Maths practice for 14 year olds - page 240 of 361
Number of problems found: 7214
- Pyramid measurements
The regular quadrilateral pyramid is 2 m high. The height of the sidewall is 2.8 m. What are the dimensions of the base? Calculate the surface area and volume of the pyramid. - Pyramid measurements
A regular hexagonal pyramid has a base edge of 20 cm and a lateral edge of 40 cm. Calculate the height and surface area of the pyramid. - Hydraulic press
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? - Probability of Encyclopedia
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 ₹1,024 in 4 days, how many days will six men, five women, and four boys need to collect ₹768? (₹ is the Indian Rupee.) - 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? - 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? - Triangle Sides Perimeter
The triangle has a circumference of 35 cm. The first side is four centimeters larger than the second and, at the same time, 1 cm larger than the third side. Determine the sides of the triangle. - Advertising Board Rent Cost
Renting a 1 m² 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 blackboa - Diamond - Equilateral Triangles
We composed the diamond of four equilateral triangles with a side length of 7 cm. What is its perimeter? - Hypotenuse - RT
A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle? - Camera Blind Spot Length
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? - A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm? - Triangle arm
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. - Wetted Bottle Area
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? - Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8 cm. Calculate the circumference and the hexagon area. - Waste from Cutting Circle
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 Interior Angles
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 quadrilateral 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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