# Examples for 6th grade (the sixth graders) - page 13

- Jan

Jan is 13 years and Peter 21 years old. For how many years will their ages in the ratio of 7:9? - Angles 1

It is true neighboring angles have not common arm? - Juice box

The juice box has a volume of 200ml with its base is an isosceles triangle with sides a = 4,5cm and a height of 3,4cm. How tall is the box? - Work

Workers works 5 days a week and has 21 days of vacation a year. Calculate how many days is out of work and express it as a percentage. Consider that a year has 52 weeks. - Tourist

Tourist walk at 4.1 km/h. Every 5 km have 20-minute break. How many kilometers passed, when started at 4:40 and finished at 10:30? - Swimming pool 4

The pool shaped cuboid measuring 12.5 m × 640 cm at the bottom is 960hl water. To what height in meters reaches the water level? - Chalet

The children were on a school trip to the mountain . One third of the journey went by the train and continue by bus. When you get off the bus, they remained a third of the distance they traveled by bus. What part of journey children went by the bus (wrote - Quotient

Determine the quotient (q) and the remainder (r) from division numbers 100 and 8. Take the test of correctness. - About what

How much and how many times is 72.1 greater than 0.00721? - Liquid soap

Three-member family enough liter of liquid soap for 20 days. After how many days the amount consumed when at the holidays come to us two cousins. - Pool coating

How many pieces of tiles 25 cm × 15 cm need to coat the bottom and side walls of the pool with bottom dimensions 30 m × 5 m, if the pool can fit up to 271500 liters of water? - Addition of Roman numbers

Added together and write as decimal number: LXVII + MLXIV - Triangle

Prove whether you can construct a triangle ABC, if a=9 cm, b=6 cm, c=10 cm. - 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? - Shape

Plane shape has a maximum area 677 mm^{2}. Calculate its perimeter if perimeter is the smallest possible. - 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? - Trains

Daily passes the same track section 8 pairs of trains with average 2400 passagers. How many people average travel in one train? - Unknown integer

Find the smallest integer that: divided by 2, the remainder is 1 divided by 3 the remainder is 2, divided by 4 remainder is 3, ... divided by eight reminder is 7, by 9 reminder is 8. - Milimeters

The pool is 6 meters long, 3 meters wide and the water in it is filled with water to a height 1.7 m. When John jumped into it and completely submerged, the level has risen by 5.4 mm. How much weight John when we know that one liter of the human body weighs - Minute-hand

How long distance will travel a large (minute) hand on the clock for 47 minutes, if its length is 43 cm?

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