# Examples for 6th grade (the sixth graders) - page 28

- Magic belt

The magic rectangular belt has the property that whenever its owner wants something, the length of the belt is reduced to 1/2 and the width to 1/3. After three such wishes, the belt had a content area 4 cm^{2}. What was its original length if the original wid - Trams

Tram no. 3,7,10,11 rode together from the depot at 5am. Tram No. 3 returns after 2 hours, tram No. 7 an hour and half, no. 10 in 45 minutes and no. 11 in 30 minutes. For how many minutes and when these trams meet again? - Jan and Dan

Jan and Dan had the same money. Jan bought 5 workbooks and left him 15 CZK. Dan 6 and left him nothing. How much money have in total? - Land cost

The land is worth 33295 CZK. 1st owner has 5/15, 2nd owner has 4/15, 3rd owner has 1/5 4th owner has 1/5. How much CZK each of them will receive? - Pool in litres

Pool has a width of 3.5 m length of 6 m and a height 1.60 meters. Calculate pool volume in liters. - Angles in triangle

Calculate the alpha angle in the triangle if beta is 61 degrees and 98 gamma degrees. - Clock Tower

What angle is betwenn hands on Clock Tower when show 17 hours and 35 minutes? - Rectangle

The rectangle area is 182 dm^{2}, its base is 14 dm. How long is the other side? Calculate its perimeter. - Annulus

Calculate the area of two circles annulus k_{1}(S, 3 cm) and k_{2}(S, 5 cm). - Fe vs. H2O

The volume of what the body of the same weight is greater - iron or water? - 7th grade pupils

Pupils doing research which a winter sport do their classmates most popular. They found that 2/5 of classmates would most like to play hockey, skate prefer 2/9 pupils, 3/10 students prefer skiing and 1/15 classmates don't like any winter sport. What pro - Time adding

Add and write the result again as hours, minutes, seconds: 2hodiny45min15s + 1h20m50s = - Bricks II

3/4 bricks weighs 6 kg and 2/3 bricks. How weighs one whole brick? - Hexadecimal number

What will be hexadecimal number 303 as decimal number? - Janka and Danka

Janka and Danka began to read the same day the books. Janka had 276 pages, Danka 204 pages. They agreed that both read every day the same number of pages until theirs books read. A) How many maximum pages they had to read the day to honor their agreement? - Apples 2

How many minimum apples are in the cart, if possible is completely divided into packages of 6, 14 and 21 apples? - Competition

The organizers of competion wanted to spent big amount of money to pay for the competitors. One third of this amount spent on prizes and the remaining € 5,000 to diplomas. How much was committed for rewards? - Moneys in triple ratio

Milan, John and Lili have a total 344 euros. Their amounts are in the ratio 1:2:5. Determine how much each of them has? - Sweets

Mom bought box of sweets for their children.Whole package of 100 sweets divided among 4 their children so that each child receives the most and for she remains the least sweets. How many sweets left for mom. - Christmas trees

Salesman sold Christmas trees: spruce for € 22, pine for € 25 and fir for € 33. At the morning he had the same number of spruce, fir and pine. At the evening he had all the trees entirely sold for € 3,600. How many trees that day salesman sold?

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