# Algebra - math word problems

#### Number of problems found: 3225

• 25 pupils
25 pupils attend the school dance group, which is 5 percent of all pupils in the school. The judo class is attended by 20 pupils of the school, a quarter of whom also go to a dance group. How many schoolchildren do not go to a dance or judo group?
• Frustrum - volume, area
Calculate the surface and volume of the truncated cone, the radius of the smaller figure is 4 cm, the height of the cone is 4 cm and the side of the truncated cone is 5 cm.
• Cylinder container
If the cylinder-shaped container is filled with water to a height of 5 dm, it contains 62.8 hectoliters of water. Calculate the diameter of the bottom of the container. Use the value π = 3.14.
• Calculate triangle
In the triangle ABC, calculate the sizes of all heights, angles, perimeters and its area, if given a-40cm, b-57cm, c-59cm
• A swimmer-training
A swimmer-training program has 26 students specializing in the butterfly stroke, 24 specializing in the breaststroke, and 29 specializing in the backstroke. Of these students, 5 students are specializing in all three strokes, 5 are specializing in only th
• Part-time workers
On Saturday, 210 part-time workers arrived in the village. One hundred five part-time workers worked on the first field, 60 on the second. The other part-time workers worked in the third field. They all worked in equal groups. How many workers worked in e
• Three resistors
You have to connect three identical resistors with 12 Ohm resistances so that you gradually get the resulting resistance a) 36 Ohm, b) 4 Ohm, 18 Ohm. Draw a diagram of each circuit.
• Translate
Translate the following mathematical statement into an algebraic expression or equation. 1. Nine less that the quotient of a number and 3 2. The ratio of 3 and the sum of 4 and an unknown number 3. Eighty is the product of 4 and g 4. The sum of x and 18 i
• Fruit equation
Find how many peaches could be bought instead of buying one melon, one pear, one apple and two plums if we know that: • Melon and plum cost the same as three apples • if we subtract the price of a pear from the price of peach, we get the price of plum • T
• Three days way
The tourist walked a quarter of the way on the first day, a third of the rest on the second day and 20 km on the last day. How many km did he cover in three days?
• A cheetah
A cheetah was separated from his brothers on a hunting mission.  The brothers were at the watering hole 120 km away.  The lost cheetah knew that he had to make it back before sundown which was 1.5 hours away.  His brothers had planned to leave the waterin
• C(6,3)
C(6,3) + 3 P(6,3)
• 6/24 change
6/24 change to a fraction in lowest terms
• Two cars
Two cars (trucks and passenger) drove simultaneously from two places 50 km away. If they go against each other, they will meet in 30 minutes. If they follow each other in the same direction, the car will catch up with the truck in 2.5 hours. What is the s
• Thermometer
Immerse a thermometer with a heat capacity of 2.0 J. K-1 in water weighing 67.0 grams. Before immersion in water, the thermometer showed a temperature of 17.8 degrees Celsius. After reaching equilibrium, the temperature is 32.4 degrees. What was the water
• Grandfather
Grandfather brought a full bucket of blueberries to the market and sold one-sixth of them in the morning. When he sold another 12 liters of blueberries in the afternoon, he had one sixth of a bucket of blueberries left. How many liters of blueberries are
• The triangle
The triangle has sides 5 cm long, 5 cm, 8 cm long. What is the area of the triangle?
• Here are
Here are white, blue, and red boats in a marina. Two-thirds of the boats in the marina are white, 4/7 of the remaining boats are blue, and the rest are red. If there are 15 red boats, how many boats are in the marina? Which tape diagram represents how man
• Expression with brackets
Evaluate the expression. 15+[(9-4)×22]
• There
There is 5 l of water with a temperature of 20°C in the bucket. We add 3 liters of hot water. The resulting temperature will be 30°C. What was the temperature of the hot water?

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...