Maths practice for 14 year olds - page 135 of 370
Number of problems found: 7385
- 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. - Mathematical 40213
Sixty-two high school students took part in the Mathematical Olympiad. There were 7 fewer first-year students than sophomores, two-thirds of the number of third-year students, and 5 fourth-year students. How many students from each grade took part in the - 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. - Laboratory 40191
Laboratory assistant Eva is to prepare 0.5 liters of 30% sulfuric acid. It has 60% and 15% sulfuric acid ready. How many of which will he use in the solution? - The father
The father is three times older than his son. 10 years ago, a father was seven times older than his son. How old are father and son? - Probability 40131
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? - Antelope 40121
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 - Probability 40101
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? - Calculate 40091
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? - Cauliflowers 40001
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 - Assistant 39951
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? - Simultaneously 39941
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? - Atmospheric 39931
The area of the horizontal plate is 0.80 m². The atmospheric pressure around the plate is 1100 hPa. 1. How much pressure does the air exert on the plate from above? 2. What is its direction? 3. Is the magnitude of this force different if the plate is tilt - 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)? - Kilograms 39911
In a luxury praline factory, they prepared 3.2 kg of a mixture of two types of candies for CZK 273 per 1 kg. Marzipan candies cost 345 CZK/kg and nougat 255 CZK/kg. How many kilograms of each type of candy were used? - The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - Buoyancy 39891
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? - Pharmacist The pharmacist had a 12 liter vessel of herbal lotion, which contained a 30% active ingredient. Her assistant poured 18 liters of herbal lotion, containing 45% of the active ingredient, into a container. What percentage of herbal lotion was produced?
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