Math practice for 13 year olds - page 405 of 414
Number of problems found: 8280
- Right isosceles
Calculate the area of an isosceles right triangle whose perimeter is 26 cm. - Discount
The product has been discounted twice by 15%. What is the total discount given? - Hole
We will drill the cylinder shape hole in the cube's center with an edge 16 cm. The volume of the hole must be 10% of the cube. What should drill diameter be chosen? - Pyramid roof
3/5 of the lateral surface area of a regular quadrilateral pyramid with base edge 9 m and height 6 m has already been covered with roofing. How many square metres still need to be covered? - Cubes
Cube, which consists of 8 small cubes with edge 1 dm, has volume: - Right triangle
Right triangle ABC has side a = 10 and area S = 50. Calculate the lengths of the remaining sides. - Square diagonal
Calculate the length of the diagonal of a 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 4, 5, 7, 11, 12 minutes. In the morning, it suddenly starts at 7:00. After how many minutes do the bus lines meet again? - Numbers
Determine the count of all positive integers less than 4064028 that are divisible by 5, 23, 2. What is their sum? - Circles
The areas of two circles are in the ratio 5:10. The larger circle has a diameter of 14. Calculate the radius of the smaller circle. - Climb
A road has a gradient of 1:26. What angle of inclination does this correspond to? - Pentagon
Calculate the area of a regular pentagon whose diagonal has length u = 18. - Compass
What is the angle between compass directions J (Juh) and ZSZ (ZápadoSeveroZápad)? - Gear
Two meshing gears have a gear ratio of 1:2. The distance between their centres is 96 cm. What are the radii of each gear? - Tinsmith
A tinsmith constructs a chimney pipe 186 cm long and 16 cm in diameter. The pipe is made from a flat sheet with an overlap of $x cm at the seam. What dimensions must the sheet have? - Cubes
The surface areas of two cubes, whose edges differ by 42 cm, differ by 16128 cm². Determine the edge length of each cube. - Free fall
Pavel fell from a height of 9 m. Calculate the speed at which they hit the ground, given a gravitational acceleration of g = 9.81 m/s². - Subway
A subway train accelerated uniformly for 26 seconds, reaching a speed of 72 km/h. It then travelled at this speed for 56 seconds, before decelerating uniformly to a stop in 16 seconds. What was the distance between the stations?
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