# Basic functions - math word problems

1. Mystery of stereometrie Two regular tetrahedrons have surfaces 88 cm2 and 198 cm2. In what ratio is their volumes? Write as a fraction and as a decimal rounded to 4 decimal places.
2. Pumps Pump that draws water at velocity 3.5 liters per second water from a construction trench take 35 minutes. a) Find out how many minutes the water would run out of the trench pump that draws 7.4 liters of water per second. b) What is the pumping velocity wo
3. Sphere and cone Within the sphere of radius G = 33 cm inscribe cone with largest volume. What is that volume and what are the dimensions of the cone?
4. 3y inflation Price of the roll rise in the first year by 9%, the second year fell by 5% and in the third year increased by 3%. Calculate the average annual increase in price of the roll.
5. Ratio Increase in the ratio 20:4 number 18.5.
6. Height difference What height difference overcome if we pass road 1 km long with a pitch21 per mille?
7. Black building Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m2 for small building. Building not built in accordance with the law is called "black building". Calculate the angle that the walls were clenchin Average climb of the road is given by ratio 1:15. By what angle road average climb?
9. Fractions Sort fractions ? by its size. Result write as three serial numbers 1,2,3.
10. Pizza master Master says that he can splits pizza to 16 parts by five equals straight cuts. Is it possible?
11. Lines Five bus lines runs at intervals 3, 6, 9, 12, 15 minutes. In the morning, suddenly start at 4:00. After how many minutes the bus lines meet again?
12. Dices We will throw two dice. What is the probability that the ratio between numbers on first and second dice will be 1:2?
13. Fertilizer Mr. Gherkin use for fertilization 8% solution of fertilizer. 4 liters of it still left. How much water must be added to the solution to make only 4% solution?
14. Working time - shortening The media often speculates about the change (especially to shorten) the working time of the five-day eight-hour working week to another working model. Calculate how many hours a day the employee would have to work a day at 3-day work week if he must work t
15. Denominator Calculate the missing denominator x: ?
16. Pedestrian and cyclist Pedestrian out with a speed of 4 km/hour from city center and after 1hour and 10 minutes came after him cyclist at speed of 18 km/h. At how many minutes he catches up with pedestrian?
17. Purchase Mother bought 5 boxes of milk and 7 kg of potatoes and paid a total CZK 147. Aunt bought 7 boxes of milk and 3 kg of potatoes and paid 131 CZK. What is the price of one carton of milk and 1 kg of potatoes? How CZK together would have saved if bought at the
18. Carpenter You want to cut long board into smaller pieces. Carpenter said that one cut of the board into two pieces will cost you 70 cents. But you need to cut the board into 9 parts. How much you pay?
19. Exhibition The teacher paid for 280 Kč for 4.A students for admission to the exhibition. How many students were on the exhibition?
20. Demographics The population grew in the city in 10 years from 42000 to 54500. What is the average annual percentage increase of population?

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