Math practice for 13 year olds - page 197 of 413
Number of problems found: 8260
- Skis
Skis, which cost € 800, became 25% more expensive before the season. After the season, they became cheaper again by 25%. How many euros did the skis cost after the discount? - Air draft
The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and the largest possible number b, the smallest possible number c, a n - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle - Two teas
The tea shop made a mixture weighing 10 kg from two types of tea. The price of the tea was 160 CZK/kg, and the second tea was 170 CZK/kg. The cost of the mixture is 166 CZK/kg. How many kilograms of each type of tea had to be mixed? - Sum of seven
The sum of seven consecutive odd natural numbers is 119. Determine the smallest of them. - Quadrilateral pyramid
A quadrilateral pyramid has a rectangular base with 24 cm and 13 cm dimensions. The height of the pyramid is 18 cm. Calculate: 1/the area of the base 2/casing area 3/pyramid surface 4/volume of the pyramid - Roof material calculation
How much sheet is needed for a roof with the shape of a regular quadrilateral pyramid if its edge is 2.8 m long and the height of the roof is 0.8 m? Calculate 10% for the overlap (extra). - Hexagonal pyramid
Calculate a regular hexagonal pyramid's volume and surface area with a base edge a = 30 m and a side edge b = 50 m. - Ball color probability
There are ten red, six blue, and eight green balls in the hat. What is the probability that a randomly selected ball is blue or red? - Quadrilateral pyramid
The height of a regular quadrilateral pyramid is 6.5 cm, and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body—round calculations to 1 decimal place. - Hexagonal prism calculation
Calculate the volume and surface of a regular hexagonal prism with a base edge a = 30 m and a side edge b = 50 m. - Diagonal BD
Find the length of the diagonal BD in a rectangular trapezoid ABCD with a right angle at vertex A when/AD / = 8,1 cm and the angle DBA is 42° - Inclined plane
The body stays on an inclined plane and exerts a compressive force of 70 N on it. Find the angle between the inclined plane and the horizontal if a gravitational force of 100 N acts on the body. - The leaves
Carl raked the leaves in the garden alone in 24 minutes, and his younger brother took 30 minutes. How long would they dig a garden if Carl digs alone for 6 minutes and his brother comes to his aid? - Chocolate purchase calculation
We bought 50 kindergartens of two types for the kindergarten - milk for 16 CZK per piece and hazelnuts for 11 CZK per piece. We paid a total of CZK 700. How many chocolates were there? - Chimney and tree
Calculate the height of the factory chimney, which casts a shadow of 6.5 m long in the afternoon. At the same time, a 6 m high tree standing near it casts a shadow 25 dm long. - Sound speed in Earth
Through the surface layers of the Earth, sound propagates 13 times faster than through air. The charge exploded 1.7 km from the measuring station during the geological survey. How long does it take between the measuring point's soil vibration and the mome - The regular
The regular triangular prism has a base in the shape of an isosceles triangle with a base of 86 mm and 6.4 cm arms; the height of the prism is 24 cm. Calculate its volume. - Similar triangles
Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. What is the length of the sides of the triangle A'B'C' if its circumference is 80 cm? - Speedboat ship pursuit
The ship set sail at 6 A.M. and traveled at a speed of 16 km per hour. At 8:30 A.M., a speedboat was sent behind her, traveling 24 miles per hour. When will the boat catch up?
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