Math practice for 13 year olds - page 276 of 422

Number of problems found: 8427

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.
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?
Cuboid and cube
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies.
Simultaneously 6272
The first inflow fills the tank in 4 hours and the second tributary in 6 hours. How long will it take to fill both tributaries simultaneously, but the species will start an hour later?
Calculate 6268
Calculate the unknown velocity x if: 24 km/h. ... . .. .20min x km/h. ... . .. .12min
Production 6266
They produced a total of 7,290 light bulbs in three workshops. How much did each workshop produce when we write their production in the ratio of 2:3:4
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.
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.
Exchanged 6256
Pupils exchanged pencils, erasers, and pens so that there were two pens for 15 pencils and three pencils for two erasers. How many erasers were there for one pen?
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.
Shadow of tree
Miro stands under a tree and watches its shadow and shadow of the tree. Miro is 180 cm tall, and its shade is 1.5 m long. The tree's shadow is three times as long as Miro's shadow. How tall is the tree in meters?

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