# Basic functions - problems - page 15

1. Height difference
What height difference overcome if we pass road 1 km long with a pitch21 per mille?
2. 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?
4. Fractions
Sort fractions ? by its size. Result write as three serial numbers 1,2,3.
5. Pizza master
Master says that he can splits pizza to 16 parts by five equals straight cuts. Is it possible?
6. 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?
7. Dices
We will throw two dice. What is the probability that the ratio between numbers on first and second dice will be 1:2?
8. 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?
9. 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
10. Denominator
Calculate the missing denominator x: ?
11. 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?
12. 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
13. Carpenter
You want to cut long board into smaller pieces. Carpenter said that one cut of the board into two pieces will cost you 100 cents. But you need to cut the board into 9 parts. How much you pay?
14. Exhibition
The teacher paid for 280 Kč for 4.A students for admission to the exhibition. How many students were on the exhibition?
15. Demographics
The population grew in the city in 10 years from 42000 to 54500. What is the average annual percentage increase of population?
16. Hiker
Hiker went half of trip the first day, the third of trip the second day and remaines 15 km. How long trip he planned?
17. Car factory
Carmaker now produce 4 cars a day more than last year, so the production of 388128 cars will save just one full working day. How many working days needed to manufacture 388128 cars last year?
18. Lord Ram
When lord Ram founded the breed white sheep was 8 more than black. Currently white sheep are four times higher than at the beginning and black three times more than at the beginning. White sheep is now 42 more than the black. How many white and black sh
19. Event probability
The probability of event P in 8 independent experiments is 0.33. What is the probability that the event P occurs in one experiment (probability is same)?
20. Two workers
The first worker completed the task by himself in 9 hours, the second in 15 hours. After two hours of joint work left first worker to a doctor and the second finished the job himself. How many hours worked second worker himself?

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