Latest word problems

Discover the latest math problems and word problems designed to deepen your understanding of mathematics. Solutions are explained simply and clearly so that everyone can follow along. Regular practice is the best way to succeed at school and in entrance exams. New problems are added every day — come back and practice more.

Number of problems found: 48

Ratio of acid and water
In a mixture of 60 litres, the ratio of acid to water is 2:1. If the ratio of acid to water is to be changed to 1:2, how much water must be added?
Three angles
Find all missing angle values using the Law of Cosines, given all three sides: a = 12, b = 13, and c = 20
Distance - number line
What is the distance between −93 and 114 on a number line?
Simple interest pa
If a sum of money doubles in 8 years at simple interest, in how many years will it become 3 times the original amount?
Reading newspaper
40% of people read newspaper X, 50% read newspaper Y, and 10% read both newspapers. What percentage of people read neither newspaper?
Inflation again
If the price of a commodity increases by 85%, by what percentage should consumption be reduced so that spending increases by only 48%?
Wooden
A wooden cube with an edge of 12 cm is painted with red paint. After the paint dries, the cube is cut into small cubes with an edge of 2 cm. Write how many small cubes will have exactly two red faces.
Stanka
Stanka knows 3 spread recipes. Her mom knows 10 times more spread recipes. How many recipes does her mom know?
Math test 3
How many students took the math test if one third of them solved only some of the problems. A quarter of the remaining students did not solve a single problem and 75 students solved all the problems.
Area 68
The area of a square is 49 cm². Find side a, then the perimeter of the square.
Diameter 132
The base diameter of a cylinder is 2 m and its total surface area is 34.54 m². Calculate the base radius, height, and volume of the cylinder.
Garden 3
A garden pool in the shape of a cylinder with a base diameter of 300 cm contains 25 hectolitres of water. How deep is it if the water level is 10 cm below the rim of the pool?
Volume 102
The volume of a cylinder is 214 cm³ and the base radius is 4 cm. Calculate the height of the cylinder.
Drinking trough
A drinking trough for cattle is in the shape of a half-cylinder, 2 metres long with a diameter of 80 cm. How much sheet metal is needed to make it, given that an additional 12% of material is added for joints?
Landing strip
How long is the runway at an airport if, at an altitude of 1.2 km, the beginning of the runway is visible at a depression angle of 58° and the end at a depression angle of 27°?
Factory chimney
How tall is a factory chimney if its top is seen from a distance of 60 metres at an elevation angle of 60°?
In the bag
I have red and blue marbles in a bag in a ratio of 7:2. There are 45 marbles in total. How many are red?
Garden fencing
How much will decorative fencing cost if the garden measures 350 m × 260 m and 1 metre of fencing costs 450 CZK?
Advantageous internet
We had long been using internet from Company A at €17.49 per month after the contract period. We switched to internet from Company B at €11.39 per month, with the condition that a fee of €48.38 is paid in the first month, which includes the installation.
In prima, secunda and tertia
The numbers of children in Class 1, Class 2, and Class 3 are in the ratio 3:4:3. Class 1 and Class 3 together have 12 more children than Class 2. How many children are in Class 1?

Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.