# Examples for 6th grade (the sixth graders) - page 37

- Bag

Nelly found interesting point. An empty bag weighs 4 kg less than full. And empty bag is 5 times easier than full. How many kg weigh things in this bag? - Biketrial

Kamil was biketrial. Before hill he set the forward gear with 42 teeth and the back with 35 teeth. After how many exercises (rotation) of the front wheel both wheels reach the same position? - Surface of cuboid

Find the surface of the cuboid if its volume is 52.8 cm^{3}and the length of its two edges is 2 cm and 6 cm. - Cheetah

Cheetah elapse 150 m for 5 seconds, the eagle reaches speeds up to 230 km/h, dolphin swims 1.2 km per minute. Which animal is the fastest and slowest? The results write as meters per second (m/s). - Cakes

On the bowl were a few cakes. Jane ate one-third of them, Dana ate a quarter of those cakes that remained. a) What part (of the original number of cakes) Dana ate? b) At least how many cakes could be (initially) on thebowl? - Tram lines

Trams of five lines driven at intervals of 5,8,10,12 and 15 minutes. At 12 o'clock come out of the station at the same time. About how many hours again all meet? How many times have earch tram pass for this stop? - Sheet of paper

Is the sheet of paper measuring 18 and 25 cm enough for taping 9 cm cubes with an edge? (1 = yes, 0 = no) - Tiles

It is given an area of 5m x 4m One tile is 40 x 40 cm How many tiles are needed in an area of 5 m x 4 m? And how many tiles need to be cut (if it not possible for the tiles to fall exactly)? - Flood water

Flood waters in some US village meant that the homes had to evacuate 364 people. 50 of them stayed at elementary schools, 59 them slept with their friends and others went to relatives. How many people have gone to relatives? - Paper squares

The paper rectangle measuring 69 cm and 46 cm should be cut into as many squares as possible. Calculate the lengths of squares and their number. - The door

The door to the apartment has a height 2 m and a width 80 cm. Calculate how many cm of sealing tape is needed to seal them. Will there be enough packaging in which there are 5 m tape (write 0 = no, 1 = yes)? - Gasoline

How many liters of gas is in the tank if its weight 15.4kg. Specific density of gasoline is 770kg/m3. - Minutes

Determine the difference in minutes: T_{1}= 2 3/20 h T_{2}= 2.3 h - Summerjobs

The agency give summerjobs for 2352 students in 2018. The eighth was high-school students, the rest was undergraduates. How many undergraduates works via agency in 2018? - Tailor master

There are less than 50m of textile in the tailoring workshop. When cutting on a blouse (consumption 1.5m), no textile is left. When using a cloth (consumption of 3.2m), no textile is left. How many meters of textile are in a tailor's workshop? - Liter of gold

What weight does 1 dm^{3}of gold have? Gold density is 19,300 kg / m^{3} - Cyclist and car

A cyclist who runs at a speed of 20km per hour will arrive at the finish in 4.5 hours. How fast does the car have to drive the same route in 2 hours? - Italian writer

There were 17 children in the barracks with an Italian writer. 6 children ordered a book in an Italian original and 12 children in the translation. How many children ordered a book in both languages if the three children did not order it? - Two monuments

The distance between two historical monuments on a map with a scale of 1: 500000 is 48 mm. Find the actual distance between these monuments in km. - Equation algebraogram

Solve the equation: oco + ivo = cita How much has the task of solutions?

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