# Units - math word problems

1. Holidays Calculate how many hours take holidays, if take 5 weeks.
2. It is rectangular? Size of two of the angles in a triangle are: α=110°, β=40°. Is it a right triangle?
3. Tanks Fire tank has cuboid shape with a rectangular floor measuring 13.7 m × 9.8 m. Water depth is 2.4 m. Water was pumped from the tank into barrels with a capacity of 2.7 hl. How many barrels were used, if the water level in the tank fallen 5 cm? Wr
4. Circle arc Circle segment has a circumference of 135.26 dm and 2096.58 dm2 area. Calculate the radius of the circle and size of central angle.
5. Triangle Triangle KLM is given by plane coordinates of vertices: K[11, -10] L[10, 12] M[1, 3]. Calculate its area and itsinterior angles.
6. Rainfall Annual rainfall in our country are an average of 797 mm. How many m3 of water rains on average per hectare?
7. Right Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
8. Crystal Crystal grows every month 1.2 promile of its mass. For how many months to grow a crystal from weight 177 g to 384 g?
9. Alcohol How many 55% alcohol we need to pour into 14 liters 75% alcohol to get p3% of the alcohol? How many 65% alcohol we get?
10. Triangle ABC Calculate the sides of triangle ABC with area 1404 cm2 and if a: b: c = 12:7:18
11. Ravens The tale of the Seven Ravens were seven brothers, each of whom was born exactly 2.5 years after the previous one. When the eldest of the brothers was 2-times older than the youngest, mother all curse. How old was seven ravens brothers when their mother cur
12. Area of trapezoid The trapezoid bases are and 7 dm and 11 cm. His height is 4 cm. Calculate the area of trapezoid.
13. IS triangle Calculate interior angles of the isosceles triangle with base 38 cm and legs 26 cm long.
14. Density - simple example Material of density of 532 kg/m3 occupies a container volume of 79 cm3. What is its mass?
15. Time Write time in minutes rounded to one decimal place: 5 h 28 m 26 s.
16. Weeks 38 weeks is equal to how many days?
17. Gutter How much metal is needed for production 46 pieces of gutter pipes with the diameter 12 cm and length of 4 m? The plate bends add 2% of the material.
18. Prism Right angle prism, whose base is right triangle with leg a = 3 cm and hypotenuse c = 13 cm has same volume as a cube with an edge length of 3 dm. a) Determine the height of the prism b) Calculate the surface of the prism c) What percentage of the cube
19. Cuboid diagonal Calculate the volume and surface area of the cuboid ABCDEFGH, which sides abc has dimensions in the ratio of 9:3:8 and if you know that the wall diagonal AC is 86 cm and angle between AC and the body diagonal AG is 25 degrees.
20. Cone Calculate volume and surface area of ​​the cone with a diameter of the base d = 15 cm and side of cone with the base has angle 52°.

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