Math practice for 13 year olds - page 171 of 428
Number of problems found: 8555
- Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area. - Bulb resistance
At a certain point, we measured a voltage of 4.5V at a current of 150 mA at the bulb's terminals connected to the electrical circuit. What is the resistance of the bulb? - The rotating
The rotating cone has a height of 0.9 m, and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone) - The volume
The volume of the cone is 94.2 dm³, and the radius of the base is 6 dm. Calculate the surface of the cone. - Perpendicular legs PT
In a right triangle, one leg is 5 cm longer than the other leg. The hypotenuse is 150 mm. Calculate the lengths of the legs. - Student exam probability
There are 28 students in the IK3 class. Three pupils will be examined. Nineteen pupils are ready for the exam. What is the probability that all three will be unprepared? - Cheetah antelope pursuit
The antelope was 100 m away from the cheetah. The moment the cheetah started running, antelope took off running. The cheetah ran at an average speed of 1200 m per minute, and the antelope 700 m per min. In how many seconds was the cheetah able to catch up - Honor graduate percentage As many as 62.5% of residents at the business academy graduated with honors. How many high school graduates would there be if 30 students graduated with honors?
- Target miss probability
The target is divided into three zones. The shooter's probability of hitting the first zone is 0.18, the second zone is 0.22, and the third zone is 0.44. What is the likelihood that he will miss the target? - Cube edge
Calculate the size of the cube edge if the diagonal of the wall is 8 cm. - The encore
The rock band had a 15-minute encore at their concert, which accounted for 12% of the total length of the concert. What was the total length of the concert? - The price
The calculator's price gradually decreased from 65 euros to 30 euros, then to 10 euros, and finally to 4 euros. What percentage were the individual reductions? What percentage of the original price was reduced? - Cauliflower sales
Miss Cabbage sells vegetables in the market. Yesterday, she offered two types of cauliflower - a large one for 25 CZK and a small one for 15 CZK. In the morning, she sold 8 boxes of 20 heads of cauliflower and thus earned 3,270 CZK. How many large and how - Trapezoid land price
The land on which the car service stands is shaped like a trapezoid with bases 98m and 76m long. The distance from the bases is 64m. Calculate the price of the land; if 1 m² of land costs 14 €? - Worker repair time
The worker performs the repair work in 20 days, and his assistant does the job himself in 60 days. How many days would they work together? - Reservoir pump filling
The reservoir is filled with a large pump in 20 hours, a medium in 24 hours, and a small one in 30 hours. If all pumps are switched on simultaneously, how many hours will it be filled? - Coffee
One kilogram of cheaper coffee costs CZK 150, and one kilogram of more expensive coffee costs CZK 200. We have to prepare a mixture of 35 kg of coffee for 180 CZK. How do we prepare the mixture (how many of which kind of coffee do we need)? - Balloon buoyancy force
The balloon filled with hot air has a volume of 1440m³. How large a buoyancy force acted on the balloon in the air with a density of 1.3 kg/m³? - Book money
Jarmila bought a book for two-fifths of her money, leaving her with CZK 75. a) How much CZK did Jarmila initially have? b) How much did the book cost? - Class language
Five-twelfths of the students in the class learn English, a third learn German, a sixth learn French, and two students learn Spanish. How many students are in the class, and how many languages are they learning?
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