Math practice for 13 year olds - page 333 of 414
Number of problems found: 8279
- Alcohol mixture
We have to produce 0.2 kg of 60% alcohol from 55% and 80% alcohol. How many of them do we use in the solution? - Gasoline tank cylindrical
What is the inner diameter of the tank, which is 8 m long and contains 40 cubic meters of gasoline? - Scratches
The ticket seller sold 1,280 scratch cards in three days. He sold 90 tickets less on the second day than on the first day. He sold 1.5 times more tickets on the third day than on the second day. How many tickets did he sell on the third day? - Two numbers
The sum of two numbers is zero. A quarter of the first equals half of the second. What are the numbers? - Oats for horses
The farmer has a supply of oats for 5 horses for 12 days. Calculate how many horses would consume the same supply of oats in 1 day. Calculate how many days it would take 6 horses to consume the same oats supply. (The daily ratio for one horse does not cha - Washing elephants
An experienced tamer will wash an elephant in 40 minutes. It takes a temporary worker 2 hours. How long in a minute will a tamer and a temporary worker wash three elephants together? - 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 a train travels at an average speed of 60 km/h, it covers a certain distance in 5 hours and 30 minutes. What average speed would be needed 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?
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