# Units - math word problems

1. Trio ratio
Hans, Alena and Thomas have a total of 740 USD. Hans and Alena split in the ratio 5: 6 and Alena and Thomas in the ratio 4: 5. How much will everyone get?
2. Temporary workers
Three temporary workers work in the warehouse and unload the goods in 9 hours. In what time would five temporary workers unload the same products?
3. The gold coin
The gold coin contains 900 per mille of pure gold. The coin weighs 950g. How much per mille is gold? How many grams are gold?
4. The aspect ratio
The aspect ratio of the rectangular triangle is 13: 12: 5. Calculate the internal angles of the triangle.
5. Eq triangle minus arcs
In an equilateral triangle with a 2cm side, the arcs of three circles are drawn from the centers at the vertices and radii 1cm. Calculate the content of the shaded part - a formation that makes up the difference between the triangle area and circular cuts
6. Pilsen circus
The arrival of the circus in Pilsen was seen in the morning at 08:00 by a citizen of the city. He passed this information on 08:15 to three other residents of the city. Each of these three people then informed the other three residents at 08:30, and again
7. Earnings per share
The table below shows the stock price, earnings per share, and dividends per share for three companies for a recent year: Deere &Co. Price \$65.70 earnings per share \$4.40 Dividends per share \$1.16 Google price \$528.33 earnings per share \$27.72 Dividends
8. Hexagon
Calculate the surface of a regular hexagonal prism whose base edge a = 12cm and side edge b = 3 dm.
9. The farm
The farm harvested 390 tons of grain. Wheat was 15% more than barley, and rye was 126 tons less than wheat and barley combined. How many tons of wheat, how many tons of barley, and how much rye did the team get?
10. Pilsen Region
Between 2000 and 2001, 14 per mille of the population decreased in the Pilsen Region. In 2000, the Pilsen Region had 551281 inhabitants. If the declining trend continues the same (i. E. , 14 per mille of inhabitants per year), how many inhabitants will th
11. Swimming pool
The swimming pool has the shape of a block with dimensions of 70dm, 25m, 200cm. How many hl of water can fit into the pool?
12. Tiles
The rectangular floor of the 6 x 1.8 m dimensions is to be covered with 50 cm square tiles. How many tiles will be needed?
The heights of five starters on redwood high’s basketball team are 5’11”, 6’3”, 6’6”, 6’2” and 6’. The average of height of these players is?
14. Temperature variations
Today's temperature was 80 degrees, and then the temperature dropped 10 degrees. Then it dropped 15 degrees again, then the next day, the temperature went up 2 degrees. What would the temperature be?
15. Temperature change 3
At 2 p. M. The temperature was 76 degrees Fahrenheit. At 8 p. M. The temperature was 58 degrees Fahrenheit. What was the change in temperature?
16. Tributaries
The pool can be filled with two different tributaries. The first inflow would fill the pool in 18 hours, both in 6 hours. How many hours would the pool filled with a second inflow?
17. The perimeter of the rectangle
The length, l, of a rectangle is 4 inches greater than its width, w. The perimeter of the rectangle is at least 30 inches. What inequality shows the range of possible widths of the rectangle?
18. A loan
A loan in the amount of \$944 is charged simple interest at an annual rate of 8.1%. How much money is owed 14 months after the loan was made?
19. Startup
Jaxon’s start up business makes a profit of \$450 during the first month. However, the company records a profit of -\$60 per month for the next four months and a profit of \$125 for the final month. What is the total profit for the first six months of Jaxon’
20. Two machines
The first machine can produce parts in 24 hours, the second in 16 hours. The first started working in the morning at 6:00 pm. Second at 10:00 o'clock. At what hour were all parts made?

Do you have an interesting mathematical word problem that you can't solve it? Submit math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...