Math practice for 13 year olds - page 424 of 434
Number of problems found: 8668
- Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm². - Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and an area of 415 cm². Calculate the volume of a cone. - Axial section
The axial section of the cone is an equilateral triangle with an area 208 km². Calculate the volume of the cone. - Rotation
The right triangle with legs 11 cm and 18 cm rotates around the longer leg. Calculate the volume and surface area of the formed cone. - Right isosceles
Calculate the area of the isosceles right triangle whose perimeter is 26 cm. - Discount
The product has been discounted twice by 14%. What is the total discount given? - Hole
We will drill the cylinder shape hole in the cube's center with an edge 14 cm. The volume of the hole must be 27% of the cube. What should drill diameter be chosen?
- Pyramid roof
3/5 of the area of the roof-shaped regular tetrahedral pyramid with base edge 9 m and height of 6 m is already covered with roofing. How many square meters still need to be covered? - Cubes
Cube, which consists of 8 small cubes with edge 1 dm, has volume: - Right triangle
Right triangle ABC with side a = 10 and the area S = 50. Calculate the length of the remaining sides. - Square diagonal
Calculate the length of the diagonal of the square with side a = 11 cm. - Triangle
Can an equilateral triangle have a right angle? - Pool
The swimming pool is 10 m wide and 8 m long, and 153 cm deep. How many hectoliters of water are in it if the water is 30 cm below its upper edge? - Lines
Five bus lines run at intervals 3, 6, 9, 12, 15 minutes. In the morning, it suddenly starts at 4:00. After how many minutes do the bus lines meet again? - Numbers
Determine the number of all positive integers less than 5965074 if each is divisible by 5, 29, 11. What is its sum?
- Circles
The areas of the two circles are in the ratio 5:10. The larger circle has a diameter of 14. Calculate the radius of the smaller circle. - Climb
The road has climbing 1:28. How big is the angle that corresponds to this climbing? - Pentagon
Calculate the area of a regular pentagon whose diagonal is u=18 long. - Compass
What angle is between directions J (Juh) and ZSZ (ZápadoSeveroZápad) on the compass? - Balance
The rod is 4.3 m long, hanging weights 9 kg and 15 kg on ends. Where is the center of the rod (distance from weight 9 kg) to be in balance?
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