# Examples for 6th grade (the sixth graders) - page 3

- Numbers

Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17. What is its sum? - Rainfall

Annual rainfall in our country are an average of 797 mm. How many m^{3}of water rains on average per hectare? - Cats

Two cats caught two mice in two days. How many mouses will catch 6 cats for 6 days? - Two squares

Two squares whose sides are in the ratio 5:2 have sum of its perimeters 73 cm. Calculate the sum of area this two squares. - 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? - Chamber

In the chamber light is broken and all from it must be taken at random. Socks have four different colors. If you want to be sure of pulling at least two white socks, we have to bring them out 28 from the chamber. In order to have such certainty for the pai - 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 - Area of trapezoid

The trapezoid bases are and 7 dm and 11 cm. His height is 4 cm. Calculate the area of trapezoid. - Time

Write time in minutes rounded to one decimal place: 5 h 28 m 26 s. - Cherries

Cherries in the bowl can be divided equally among 19 or 13 or 28 children. How many is the minimum cherries in the bowl? - Theater

The theater has in each row with 19 seats. Ticket to the first 10 rows is for 30 USD. In next rows is for 15 USD. The theater was completely sold out. Revenue was 12255 USD. How many rows are in the theater? - Present

Gift box has rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover with square paper with sides of 18 cm. How much paper left him? - Wage

Increasing the minimum wage while maintaining the other parameters of the system, unemployment will be: - Camp

In the camp are children. 1/2 went on a trip, 1/4 went to bathe and 38 children remained in the room. How many children are in camp? - Bricks

Brick has volume 2.2 dm^{3}. How many bricks can drive truck with capacity 23 ton? The density of brick is 1.6 g/cm^{3}. - Maximum area of rhombus

Calculate the interior angles at which equilateral rhombus has a maximum area. - Greenhouses

Two workers would make installation of greenhouses for 54 hours. For how many hours does the installation 9 workers? - Gear

Two gears, fit into each other, has transfer 2:3. Centres of gears are spaced 82 cm. What are the radii of the gears? - Motion

Cyclist started at 9:00 from point S to point T. After 10 minutes, followed him at the same speed the second cyclist. Walker, which went from T to S, started at 9:35. After 71 minutes he met the first cyclist and after next 8 minutes the second cyclist. Di - Similarity

Are two right triangles similar to each other if the first one has a acute angle 70° and second one has acute angle 20°?

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