 chocolates in 6 days. How many chocolates 6 children eat in 18 days? - Conva

How many liters of water fit into the shape of a cylinder with a bottom diameter 20 cm and a height 45 cm? - Iron cast

What is the weight of cast iron with volume 3575 cubic centimeters. The density of the cast iron is 7600 kg/m3 - Euros

Peter, Jane and Thomas have together € 550. Tomas has 20 euros more than Jane, Peter € 150 less than Thomas. Determine how much has each of them. - The ladder

The ladder is 10 m long The ladder is 8 m high How many meters is the distant heel from the wall? - Factory

In the factory workers work in three shifts. In the first inning operates half of all employees in the second inning and a third in the third inning 200 employees. How many employees work at the factory?

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