Math practice for 13 year olds - page 347 of 428
Number of problems found: 8549
- Workshop shifts
Workshop A can fulfill a specific order in 8 changes, workshop B in 10 modifications. How many shifts will the job be completed if workshop A works on only the first two shifts and both workshops work on the remaining shifts? - Tank filling
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?
- Prize distribution
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? - Currant planting
There are 600 currant bushes in the orchard. On the first day, they planted two-fifths, and on the second, three-eighths out of the total number of shrubs. How many shrubs do they have to plant? - 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? - Triangle angles
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. - Annual reward
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? - Apple division
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? - Positive number
Which positive number equals twice its square? - Loading car
The car was loaded with 78 boxes weighing 19 kg. If the total weight is the same, how many 25kg boxes can it load? - Average speed
If the train travels at an average speed of 60 km/h, it will cover a certain distance in 5 hours and 30 minutes. What is the average speed he travels to cover the same distance in 5 hours? - 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. - Workers needed
The broad workers will do the job in 22.5 days. How many workers still need to be hired to do the job seven days earlier? - Tile colors
The rectangle 1 m and 40 cm long and 1 m and 20 cm wide is paved with square tiles with a side of 1 dm. There is one row of brown tiles on all edges of the rectangle, white on the inside. How many brown and how many white tiles? - Pullover price
The pullover originally cost 45 euros. First, it fell by 20% and then by 10%. What is its current price? - 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 - Rowing adolescents
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.
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