Maths practice for 14 year olds - page 243 of 368

Number of problems found: 7349

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?
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?
Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area.
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.
Alice
Alice spent 5/11 of her money on a backpack. She has 42 dollars left. How much was her backpack?
A boy
A boy of 1.7m in height is standing 30m away from the flagstaff on the same level ground. He observes that the angle of deviation of the top of the flagstaff is 30 degrees. Calculate the height of the flagstaff.
Rectangles 6279
Reduce the dimensions of the rectangle with dimensions of 21 cm and 3 dm in a ratio of 4:6. In what proportion will the areas of both rectangles be?
Birthday 6277
Peter got a new bike for his birthday. His bike was equipped with many gears. How many gear options does Peter have if you have three wheels at the front and eight wheels at the back? List them all
Block-shaped 6276
288hl of water was filled into a block-shaped tank with bottom dimensions of 12 m and 6 m and a depth of 2 m. What percentage of the volume of the tank did the water occupy?
Dimensions 6264
Calculate the length of the body diagonal of a block whose dimensions are a = 5cm, b = 6cm, c = 10cm.
A regular
A regular triangular prism with a base edge of 20 dm and a height of 30 dm is drawn. Find the volume of the prism and the area of the shell.
Prism and wall diagonal
The ABCDA'B'C'D' prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC' is 11.4 cm long. Calculate the surface area and volume of the prism.
Discounted 6258
The women's sweater was discounted twice. First 10% later by 10% of the new price, its final price was 324 CZK. Determine the price of the sweater.
Rectangular 6255
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The connection of the centers of the adjacent sides is 20 m long. Calculate the perimeter and area of the rectangle.
Perimeter 6254
Perimeter and area of the rectangle. Diagonal 260m and one side 150m
Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm square and the side length is 13 cm.

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