Maths practice for 12-year-olds - page 171 of 352
Number of problems found: 7031
- Originally 29121
To what extent has production changed when they originally produced 2,400 products in 1 hour and now produced 2,640 products?
- 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.
- Long drive
Calculate how much it costs to drive 150,000 km with an average consumption of 7 liters per 100 km and a fuel price of 1.2 € / l.
- 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.
- Delivered 28881
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
- Magic bag
The number of tolars in the magic bag doubled each time the prince crossed the bridge. But then the devil always conjured 300 tolars for him. When this happened for the third time, the prince had twice as much as he had in the beginning. How many tolars d
- 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?
- Traveling 28813
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 weight of a metal reservoir - cylinder with a diameter of 2 m and a length of 8 m if 1 m² of sheet metal weighs 100 kg?
- You have
You have four reindeer and want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer?
- 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 '.
- Grandchildren 28641
Mr. Novák 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
- Triangle 28611
The land has a triangle shape with sides of 300m, 200m, and 245m. Draw it on a scale of 1:5,000.
- Three-quarters 28581
Jarek went for a one-day strawberry picking. In the morning, he collected two-fifths of the required amount; in the afternoon, he collected 5 kilograms less than in the morning, and in total, he collected three-quarters of the required amount. How many ki
- 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.
- Cylinder-shaped 28531
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's 28511
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.
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