Maths practice for 12-year-olds - page 187 of 347

Number of problems found: 6923

Integer cube
The length of the cube edge is an integer. Its volume is in cm³, a five-digit number divisible by 1331. What is the length of the edge of this cube?
Rhombus height calculation
Calculate the height of the rhombus ABCD on the side a if a = 58 dm and its area is 49.3 m²
Triangle angle ratio
Calculate the magnitudes of the interior angles of a triangle if you know that these are in a 2:3:5 ratio.
Equation solving
Equation: 6 (x + 1) -4 (2x + 3) = 7 (x-1) +5 (9-x)
Rhombus calculation complete
The rhombus has the dimensions a = 9.1 cm; b = 8 cm; height to side a: va = 7.3 cm. Calculate the perimeter, area, and size of the second height.
Money ratio division
Divide 910 CZK in a ratio of 3:4
Ages ratio
The father is 36 years old, and his daughter is four years old. Write down the ratio of father and daughter's ages. What will be the age of the father and daughter in four years?
Dividing money
Milan divided 360 euros in the ratio of 4:5, Erik in the ratio of 500:625. How many euros did the individual parts of Milan, and how many Erik?
Garden rain calculation
In the garden of 860 square meters, 4 millimeters of water rained down. How many 10-liter pitchers would we pour this mystery on just as heavily?
Candies
There are 150 candies in the bowl. Ivan took seven thirtieths, Charles six fifteenths, and Thomas three-tenths, leaving 150 sweets in the bowl.
Cylinder surface calculation
The circle's diameter of the cylinder base is 6 cm, and its volume is 282.6 cm³. Calculate the cylinder surface.
Sapling watering distance
Twenty young saplings are planted in a row at a distance of 4.5 meters from each other. There is a well by one of the outermost trees. How many meters do we walk when watering trees if we use two watering cans and one is enough to water two trees?
One-third of the rod
The 7-meter-long rod has one-third of its length in the ground and a quarter in the water. How many meters of the rod are not in the water or the ground?
Diamond side calculation
The area of the diamond is 112 cm², and the length of its side is given by the expression x + 5 cm. Calculate this length if the height of the diamond is v = 7 cm.
Harvester calculation time
During the harvest, farmers had three combine harvesters available, with which they could harvest the fields in 9 hours. How long will it take if two additional harvesters arrive from a neighbouring farm to help?
Jana height calculation
Jana measures 4/5 of Dad's height. Mom measures 160cm, which is 1/4 less than Dad. What is Jan's height?
Water tank calculation
The water tank has the shape of a block. The inner length is 5.2 meters, the width is 2.4 meters, and the depth is 1.5 meters. If the tank is filled to 3/5 of its depth, how many liters of water does it contain?
Pump water tank
The pressure pump delivers two cubic meters of water to the block-shaped water tank in 1 minute. The tank has a 7 m and a width of 5 meters. How much water does it draw in 1 hour? How high does the water reach in the tank?
Cuboid walls
The block's base is a rectangle whose sides have lengths in the ratio of 13:7. Find the volume of the block in liters if the longer side of the base measures 65 cm and the height of the block is 1.2 m
Tank filling time
The pump delivers 34 hl of water per minute. How long does it take to fill the tank with a volume of 10m³? Write the result in hours and minutes.

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