# Units - math word problems

1. Tourist Tourist walk at 4.1 km/h. Every 5 km have 20-minute break. How many kilometers passed, when started at 4:40 and finished at 10:30?
2. Equilateral triangle Calculate the side of an equilateral triangle, if its area is 892 mm2. Calculate the edge of the cube made ​​from lead, which weighs 19 kg. The density of lead is 11341 kg/m3.
4. Fan The fan has a speed of 210 RPM. Calculate for time of one fan period. The Slovakia circulates a lot of myths, particularly ideas about what must be free. For example - education should be free - children of poor parents should know at least read and write. Calculate how much a student would have to pay per hour of teaching
6. Sphere slices Calculate volume and surface of a sphere, if the radii of parallel cuts r1=31 cm, r2=92 cm and its distance v=25 cm.
7. Track arc Two straight tracks is in an angle 74°. They will join with circular arc with radius r=1127 m. How long will be arc connecting these lines (L)? How far is the center point of arc from track crossings (x)?
8. Conserving water Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in pipeline. Residential house has 129 m of hot water pipelines 5/8" and the hot water has a price of 7 Eur/m3.
9. Pump What power has a pump output to move 4853 hl of water to a height of 31 m for 8 hours?
10. Copper sheet The copper plate has a length of 1 m, width 94 cm and weighs 9 kg. What is the plate thickness, if 1 m3 weighs 8715 kg?
11. Chord MN Chord MN of circle has distance from the center circle S 120 cm. Angle MSN is 64°. Determine the radius of the circle.
12. Steeple Steeple seen from the road at an angle of 75°. When we zoom out to 25 meters, it is seen at an angle of 20°. What is high?
13. Trigonometry If you know that cos(γ) = sin (806°), what is the angle γ?
14. Cylinder Calculate the dimensions of rotating cylindrical container with volume 2 l, if height of container is equal to the diameter of the base.
15. Aquarium II Calculate how much glass we need to build an aquarium with a rectangular shape with base 70 cm × 70 cm and a height of 70 cm, if the waste is 2%. Aquarium haven't top glass.
16. A trip to the peak Dry Calculate what percentage is rising trip from Strečno to peak Suchý (Dry peak) longer than the descent back. Team trio of tourists (Palo, Peter and Andrew) rise took 4:21 and descent 3:08.
17. Cable car Cable car rises at an angle 45° and connects the upper and lower station with an altitude difference of 744 m. How long is "endless" tow rope?
18. Thrift woman Calculate how long grandmother will save to new shoes priced 108 euros if save 3 Eur monthly.
19. Glass of juice Glass of juice shaped cylinder 16 cm height and base diameter of 7 cm is filled with juice so that the level is 4 cm below the rim of the glass. Determine the maximum angle of the cup can be tilted and juice don't overflow.
20. Forest nursery In Forest nursery plant one pine to 1.9 m2. Calculate how many plants are planting in area 362 acres.

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