Basic functions - math word problems

Number of problems found: 2468

• Soaps
Each box has the same number of soaps. A quarter of all boxes contain only white soaps, and in each of the remaining 120 boxes there are always half the white soaps and half the green. White soaps total 1200. (a) the number of all soap boxes; (b) the smal
• Three 43
Three brothers inherited a cash amount of 62,000, and they divided it among themselves in the ratio of 5:4:1. How much more is the largest share than the smallest share?
• Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m2 of sheet metal is needed to cover this roof if 5.5% of the sheet we must add for joints and waste.
• The room
The room has a cuboid shape with dimensions: length 50m and width 60dm and height 300cm. Calculate how much this room will cost paint (a floor is not painted) if the window and door area is 15% of the total area and 1m2 cost 15 euro.
• Divide
Divide area of rectangles with dimensions 32m and 10m by the ratio 7: 9. What area corresponds to a smaller section?
• Water lilies
Water lilies are growing on the pond, and their number is doubled every day. The whole layer is covered in 12 days. How many days will it cover 8 layers?
• Three-fifths
Three-fifths of the school's students are girls. What percentage are boys?
• Wood harvesting
The harvested wood is bundled from the forest to a sawmill. The driver makes the journey four times a day, and the work takes him 8 days. How many times would he have to go daily to get the job done 2 days earlier?
• Thunderstorm
The sound travels 1 km in about 3 seconds. How far is the storm if there is a time interval of 8 seconds between lightning and thunder?
• Average age
The company of five people has an average age of 46 years. The average age of the first four is 43 years. How many years has the fifth member of this company?
• Seven
Seven friends agree to send everyone a holiday card. How many postcards were sent?
• Report 2
A School reports students to teacher ratio of 6:1. If there are 45 teachers in the School, how many students are there?
• Two discounts
The MP4 player cost 960 CZK, the price was twice gradually reduced in the ratio 4: 3: 3/2. How much did the player cost after the second discount?
• Surface of cubes
Peter molded a cuboid 2 cm, 4cm, 9cm of plasticine. Then the plasticine split into two parts in a ratio 1:8. From each piece made a cube. In what ratio are the surfaces of these cubes?
• In the
In the 6th class, the average half-year mark in physics was 1.7. At the end of the year, Maťo improved his mark from 2 to 1, Ivanka from 3 to 2, and Elenka from 4 to 2. Pavlík worsened his mark from 3 to 4. The average mark of the whole class thus improve
• The bulbs
The bulbs are connected serially two bulbs and one resistor. Each bulb has a resistivity of 100 ohms and resistor of 60 ohms The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual appliances?
• Dice
We throw five times the dice. What is the probability that six fits exactly twice?
• Rhombus 29
One of the diagonals of a rhombus is equal to a side of the rhombus. Find the angles of the rhombus.
• Sixty
Sixty percent of one-fifteen of the total is equal to thirty. What are two percent of the total?
• Map scale
The rectangular plot has a scale of 1: 10000 area 3 cm2 on the map. What content does this plot have on a 1:5000 scale map?

Do you have an interesting mathematical word problem that you can't solve it? Submit a 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...