Math practice for 13 year olds - page 281 of 424
Number of problems found: 8477
- Granite sidewalk
On the sidewalk, 3 m wide and 8 m long, 2 m³ of mosaic stone (granite cubes) was used. The master of tiles had to pave the sidewalk 2.5 m wide and 65 m long. How much m³ of the stone does it consume?
- Compressive 6327
A force of 60 N acts on the smaller piston of a hydraulic press, 24 mm in diameter. What is the pressure in the liquid below the piston? How much compressive force is produced on the larger piston with a diameter of 420 mm?
- Encyclopedias 6325
The shelf contains 27 atlases, 29 dictionaries, eight textbooks, and 16 encyclopedias. What is the probability that a randomly selected book from this shelf is an encyclopedia? Give the result as a percentage.
- Together
If eight men, ten women, and 16 children collect ₹1024 in 4 days, how many days will be required for six men, five women, and four boys to collect ₹768? (₹ is Indian Rupee)
- Polynomial 6321
Simplify polynomial entry: (x + 2)² + (x-2) (x + 2)
- Transportation 6319
The pupils traveled on the trip by minibus, while the cost per participant was 15 euros. If they occupied the last 4 free seats in the minibus, the cost per participant would be reduced by 3 euros. What was the total cost of minibus transportation?
- Oranges
The mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there?
- Twenty-three-year-old 6317
The average age of the first five hockey players was 22 years. The coach replaced the twenty-three-year-old player with a younger one, which lowered the average age of the first five hockey players to 21 years. How old is the new player?
- A box
A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the diagonal S of the bottom side? What is the length of the body diagonal R?
- Entrepreneur 6309
Renting a 1m² advertising board costs €780 per month. A rectangular advertising board has a length of 3 m and its diagonal makes an angle of 34 degrees with the longer side. Calculate how much € an entrepreneur will pay for 4 months of renting a blackboar
- Triangles
Hanka cut the 20 cm long straws into three pieces. Each piece had a length in cm. Then, with these three pieces, she tried to make a triangle. a) What circuit has each of the triangles? b) How long can the longest side measure? c) How many different trian
- Equilateral 6306
We composed the diamond of four equilateral triangles with a side length of 7 cm. What's his circuit?
- Distribute 6298
Sixteen employees will distribute leaflets in 12 days. How long will it take if, after four breaths, six workers go to work elsewhere?
- Horizontally 6296
The camera with a viewing angle of 120 ° was placed horizontally on the observatory at 30 m. What length d of the section at the tower's base can the camera not capture?
- Concerning 6294
Two isosceles triangles have the same angle at the apex concerning the base. One has a 17 cm long arm and a 10 cm long base. The second has a base length of 8 cm. Determine the length of his arm.
- Cylinder-shaped 6293
There is half a liter of water in the cylinder-shaped bottle. The bottle has an inner diameter of 10 cm. What is the area of the wetted part of the bottle?
- Diameter 6289
A circle with the largest possible diameter is cut from a square with a side length of 35 cm. What percent of the square area is waste?
- Parallelogram 6288
Find the interior angles of the parallelogram if you know that one of them is 50 degrees larger than the other.
- Regular quadrangular pyramid
The height of the regular quadrangular pyramid is 6 cm, and the length of the base is 4 cm. What is the angle between the ABV and BCV planes? ABCD is the base, V is the vertex.
- The sides
The sides of a rectangle are in a ratio of 2:3, and its perimeter is 1 1/4 inches. What are the lengths of its side? Draw it.
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