Math practice for 13 year olds - page 278 of 432
Number of problems found: 8621
- Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r - Approximately 6361
The glass paperweight has the face of a sphere with a radius of 4 cm. Estimate and then calculate its weight. The density of glass is approximately 3800 kg/m³. - The mayor
The mayor wanted to have the streets of an entire large neighborhood cleaned. The cleaning would take 8 hours with an older type of car, and 6 hours with a newer type. The cars started at once, but to make the cleaning process as quick as possible, an old - Hotel rooms
In the 45 rooms, there were 169 guests. Some rooms were three-bedrooms and some five-bedrooms. How many rooms were there? - Sidewalk 6347
A sidewalk is 70 cm wide around the circular law and has a radius of 2.3 m. How many square meters does the sidewalk have? - Vegetable stew
The recipe for vegetable stew is recommended to mix tomatoes, peppers, and onions in a ratio of 4:3:1. The cook has already prepared both onions and peppers. In contrast, the onions were five kilograms less than the peppers. How many kilograms of tomatoes - Part-timers 6344
Certain work was to be done by 21 workers during an eight-hour workday, due in 12 days. After five days, temporary workers came to their aid. They all worked together for 7 hours a day and finished the job in 6 days. How many part-timers were there?
- Volcano
The volcano's crater is approximately in the shape of a cone with a base of 3.1416 square miles. The crater's depth is 1500 ft. How many cubic yards of earth would be required to fill this cavity? - Circumference 6338
The circle has the same area as the square, whose circumference is 400m. Calculate the diameter of the circle. - Circular arc
Calculate the length of the circular arc if the diameter d = 20cm and the angle alpha = 142 ° - Tablecloth 6336
For a round table with a diameter of 75 cm, you need to sew a tablecloth that should extend 10 cm around the table. A 1.5 cm slat is added to the border. How many square meters of lath do we need for this table? - Unknown number x
If 5/18 of some number = 425, what is the value 13/18 of this number? - Quadrilateral 6332
The regular quadrilateral pyramid is 2 m high. The height of the sidewall is 2.8 m. What are the dimensions of the base? Calculate the surface area and volume of the pyramid. - Calculate 6331
The regular hexagonal pyramid has a base edge of 20 cm and a side edge of 40 cm. Calculate the height and surface of the pyramid - Granite sidewalk
On the sidewalk, 3 m wide and 8 m long, 2 m³ of mosaic stone (granite cubes) was used. The master of tiles had to pave the sidewalk 2.5 m wide and 65 m long. How much m³ of the stone does it consume?
- Compressive 6327
A force of 60 N acts on the smaller piston of a hydraulic press, 24 mm in diameter. What is the pressure in the liquid below the piston? How much compressive force is produced on the larger piston with a diameter of 420 mm? - Encyclopedias 6325
The shelf contains 27 atlases, 29 dictionaries, eight textbooks, and 16 encyclopedias. What is the probability that a randomly selected book from this shelf is an encyclopedia? Give the result as a percentage. - Together
If eight men, ten women, and 16 children collect ₹1024 in 4 days, how many days will be required for six men, five women, and four boys to collect ₹768? (₹ is Indian Rupee) - Polynomial 6321
Simplify polynomial entry: (x + 2)² + (x-2) (x + 2) - Transportation 6319
The pupils traveled on the trip by minibus, while the cost per participant was 15 euros. If they occupied the last 4 free seats in the minibus, the cost per participant would be reduced by 3 euros. What was the total cost of minibus transportation?
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