# Examples for 6th grade (the sixth graders)

#### Number of problems found: 1299

- Painters

15 painters painted fence for 280 minutes. For how many minutes paint half of this fence 12 painters? - Pytagoriade

Two fifth-graders teams competing in math competitions - in Mathematical Olympiad and Pytagoriade. Of the 33 students competed in at least one of the contest 22 students. Students who competed only in Pytagoriade was twice more than those who just compete - Pizza master

Master says that he can splits pizza to 16 parts by five equals straight cuts. Is it possible? - Number

I think the number. If I add to its third seven I get same as when to its quarter add 8. Which is the number? - Log

Worker cut his thick log to 6 pieces for 30 min. How long he cut log to 12 pieces? - The pot

The pot is in 1/3 filled with water. Bottom of the pot has an area of 329 cm^{2}. How many centimeters rises water level in the pot after add 1.2 liters of water? - Potatoes

Could 446 tons of potatoes (ρ = 771 kg/m³) fits in a warehouse with a volume of 699 m³ ? - Hostel

Students are accommodated in 22 rooms. Rooms were 4 and 6 bed. How many rooms in which type occupied 106 children there? - Playing Cards

Kara has 2 times more cards than Dana, Dana has 4× less than Mary. Together they have 728 cards. How many cards has each of them? - After 16 years

After 16 years will Dana be five times older as she was four years ago. After how many years will Dana celebrate her 16th birthday? - Line

How many parts of line divide 5 (different) points that lie on it? - Trees

3/5 trees are apples, cherries are 1/3. 5 trees are pear. How many is the total number of trees? - Wood planks

1 m^{3}of wood planks costs 179 EUR. How much will I pay for 11 planks measuring 6 cm, 10 cm and 6 m? - 6-gon

Perimeter of regular hexagon is 113. Calculate its circumradius (radius of circumscribed circle). - With bracket

Calculate (evaluate) simple mathematical expression with a negative numbers and a bracket: 13+15*5-2*(-6) - 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°? - Sales off

Calculate what was the original price of the good, if the price after discount 25% and the subsequent rise of 20% is 400 USD. - Cast brass

Brass cast weight was 3.84 kg, it had turned into piston weight 3.491 kg. How many grams of brass was turned off? - Buses

At the bus stop is at 10 o'clock met buses No. 2 and No. 9. Bus number 2 runs at an interval of 4 minutes and the bus number 9 at intervals of 9 minutes. How many times the bus meet to 18:00 local time? - Digits of age

The product of the digits of Andrew age as 6 years ago and not equal to 0. Andrew age is also the smallest possible age with this two conditions. After how many years will be the product of the digits of Andrew age again the same as today?

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