# Units - math word problems

1. Fast tourists If three tourists pass the route in 5 hours, how long will the same route take six equally fast tourists?
2. The bakery The bakery baked 325 cakes from 25kg flour. How many kg of flour do they need to bake 195 pieces of such cakes?
3. Playground On the special playground, there are 81 square sectors, each with a side of 5 m. How many players can fit on the playground if each player needs a 75 m2 area to play?
4. Half-filled A cylindrical pot with a diameter of 24 cm is half-filled with water. How many centimeters will the level rise if we add a liter of water to it?
5. Altitude difference What a climb in per mille of the hill long 4 km and the altitude difference is 6 meters?
6. Hiking trail The newly built hiking trail leads 25% through the field, 3/8 of the trail leads through the forest and the remaining 9 km along the river. How long is the train?
7. Magnitude of angle What magnitude has an obtuse angle enclosed by the hands of clocks at 12:20 hours?
8. Wax candles A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 4 inches and a height of 7 inches. If the company used 7561.12 in3 of wax, how many candles did it make? Use 3.14, and do not round your answer
9. Height of the cylinder The cylinder volume is 150 dm cubic, the base diameter is 100 cm. What is the height of the cylinder?
10. Nádoba Nádoba tvaru kostky je naplněna vodou do poloviny své výšky. Pokud dolijeme 20 l vody, bude nádoba naplněna do tří čtvrtin své výšky. Jaký je objem celé nádoby?
11. Hemisphere - roof The shape of the observatory dome is close to the hemisphere. Its outer diameter is 11 m. How many kilograms of paint and how many liters of paint is used for its double coat if you know that 1 kg of paint diluted with 1 deciliter of paint will paint an a
12. Vegetable meal The cook was doing meal - in ratio 4: 3: 1 mix tomatoes: pepper: onion. Onions were 5 kg less than peppers. How many kgs of tomatoes did he need to prepare the meal?
13. The spacecraft The spacecraft spotted a radar device at altitude angle alpha = 34 degrees 37 minutes and had a distance of u = 615km from Earth's observation point. Calculate the distance d of the spacecraft from Earth at the moment of observation. Earth is considered
14. Top of the tower The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m, the pyramid height is 1.6 m. How many square meters of sheet metal is needed to cover the top of the tower if 15% extra sheet metal is needed for joint
15. Father and daughter Father is 36 years old, daughter is 20 years less. What will be the ratio between them when they are 10 years more?
16. Akpan Akpan spent 3/8 of his time in school during the week. What fraction of his time does he spend at home during the week?
17. Suppose Suppose you know that the length of a line segment is 15, x2=6, y2=14 and x1= -3. Find the possible value of y1. Is there more than one possible answer? Why or why not?
18. Ages Father is 36 years old, his daughter is 4 years old. Write down the ratio of the age of father and daughter. In what ratio will the ages of father and daughter after 4 years?
19. A cell tower A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal?
20. Age ratio Janko is 14 years old. The age ratio of Janka and Zuzka is 2: 3. What was the ratio seven years ago?

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