Math practice for 13 year olds - page 179 of 434
Number of problems found: 8665
- Scale factor 2
Nadeem has a 10-inch by 10-inch photo album. He wants to make a large copy of the original photo to fit the album. What are the largest dimensions of the copy if he keeps the proportion of the original photo? Explain your answer. The original photo is 5 i - Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus with 12cm and 18cm diagonals and whose prism height is 10 cm. - The land
The owner wants to divide the land with dimensions of 220 m and 308 m into equally large square plots with the largest possible area. How long will one side of the plot be? - Iglu - cone tent
The cone-shaped tent is 3 m high, and the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m² of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste - Two prizes
Teacher Mae is giving away a random prize to a class of 15 pupils (7 boys and eight girls). What is the probability that girls will win both prizes? - Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table? - Tournament 35441
Sixteen teams will compete in the hockey tournament. How many ways can a gold, silver, and bronze medal be awarded?
- Committee 35431
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 35331
The ladder is 13 m long, and its lower part is 5 m away from the wall. How high does the ladder reach? - Minutes 35311
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 35301
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 35291 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?
- 3-digit 35271
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 35261 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. - Cross-section 35233
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 - Transported 35203
The zombie column, which is shaped like a cylinder in the square, is 8 m high and has a diameter of 70 cm. I need to find out its weight. It will be transported by a truck with a load capacity of 8 tons.
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