# Units - math word problems

1. Brick Isosceles scale has on one side all brick and second weight 1 kg and 1/4 of brick. The balance is in equilibrium. What is the weight of a brick?
2. Mast Mast has 17 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 9.3°. Determine the height of the mast, if the sun above the horizon is at angle 44°30'.
3. Reconstruction of the corridor Calculate how many minutes will be reduced to travel 187 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time, if we consider that the train must stop at 6 stations, eac
4. Diagonals of the rhombus Calculate height of rhombus whose diagonals are 12 cm and 19 cm.
5. 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.
6. Cubic Convert 660 m3 of natural gas volume to energy units kWh. Combustion of 1 cubic meter of natural gas is released energy 10.55 kWh.
7. Car range Kia has an average gasoline consumption of 7.1 liters per 100 kilometers. What is the range of the car for 95 euros if fuel costs 1.6 EUR / liter, if the tank has a volume of 72 liters?
8. Extreme temperatures USA hit extreme heat wave. Calculate percentage of the air temperature change from normal summer temperature 23 °C to 40 °C.
9. 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. Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
11. Angle between lines Calculate the angle between these two lines: ? ?
12. Thrift woman Calculate how long grandmother will save to new shoes priced 108 euros if save 3 Eur monthly.
13. 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%.
14. Trigonometric functions In right triangle is: ? Determine the value of s and c: ? ?
15. Inflation What is better for people (employees)? ?
16. Motion Cyclist started at 9:00 from point S to point T. After 10 minutes, followed him at the same speed the second cyclist. Walker, which went from T to S, started at 9:35. After 71 minutes he met the first cyclist and after next 8 minutes the second cyclist. Di
17. Isosceles triangle Calculate the perimeter of isosceles triangle with arm length 26 cm and base length of 21 cm.
18. Rates When gas consumption, the consumer may choose one of two rates: rate A - which pays 0.4 € per 1 m3 of gas a flat monthly fee of 3.9 € (regardless of consumption) rate B - which pays 0.359 € per 1 m3 of gas a flat monthly fee of 12.5 € From what monthl
19. Balance The rod are 1.9 m long hanging weights 4 kg and 1 kg on ends. Where are centre of rod (distance from weight 4 kg) to be in balance?
20. N-gon angles What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon?

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...