Maths practice for 12-year-olds - page 174 of 351
Number of problems found: 7018
- Water level
What is the area of the pool's water level after filling 25 m³ of water level by 10 cm? a) 25 m² b) 250 m² c) 2500 dm² d) 25,000 cm2 - Milk cartons
How much paper do we need for 12 tetra packs with 6 cm, 11 cm, and 20 cm dimensions? Will 1 liter of milk fit in the box? - Height
The area of the triangle is 35 cm². The length of the base is 10 cm. Determine the length of the height on the base. - Chimney and tree
Calculate the height of the factory chimney, which casts a shadow of 6.5 m long in the afternoon. At the same time, a 6 m high tree standing near it casts a shadow 25 dm long. - Can delivery calculation
They delivered the same number of cans of stuffed cabbage leaves and leche with sausage to the store. On the first day, they sold 10 cans of cabbage leaves and 85 cans of leche. So there were six times more cans of cabbage leaves than cans of leche. How m - Similar triangles
Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. What is the length of the sides of the triangle A'B'C' if its circumference is 80 cm? - Speedboat ship pursuit
The ship set sail at 6 A.M. and traveled at a speed of 16 km per hour. At 8:30 A.M., a speedboat was sent behind her, traveling 24 miles per hour. When will the boat catch up? - Water reservoir
What is the mass of a metal cylinder-shaped reservoir with a diameter of 2 m and a length of 8 m, if 1 m² of sheet metal weighs 100 kg? - Midnight 2
It was 8 degrees at nightfall. The temperature dropped 10 degrees by midnight. What was the temperature at midnight? - Wooden block
A cuboid-shaped wooden block has a 6 cm length, 4 cm breadth, and 1 cm height. Two faces measuring 4 cm x 1 cm are colored in black. Two faces measuring 6 cm x 1 cm are colored in red. Two faces measuring 6 cm x 4 cm are colored in green. The block is div - The triangles
The triangles ABC and A'B'C 'are similar, with a similarity coefficient of 2. The angles of the triangle ABC are alpha = 35° and beta = 48°. Determine the magnitudes of all angles of triangle A'B'C '. - Money age distribution
Mr. Smith wants to distribute CZK 1,600 among his grandchildren. They divide the amount according to their age. The two grandchildren are 15 years old. The remaining two are 12 and six years old. How many crowns will each of the boys receive? - Similar triangles
The triangles ABC and XYZ are similar. Find the unknown lengths of the sides of the triangles. a) a = 5 cm b = 8 cm x = 7.5 cm z = 9 cm b) a = 9 cm c = 12 cm y = 10 cm z = 8 cm c) b = 4 cm c = 8 cm x = 4.5 cm z = 6 cm - Land scale drawing The land has a triangle shape with sides of 300 m, 200 m, and 245 m. Draw it on a scale of 1:5,000.
- Weight
The kilogram weight has a volume of 116 ml. From which material is it probably made? Use substance density tables, e. G. mathematical-physical-chemical tables. - Tank height calculation
The diameter of the bottom of the cylinder-shaped tank is 6 m. Its volume is 1500 m³. What is the height of the tank to about two decimal places? - Tablecloth diameter calculation
The round tabletop has a capacity of 2.01 m². Calculate the diameter of the round tablecloth if it exceeds the table's edge by 25 cm. - Pyramid weight calculation
Calculate the weight of a regular quadrilateral pyramid with a base edge of 4 cm in length and a body height of 6 cm if it is made of a material density of 8 g/cm³. - Balloon material calculation
How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³? - Aquarium water calculation
The aquarium has a bottom in the shape of a square a = 8 dm. How many liters of water flowed into it if its level rose by 10 cm?
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