# Examples for 6th grade (the sixth graders)

- Dance ensemble

The dance ensemble took the stage in pairs. During dancing, the dancers gradually formed groups of four, six and nine. How many dancers have an ensemble? - The quotient

The quotient of g and 55 is the same as 279. What is g? - Two thirds

Find two-thirds of the number equal to two-thirds of 99 - Double 5

Peter was thinking of a number. Peter doubles it and gets an answer of 8.6. What was the original number? - Find the 6

Find the total cost of 10 computers at $ 2100 each and 7 boxes of diskettes at $12 each - Cage

How many m^{2}of mesh farmer use for fencing of a cuboid cage with dimensions 25m, 18m, and 2.5m? - Temperature 5

Temperature outside starts at 0 Fahrenheit. Over time the temperature changes at a rate of -0.6 Fahrenheit per hour. How long will it take for the temperature to reach -4.5 Fahrenheit? - Fractions 3

Calculate 1/9 of 27: - Lengths of the pool

Miguel swam 6 lengths of the pool. Mat swam 3 times as far as Miguel. Lionel swam 1/3 as far as Miguel. How many lengths did mat swim? - Children's pool

Children's pool at the swimming pool is 10m long, 5m wide and 50cm deep. Calculate: (a) how many m^{2}of tiles are needed for lining the perimeter walls of the pool? (b) how many hectoliters of water will fit into the pool? - Outside temperature

The temperature outside was 57 degree Fahrenheit. During the next few hours it decreased by 18 degrees and then increased by 23 degrees. Find new temperature. - Perimeter of square

The square has a circumference 17cm. What is its area? - Classmates

Roman is ranked 12th highest and eleventh lowest pupil. How many classmates does Roman have? - Edges or sides

Calculate the cube volume, if the sum of the lengths of all sides is 276 cm. - Evaluate expression 2

Evaluate expression with negatives: (-3)+4+(-8)+(-6)+4+(-1) - One hectare

How many square meters are one hectare? - Perpendicular prism

Calculate the volume of the perpendicular prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs. - Isosceles triangle

The circumference of the isosceles triangle is 32.5 dm. Base length is 153 cm. How long is the leg of this triangle? - Density of the concrete

Find the density of the concrete of the cuboid-shaped column has dimensions of 20 x 20 cm x 2 m if the weight of the column is 200 kg. - Tractors

5 tractors will plow the field for 8 hours. In 2 hours, 1 tractor broke down. How long do the remaining tractors complete the plow?

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