# Basic functions - math word problems

1. Book To number pages of thick book was used 4201 digits. How many pages has this book?
2. Pipe Steel pipe has a length 2.5 meters. About how many decimetres is 1/3 less than 4/8 of this steel pipe?
3. Slope of track Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Nitrianske Pravno (354 m AMSL), if the track is 11 km long.
4. Cyclist Cyclist goes uphill 10 km for 50 minutes and downhill minutes for 29 minutes, both applied to the pedals same force. How long he pass 10 km by plane?
5. Fuel consumption Citroen car has an average gasoline consumption of 5.3 liters per 100 kilometers. What is the car range for a full tank of volume 68 liters?
6. Bulbs The probability that the bulb can operate 4000 hours is 0.3. What is the probability that exactly one of eight bulbs can operate 4000 hours?
7. Golden ratio Divide line of length 14 cm into two sections that the ratio of shorter to greater is same as ratio of greater section to whole length of the line.
8. Free fall Lloyd fall from height 7 m. Calculate the speed he hit the ground when falling with acceleration g = 9.81 m/s2
9. Farmer The farmer farming 293 ha of arable land and the remaining 20% are meadows and pastures. How much land farmer owns?
10. Circumference - a simple What is the ratio of the circumference of any circle and its diameter? Write the result as a real number rounded to 2 decimal places.
11. Forest nursery In Forest nursery plant one pine to 1.9 m2. Calculate how many plants are planting in area 362 acres.
12. Secret number Determine the secret number n, which reversed decrease by 16.4 if the number increase by 16.4.
13. Equator Suppose that tourist went on foot over the Globe equator. How many meters more track made ​​his hat on his head as the shoes on your feet? The radius of the earth is 6378 km and height of the tourist is 1.7 m.
14. Pension or fraud Imagine that your entire working life working honestly and pay taxes and to Social Insurance (in Slovakia). You have a gross wage 730 Euros, you pay social insurance (you and your employer) monthly € 263 during 44 years and your retirement is 354 Eur.
15. Sea on the Moon Assume that the Moon has sea, the same composition as on the Earth (has same density of salt water). Calculate dive of boat floating in the sea on the Moon, when on Earth has dive 3.6 m. Consider that the Moon has 6.5-times smaller gravitational accelerati
16. N-gon angles What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon?
17. VAT VAT is a tax which the state artificially betrays goods and services for final consumption. VAT in Slovakia is 20%. Calculate how much percent pay less tax residents of Liechtenstein, when VAT is only 8%.
18. Guess number With what number should be divided number 9727 to be reduced by 70%?
19. Extreme temperatures USA hit extreme heat wave. Calculate percentage of the air temperature change from normal summer temperature 23 °C to 40 °C.
20. Median The median of the triangle LMN is away from vertex N 84 cm. Calculate the length of the median, which start at N.

Do you have an interesting mathematical word problem that you can't solve it? Enter it, and we can try to solve it.

To this e-mail address, we will reply solution; solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...