# Problems for 6th grade (the sixth graders) - page 13

1. Chalet The children were on a school trip to the mountain . One third of the journey went by the train and continue by bus. When you get off the bus, they remained a third of the distance they traveled by bus. What part of journey children went by the bus (wrote
2. Quotient Determine the quotient (q) and the remainder (r) from division numbers 100 and 8. Take the test of correctness. How much and how many times is 72.1 greater than 0.00721?
4. Liquid soap Three-member family enough liter of liquid soap for 20 days. After how many days the amount consumed when at the holidays come to us two cousins.
5. Pool coating How many pieces of tiles 25 cm × 15 cm need to coat the bottom and side walls of the pool with bottom dimensions 30 m × 5 m, if the pool can fit up to 271500 liters of water?
6. Addition of Roman numbers Added together and write as decimal number: LXVII + MLXIV
7. Pumps 3 Two pumps of the same power fill the garden pool for 10 hours. How many of these pumps would have to use if we want to shorten the filling of the pool to four hours?
8. Triangle Prove whether you can construct a triangle ABC, if a=9 cm, b=6 cm, c=10 cm.
9. Shape Plane shape has a maximum area 677 mm2. Calculate its perimeter if perimeter is the smallest possible. Practitioners lined up in rectangle with row with four, five or six exercisers, one always missing to full rectangle. How many exercisers were on the field, if they have estimated not been more than 100?
11. Trains Daily passes the same track section 8 pairs of trains with average 2400 passagers. How many people average travel in one train?
12. 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
13. Minute-hand How long distance will travel a large (minute) hand on the clock for 47 minutes, if its length is 43 cm?
14. Unknown integer Find the smallest integer that: divided by 2, the remainder is 1 divided by 3 the remainder is 2, divided by 4 remainder is 3, ... divided by eight reminder is 7, by 9 reminder is 8.
15. 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?
16. 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.
17. 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?
18. Painting Jožko with Fero painted the bench for four hours. How many hours would take work if four friends help him?
19. Triangle P2 Can triangle have two right angles?
20. 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?

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