Math practice for 13 year olds - page 372 of 423
Number of problems found: 8451
- Tickets
The football tournament ticket cost 45 CZK for standing and 120 CZK for sitting. Sitting spectators were 1/3 more than standing. The organizers collected a total of 12300 CZK. How many seated and standing seats (spectators)? - Park
In the park is a marked diamond-shaped line connecting locations A, D, S, C, B, and A. Calculate its length if |AB| = 108 m, |AC| = 172.8 m. - Cube 9
What was the cube's original edge length after cutting 39 small cubes with an edge of 2 dm left 200 dm³? - Dog
The dog is tied to a chain, which is mounted in the corner of the yard. The yard is shaped like a square with a side length of 20 meters. The same length is also a dog chain. Are there places in the yard where the dog can't reach? - Acreage
What acreage has a rectangular plot whose diagonal is 34 meters long, and one side has a length of 16 meters? ... - Family
Mom is 39 years old. Karl is eight, and Paul is four. In many years, would the mother be old, just like two children together? - Hypotenuse
Calculate the length of the hypotenuse of a right triangle with a catheti 71 cm and 49 cm long. - Reciprocal equation
Determine the root of the equation: 9/x-7/x=1 - Katy MO
Kate drew a triangle ABC. The middle of the line segment AB is marked as X, and the center of the side AC is marked as Y. On the side BC, she wants to find point Z so that the area of a 4gon AXZY is the greatest. What part of the ABC triangle can maximall - Dusan
a) Dusan breaks two same windows, which have a triangular shape with a length of 0.8 m and a corresponding height of 9.5 dm. Find how much dm² of glass he needs to buy for the glazing of these windows. b) Since the money to fix Dusan has not been, it must - Rhombus 4
The circumference of the rhombus is 44 cm, and its height is 89 mm long. Calculate its area. - Backpack
A large backpack costs CZK 1352. Little is 35% cheaper. How much do we pay for five large and two small backpacks? - Right triangles
How many right triangles we can construct from line segments 3,4,5,6,8,10,12,13,15,17 cm long? (Do not forget the triangle inequality). - Drainage channel
The drainage channel's cross-section is an isosceles trapezoid whose bases are 1.80 m and 0.90 m long, and the arm is 0.60 meters long. Calculate the channel's depth. - Metal box
How much metal do we need to produce in a box with dimensions of 5 dm, 30 cm, and a height of 1 m? Add 12% of the waste and fold. - Pine wood
We cut a carved beam from a pine trunk 6 m long and 35 cm in diameter. The beam's cross-section is in the shape of a square, which has the greatest area. Calculate the length of the sides of a square. Calculate the volume of lumber in cubic meters. - Trapezoid
The area of a trapezoid is 135 cm². The sides a, c, and height h are in a ratio of 6:4:3. How long are sides a, c, and height h? Perform calculation. - Lathe
Calculate the percentage of waste if the cube with 53 cm long edge is lathed to the cylinder with a maximum volume. - Cube 6
The surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube? - Aluminum wire
Aluminum wire of 3 mm diameter has a total weight of 1909 kg and a density of 2700 kg/m³. How long is the wire bundle?
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