Maths practice for 14 year olds - page 303 of 369
Number of problems found: 7366
- Simultaneously 3316
We would fill the water tank with one inlet in 36 minutes and the other in 45 minutes. How long will it take to fill the tank if water flows through the first inlet for 9 minutes and then both simultaneously?
- The cylinder base
The cylinder with a base of 8 dm² has a volume of 120 liters. From a cylinder filled with water, 40 liters of water were removed. At what height from the bottom /with precision to dm/ is the water level?
- Subsequent 3312
We have to distribute 1200 euros to the five successful Olympic solvers so that the second and each subsequent one gets 50 euros less than the previous one. How many euros did each get?
- Collecting 3306
Four friends received money for collecting paper as follows: Mirko received a quarter of the total amount, Robo received a third of the rest of the money, and Boris received half of the money left by Mirko and Robo. Peter has 16 euros left. How many euros
- Rectangle
The length of the rectangle is 12 cm greater than three times its width. What dimensions and area does this rectangle have if its circumference is 104 cm?
- Magnitudes 3304
In triangle ABC, the interior angle at vertex B is 10 degrees greater than the angle at vertex A, and the angle at vertex C is three times greater than the angle at vertex B. Calculate the magnitudes of the interior angles of the triangle.
- Remuneration 3303
The annual remuneration of the two employees was a total of EUR 18,750. The remuneration of one of them in 6 months was the same as the other in a year. How big was the annual reward for each of them?
- Everyone 3299
The three brothers had 24 apples. Everyone kept half and divided half between the two brothers. Everyone had as many apples as they had three years ago. How old were they?
- Probability 3296
The storm broke the telephone cable connecting places A and B at 2.5 km. What is the probability that this happened at a maximum length of 450 m from location A?
- Three angles
In a triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC.
- Painters
Five painters painted the fence for eight days. How many days over will it take to work if they paint the fence with only four decorators?
- Candies
The price for 1 kg of more expensive candies is 125 CZK. The price for 1 kg of cheaper candy is 100 CZK. We mix two different mixtures of candy. A) The first mixture contains 2 kg more expensive and 0.5 kg cheaper candy. Calculate the price for 1 kg of th
- Adolescents 3286
The rowing club has 90 members. Four times as many older adolescents are in the section as younger adolescents. On the other hand, 54 fewer younger adolescents are in the section than older adolescents. How many older and younger adolescents are there?
- Magic number
The number 135 split into two addends so that one addend was 30 greater than 2/5 the addend.
- Collecting
For the first week of material, collection events are picked up at the school 850 kg of paper and 305 kg of rags, representing 55% of the total collection for 14 days. How many kilograms of secondary raw materials were handed over in total?
- Fifteen
Fifteen students had an average age of 12 years. When the class teacher came to see them, their average increased by exactly one year. How old was the teacher?
- One-sixth 3279
If I had half as many nuts as I have now, I would have the same as Vendulka. If Vendulka had a third less than she has now, she would have the same size as me. If she had one-sixth less than she has and gave me that part, we would have the same amount. Ho
- Probability 3278
I have three colors of briefs. White, black, and red. What is the probability that I will choose white briefs?
- Determine 3277
Seventh, eighth, and ninth graders were sitting in the cinema hall. There were a total of 250 pupils in the cinema hall. There were 30 more sevens than eights and 10 fewer eights than nines. Determine how many pupils there were.
- Individual 3276
There are 2,600 moldings in stock. They are to be divided into 3 workshops so that in hall 1, there are 400 moldings less than in hall 2, and in hall 2, there are 300 moldings more than in the third hall. How many moldings are delivered to individual hall
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