Math practice for 13 year olds - page 181 of 428

Number of problems found: 8558

Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table?
Medal award ways
Sixteen teams will compete in the hockey tournament. How many ways can a gold, silver, and bronze medal be awarded?
Committee selection ways
There are 24 students in the class. How many ways can we select a class committee? Where are the chairman, treasurer, and bulletin board?
All pairs
Find all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s(a) denotes the digit sum of the natural number a.
Isosceles triangle
The given is an isosceles triangle with a base of 24dm and an arm of 15dm. Calculate the height of the triangle.
Ladder and wall
The ladder is 13 m long, and its lower part is 5 m away from the wall. How high does the ladder reach?
Bike distance
Places A and B are 30 km apart. From A, Peter will ride a bike at a speed of 18km/h. Milan is also a bike from B but at 24km/h speed. How far apart will they be after 20 minutes?
Hydraulic jack force
The hydraulic jack has pistons with a capacity of 6 cm² and 360 cm². How much force do we have to apply to the smaller piston to be able to lift a body weighing 180 kg on the larger piston?
Hydraulic press force
The hydraulic press has pistons with a capacity of 20 cm² and 800 cm². How much force acts on the larger piston if we work on the smaller piston with a force of 100 N?
Three-digit number creation
How many 3-digit numbers can be created from the digits 1, 2, 3, 4, 5, and 6 if we must not repeat the digits?
Five-digit number creation
How many five-digit numbers do we create from digits 1, 2, and 3?
Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one to have the same volume as the original ones. What is the length of the edge of this cube?
Cuboid edges
The lengths of the cuboid edges are in the ratio 2:3:4. Find their length if you know that the surface of the cuboid is 468 m².
Ditch soil
How much soil is needed to dig a 200m long ditch, the cross-section of which is a square with an area of 4812.5 cm²
Granite column
A cylindrical granite column in a square is 8 meters high and has a diameter of 70 cm. I need to find out how much it weighs. Will this column support a truck with a load capacity of 8 tons?
Pool wetted area
The block-shaped pool with dimensions of 25 m and 12.5 m and a depth of 2 m is filled with 4/5 of water. Calculate the area of water-wetted areas.
Prism surface volume
Calculate the surface and volume of a vertical prism if its height h = 18 cm and if the base is an equilateral triangle with side length a = 7.5 cm.
Rhombus and diagonals
The lengths of the diamond diagonals are e = 48cm f = 20cm. Calculate the length of its sides.
A bus
A bus is scheduled to travel a distance of 121 km in 2 3/4 hours. What must the average rate of speed be maintained to arrive on schedule?
Line segment
Line segment AB is 8 cm long. Divide it by a ratio of 2:3.

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