Problems for 6th grade (the sixth graders) - page 28
- Wood planks
1 m3 of wood planks costs 179 EUR. How much will I pay for 11 planks measuring 6 cm, 10 cm and 6 m?
Wood density is 0.6 g/cm3. How many kilograms weight 1 m3 of wood?
What is the price of square carpet side length 3.25 m if one meter square cost 230 CZK?
- Infants water
From the tank, which has 10 hectoliters of water for infants, went 580 liters at mornening and 340 liters in the afternoon. How many liters left in the tank?
- 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 cm2. What was its original length if the original wid
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?
The length of one side of the rectangle is three times the length of the second side. What are the dimensions of the rectangle if its circumference 96 cm?
- 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?
- 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?
- Bicycle wheels
Driving wheel of a bicycle has 54 teeth. The driven wheel has 22 teeth. After how many revolutions will meet the same teeth?
- Grandmother and grandfather
Grandmother baked cakes. Grandfather ate half, then quarter of the rest ate Peter and Paul ate half of rest. For parents left 6 cakes. How many cakes maked the grandmother?
- 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.
The rectangle area is 182 dm2, its base is 14 dm. How long is the other side? Calculate its perimeter.
Find all five-digit numbers that can be created from numbers 12345 so that the numbers are not repeated and then numbers with repeated digits. Give the calculation.
- 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
- Clock Tower
What angle is betwenn hands on Clock Tower when show 17 hours and 35 minutes?
- Fe vs. H2O
The volume of what the body of the same weight is greater - iron or water?
Calculate the area of two circles annulus k1 (S, 3 cm) and k2 (S, 5 cm).
- Hexadecimal number
What will be hexadecimal number 303 as decimal number?