Maths practice for 12-year-olds - page 56 of 351
Number of problems found: 7011
- Determine 82724
A right triangle has an area of 36 cm². A square is placed in it so that two sides of the square are parts of two sides of a triangle, and one vertex of the square is in a third of the longest side. Determine the area of this square.
- Part-timer
Seven part-timers paint 280 m of railings in 5 hours. How many meters of railing will nine part-timers paint in 4 hours?
- Calculate 82700
A cone of rotation with a radius of 32 cm and side length s = 65 cm is given. Calculate the surface area and volume.
- Expression 82698
Calculate the value of the expression V = 3x²- 2x + 3 for x = -2.
- Calculate cone - r,h
A rotation cone with a radius of 24 cm and a height of 36 cm is given. Calculate the surface area and volume.
- Soda bottles factory
Two different filling machines fill soda bottles to order. If the first machine worked alone, it would need a third less time to complete the order. How long would it take each machine to complete the job independently if the faster machine worked for 96
- Different 82683
There are candies from 1 to 10 in ten different packages. Each child took two packages. They got so many candies: Anka: 5 Zuzka: 7 Katka: 9 Monica: 15 How many candies does Lucka have?
- Remaining
Mom baked buns for dinner. Dad ate 1/3 of them. Then Jurko came and ate a quarter of the remaining buns. After Jurko came to Martin, who ate a third of the remaining buns. Anka ate half of the remaining buns and Mom was left with four buns. How many buns
- Greater 82662
Five times its number is as much greater than 50 as its half is less than 49.
- Line segments
Triangle ABC is divided by line segments. Lines DE and AB are parallel. Triangles CDH, CHI, CIE, and FIH have the same area, namely 8 dm². Find the area of quadrilateral AFHD.
- Efficient 82615
Six maids in a hotel make 200 beds in 2 hours. Calculate how long five equally efficient maids would take to make these beds. Enter the result in minutes. Calculate how long three equally efficient maids would take to make 100 identical beds. Express the
- Merry-go-round 82611
Calculate the magnitude of the angular velocity of the seat of a merry-go-round moving in uniform motion in a circle with an orbital period of 0.2 minutes.
- Traveled journey
The tourist traveled 3/8 of the planned journey on the first day and 7/12 of the trip on the second day. On which day did he travel most of the way, and by how much?
- Container 82608
The container was filled with water. Peter poured out 2/9 of the water, and Katka poured out 1/6 of the water. What fraction of the water remained in the container?
- Minutes 82607
A) how many kg is 4/5 tons more than 7/10 tons? b) by how many minutes is 1/3 of an hour less than 5/6 of an hour?
- Cube-shaped 82606
The paper box is cube-shaped. 2400 cm² was used for its production. Bends for gluing the walls are omitted. What is the volume of the box?
- Dimensions 82590
We are to fill an aquarium with a bottom dimension of 30 cm x 30 cm with water. How many liters of water will we need if we pour water to a height of 20 cm?
- Rectangular 82582
We have to pave the smallest possible square with rectangular tiles with 168 cm and 280 cm sides. What will its side of the square be?
- Two-thirds 82565
Karol spent half of his pocket money. He gave two-thirds of the rest to his friend Michal. He had 50 CZK left from his pocket money. A. Calculate how much money Karol gave Michal. B. Calculate how much money Karol received as pocket money.
- Calculate 82549
The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid.
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