# Units - math word problems

1. Milimeters The pool is 6 meters long, 3 meters wide and the water in it is filled with water to a height 1.7 m. When John jumped into it and completely submerged, the level has risen by 5.4 mm. How much weight John when we know that one liter of the human body weighs
2. Minute-hand How long distance will travel a large (minute) hand on the clock for 47 minutes, if its length is 43 cm?
3. Cube corners The wooden cube with edge 64 cm was cut in 3 corners of cube with edge 4 cm. How many cubes of edge 4 cm can be even cut?
4. ICE train German runways test a new ICE train between Munich and Berlin. The train runs to Berlin at a slow speed of 100 km/h. Back from Berlin goes faster. How quickly did the train have to go on a return trip so that the total average train speed for both journeys
5. Bricks wall There are 5000 bricks. How high wall thickness of 20 cm around the area which has dimensions 20 m and 15 m can use these bricks to build? Brick dimensions are 30 cm, 20 cm and 10 cm.
6. Ascent and descent Car goes 114 km track, which consists of ascent and descent at time of 1 hour 35 minutes. When climbing moves at the speed 48 km/h and downhill 25 m/s. What is the length of climb and descent?
7. 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?
8. The angle of lines Calculate the angle of two lines y=x-21 and y=-2x+14
9. Angle Draw angle |∠ ABC| = 130° and built its axis. What angle is between axis angle and arm of angle?
10. Brass tube The outer perimeter of brass tube (ρ = 8.5 g/cm3) is 38 cm. Its mass is 5 kg, length 54 cm. What is the pipe wall thickness?
11. Lidl calculator We don't like to advertise unnamed retail chains. But offers relatively high-quality scientific/technical calculator OLYMPIA 8510S with 97 functions(features) for 3.48 Eur. Calculate how many cents costs one feature of this calculator. We believe that.
12. Painting Jožko with Fero painted the bench for four hours. How many hours would take work if four friends help him?
13. Disinfecting solution How much distilled water is necessary to pour into 500 ml of 33% hydrogen peroxide solution to obtain 3% disinfecting solution?
14. Angles of the triangle ABC is a triangle. The size of the angles alpha, beta are in a ratio 4: 7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine angles of the triangle ABC.
15. Seeds The field has a rectangular shape with dimensions of 128 m and 350 m. How many kg of seed are needed for sowing if the 1 m2 will consume 25 g of seeds?
16. Minute hand v2 In how many minutes describe the minute hand angle 60 degrees?
17. Maple Maple peak is visible from a distance 3 m from the trunk from a height of 1.8 m at angle 62°. Determine the height of the maple.
18. Painters The first team of painters would paint bridge in 15 days, the second in 10 days. After 3 days of working together second team goes out and continue only first team. How many days took second team to finish painting the bridge?
19. Angles ratio The internal angles of a triangle are in ratio 1:4:5 What kind of triangle is it? (solve internal angles and write down and discuss)
20. Reflector Circular reflector throws light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has with the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane?

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