# Problems for 6th grade (the sixth graders) - page 25

- Area

Calculate: ? - Triangle ABC

In a triangle ABC side b measure 10 cm less than the side a and side b is half of the side c. Calculate the length of sides if the circumference of the triangle is 42 cm. - Two friends

Two friends met as a good man perish together for a beer. After recovery the most important topics (politics, women, football ...), one asks: - And how many do you have children? - I have 3 children. - And how many years have? Friend already not want to an - Gearing

Gearing consists of two wheels, one is 88 and second 56 teeth. How many times turns smaller wheel to fit the same teeth as in the beginning? How many times will turn biggest wheel? - Birds

On the farm they have a total of 110 birds. Geese and turkeys together is 47. Hens is three times more than the turkey. How much is poultry by species? - Surface area

Calculate the surface area of a four-sides 2-m high prism which base is a rectangle with sides 17 cm and 1.3 dm - Water reservoir

The water tank has a cuboid with edges a= 1 m, b=2 m , c = 1 m. Calculate how many centimeters of water level falls, if we fill fifteen 12 liters cans. - Matches

George poured out of the box matches and composing them triangles and no match was left. Then he tries squares, hexagons and octagons and no match was left. How many matches must be at least in the box? - 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? - Building

Lenka has 22 cubes for the construction of building comprising three cubes in height, the width of two cubes, and the length of four cubes. Is she able to build an building with these cubes? - Dressmaker

Dressmaker left a piece of canvas shorter than 5 meters. She is deciding whether it sew a skirt or dress. The canvas was exactly as much as they consumed had cut up her skirt to 120 cm, or 180 centimeters dress. What a piece of canvas left her? - Table 3x3

Table with numbers 3x3 in the first row 66,24,33 in the second row 57,? 19 in the third row 18,45,60 What number comes ar mark ?. Maybe the numbers: 22,46,45,47 - The classroom

In the seventh class the number of boys and girls are at a ratio of 4:5. Boys are 16. How many total students are in the classroom? - Tripled square

If you tripled the length of the sides of the square ABCD you increases its content by 200 cm^{2}. How long is the side of the square ABCD? - Monthly payments

Novákovi pay for electricity and monthly pays at the end of the year still bill 34 USD. Total per year pay 618 USD. What were their monthly payments? - Friends

Five mates traveled and the journey they lasted 195 minutes. How long would travel only one of them? - Photo egative

Negative dimensions are 36mm and 28mm. What will be the photo size in the 21:4 ratio? - Three buses

Three public transport buses depart together from the bus station in the morning. The first bus was returning to the station after 18 minutes, the second after 12 minutes and a third after 24 minutes. How long will again together on the station? Result exp - Trams 2

Square passes two lines of tram. One running every nine minutes, a second interval of 15 minutes. Exactly at 12 o'clock arrived two tram lines in the square. How soon should a similar situation arise again? - Cheaper cars

State-owned railway company buys 10 air-conditioned coaches for nearly 18 million euros. Calculate how many euros is the equivalent of one seat in the wagon with a capacity of 83 people. How many of used cars at the price 2700 Euros can be buy instead o

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