# Examples for 6th grade (the sixth graders)

#### Number of problems found: 1355

- Ferris wheel

Ferris wheel reaches to 22 m tall and moves at the speed of 0.5m/s. During one drive wheel rotates three times. What is the total drive time? - Gardeners

Gardeners pays to city for the lease of one square meter of land CZK 3. How much to pay each year? a) for 2 hectares b) 2 are 150 m^{2} - Plumber

Plumber had to cut the metal strip with dimensions 380 cm and 60 cm to the largest squares so that no waste. Calculate the length of the sides of a square. How many squares cut it? - 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? - Spartakiada

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? - Tons of coal

Coal hopper has a capacity of 285 liters. How many tons is it? The bulk density of coal is 916 kg/m^{3}. - Troops

If the general sorts troops into the crowd by nine left 6. How many soldiers has regiment if we know that they are less than 300? - Tank

To cuboid tank whose bottom has dimensions of 9 m and 15 m were flow 1080 hectoliters of water. This was filled 40% of the tank volume. Calculate the depth of the tank. - Camp

In a class are 26 children. During the holidays 16 children were in the camps and 14 children on holiday with their parents. Determine the minimum and maximum number of children that may have been in the camp and on holiday with their parents at the same - 7th grade pupils

Pupils doing research which a winter sport do their classmates most popular. They found that 2/5 of classmates would most like to play hockey, skate prefer 2/9 pupils, 3/10 students prefer skiing and 1/15 classmates don't like any winter sport. What propo - Homework

The monthly fee for the phone is 12 USD and for phone unit 0.08 USD. How much family pay phone in the first quarter Q1, if on January 1 had on the counter 97362 units and on April 1 97946 units. - Water in body

Water in the human organism of all the compounds represented, constitutes about 3/5 of the total weight. How many kilograms of water is in your body when you weigh 51 kg? - Car model

Car model is 52 mm long and the real car is 4524 mm long. What was the scale of model car? - Speed of sound

The average speed of sound is 330 meters per second. Estimate how long it will hear the church bell 1 km away. Calculate the distance from what would hear sound after 10 seconds. - Count of roots

How many solutions has equation x. y = 7757 with two unknowns on the set of natural numbers? - Circle - simple

The circumference of a circle is 198 mm. How long in mm is its diameter? - 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?

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