# Examples for 6th grade (the sixth graders)

#### Number of problems found: 1387

- Dropped sheets

Three consecutive sheets dropped from the book. The sum of the numbers on the pages of the dropped sheets is 273. What number has the last page of the dropped sheets? - How much

How much money will we pay for 20 planks 4m long, 15cm wide and 26mm thick when 1m³ of wood costs 4500kč? - Map scale

The rectangular plot has in a scale of 1: 10000 area 3 cm^{2}on the map. What content does this plot have on a 1:5000 scale map? - A number

A number increased by 7.9 is 8.3 - Hr to min

Sue biked to school in 5/12 of an hour. How many minutes did it take her to ride to school? - Two numbers 6

Fill two natural numbers a, b: 7 + blank- blank = 5 - Cylinder-shaped vase

If the cylinder-shaped vase is filled with water up to 35 cm, it contains 1 liter of water. How much water will it contain if it is filled to a height of 45cm? - Zdeněk

Zdeněk picked up 15 l of water from a 100-liter full-water barrel. Write a fraction of what part of Zdeněk's water he picked. - Toilets

A federal law requires that all residential toilets sold in the United States use no more than 1 3/5 gallons of water per flush. Prior to this legislation, conventional toilets used 3 2/5 gallons of water per flush. Find the amount of water saved in one y - Volume of cone

Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm. - Annual rainfall

The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field? - Table

Find the circumference of the table, where the long side is 1.28 meters and the short side is 86 cm. - Babysitting

The amount that Susan charges per hour for babysitting are directly proportional to the number of children she is watching. She charges $4.50 for 3 kids. How much would she charge to babysit 5 kids? - Scale of the map

The distance between two cities is actually 30 km and the map is 6 cm. What is the scale of the map? - Steps

Peter walked a distance of 60 m 102 steps. How many steps must he take to walk 150 m? - Flour

Kim needs 3/4 cup of flour to make 12 cookies. How much flour would she need to make 60 cookies? - Temperature 2

Sunday's high temperature was 3 degrees higher than Saturday's. On Monday, the temperature fell 5 degrees, then rose 7 degrees on Tuesday and 4 more on Wednesday. Then it fell 17 degrees to a record low of 31 on Thursday. What was the temperature on Satur - Breads

Several pieces of bread were in the store. Half of them plus a half of bread bought a cookbook. Of the remaining bread, half of it plus half of the bread was bought by Mr. Novák. The last bread was bought by Ms. Small. How many breads were in the store at - MW oven

You plug a microwave oven into a 20 amp electrical circuit. the microwave uses as much as 12.5 amps . How many amps are available on this circuit for other appliances? - Railroad

The railroad runs parallel to the railway. The train travels at 36 km/h on track. In the opposite direction, the motorcycle rides at 90 km/h. The train passes in 3 seconds. How long is a train?

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