Math Practice Problems (2025)

Mathematical word problems allow you to practice your mathematics knowledge in everyday tasks. Word problems train to understand, translate into the mathematical language (e.g., equations), solve, and check the accuracy and solution discussion.
Choose a topic you want to calculate and improve in.


solid geometry

985surface area

729cuboid

540cube

525prism

460cylinder

256pyramid

234cone

220sphere

112space diagonal

54frustum

41spherical cap

24hemisphere

16spherical segment

15similarity bodies


algebra

4370equation

2709expression of a variable from the formula

2007system of equations

564quadratic equation

482prime numbers

416divisibility

391arithmetic progression

282sets

268least common multiple (LCM)

256geometric progression

177intersection of sets

177integer equation

153greatest common divisor (GCD)

134exponential equation

86inequalities

31infinite geometric series

27biquadratic equation


combinatorics

542multiplication principle

476probability

297combinatorial number

293variations

240permutations

55combinations with repetition

35permutations with repetition


statistics

673mean

181harmonic mean

121binomial distribution

112standard deviation

103weighted average

57normal distribution

44geometric average

34variance


arithmetic

2600square (second power, quadratic)

2132multiplication

1830division

1558subtraction

1481addition

1000square root

561comparing

488rounding

279exponentiation

189cube root

164third power

127absolute value


physical quantity

3099length

2995time

2932area

2397volume

2328unit conversion

1922money

1415mass

1181angle

1032velocity

585power

372density

293temperature

217acceleration

181energy


goniometry and trigonometry

299sine

279tangent

272cosine

81arctangent

52arccosine

51arcsine

37cotangent

planimetrics

2600square

2371triangle

2227area of a shape

1642right triangle

1367Pythagorean theorem

964perimeter

957circle

939rectangle

522diagonal

270trapezoid

214polygon

194quadrilateral

184rhombus

84parallelogram

78The Law of Cosines

75chord

74circular arc

71circular sector

68Heron's formula

66The right triangle altitude theorem

51The Law of Sines

46annulus

41rhomboid

35circular segment

30triangle inequality

22parabola

7ellipse

5hyperbola

themes, topics

892motion problems

887fundamentals of Physics

800work

256mixtures and solutions

190electrical engineering

181geometry construction problems

165map scale

162Mathematical Olympiad

102Ohm's law

101interest, deposits and loan math

56Boolean algebra

46Pythagoras contest

40the proof

5Physics Olympiad


geometry

552line

254analytic geometry

171line segment

152similarity of triangles

118vector

54inscribed angle theorem

45Thales' theorem

25scalar product


basic functions

6083functions

2101percentages

2005reason

1526ratio

644direct proportionality

369inverse proportion

308simple proportion

174exponential function

167maximum

125factorial

103minimum

91logarithm

77per mil

48derivation

24modulo

9integral


numbers

3600fractions

1701natural numbers

809mixed numbers

392rational numbers

325integers

162real numbers

57complex numbers

41matrix

11irrational numbers



From our database of math word problems and examples, we offer the following:

  • Water well Drilled well has a depth of 20 meters and a 0.1 meters radius. How many liters of water can fit into the well?
  • Average monthly salary A total of 10 teachers work at one small school in Moravia. The monthly salary of each is 21,500 CZK or 21,800 CZK or 22,500 CZK, according to their education and age. The average monthly salary for this school's teacher is 21 850 CZK. How many teachers o
  • Aquariums 80526 Mirko has a total of 137 fish in three aquariums. He has 19 more fish in the largest aquarium than in the medium. There are 5 fewer fish in the smallest than in the middle one. How many fish does Mirko have in the smallest aquarium?
  • Passengers 4311 There were six passengers on the bus. There were always six more passengers at the next two stops. Did the passengers travel together?
  • Acceleration 43731 The car starts with constant acceleration, and at a distance of 567 m, it has a speed of 12.6 m/s. How long will it take from the start?
  • Two grandmothers Two grandmothers went to the market to sell eggs, and they had 100. When they sold all the eggs, they made the same money. The first grandmother said to the second, "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmother replied
  • Cuboid-shaped 49763 The cuboid-shaped sheet metal tank with dimensions a=25dm, b=5.6m, and c=180cm will be painted from the outside. How many cans of paint do we need to buy, and how many CZK crowns will we pay? One costs CZK 204, and it is enough to paint 8.5m².
  • Dimensions 81909 The foundation pit for building houses has a face of blocks with dimensions of 10 meters, 10 meters, and 2 meters. After a heavy rain, the water is filled to the brim. The pump pumps out 10 m³ of water in 1 hour. In how many hours will the pit be empty?
  • Players 6897 There are 103 players. Team A has three players less than B, team C has two more than D, and team D has the same number as B. How many players does each team have?
  • Minutes 47973 The workers halved the planned break, so it lasted 42 minutes. How many minutes would it take to extend it by only a quarter?
  • Wall thickness The hollow metal ball has an outside diameter of 40 cm. Determine the wall thickness if the weight is 25 kg and the metal density is 8.45 g/cm³.
  • Calculate 8252 Calculate in cm² the area of a circle whose diameter is equal to the length of the diagonal of a square ABCD with a side of 4cm.
  • Refrigerator 82732 The refrigerator was first discounted by 20% and then increased in price by 5%. Now the Zmrzlin family bought it for 420 euros. How much was the refrigerator before the discount?
  • Coils of transformer What voltage is generated on the secondary coil of the transformer, which has 1500 turns, if the primary coil is connected to a voltage of 120 V and has 500 turns? What is the transformation ratio, and what kind is the transformation?
  • Concerning 82883 Conductor A has an electrical potential of +140V concerning the Earth; conductor B has a potential of -60V. How much electric charge will we transfer from wire B to wire A if we do the work of 4.10-4 Joules?
  • Tray What height reaches the water level in the tray shaped as a cuboid if it is 420 liters of water and the bottom dimensions are 120 cm and 70 cm?
  • Increase 7409 If you increase the unknown number by 14 percent, you get the number 136.8. Find an unknown number.

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Math Practice Problems (2025)
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