6th grade (11y) - math problems

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

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

  • Trapezoid - construction
    trapezium Construct a trapezoid KLMN, where: k = 9 cm, l = 4 cm, m = 5 cm and angle α = 45°
  • One frame
    room 5 picture frames cost € 12 more than three frames. How much cost one frame?
  • Toy Cars
    cars_children Peter has 29 toy cars, Zdenko has 8 toy cars less. How many toy cars has Zdenko?
  • Outer contact of circles
    nakres_2z Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contacts. Calculate the perimeter of the triangle S1S2S3.
  • Tractors
    tractors Fields go plow two tractors with various performances. The first tractor plows the whole field in 11 hours, the second tractor plows the whole field 19 hours longer. How long take plow the whole field with two tractors?
  • The bar chart
    test The bar chart shows the results of the math test. How many% of pupils achieved approximately better results than the average of the class? Diagram: 1-10 pupils, 2-4 pupils, 3-6 pupils, 4-2 pupils, 5-4 pupils. (lowest result are better)
  • If twice
    family If twice the age of the daughter is added to the age of the mother, the sum is 56. but if twice the age of the mother is added to the age of the daughter, the sum is 82. find the age of the mother and daughter.
  • Deficiencies
    normal_d During the hygienic inspection in 2000 mass caterers, deficiencies were found in 300 establishments. What is the probability that deficiencies in a maximum of 3 devices will be found during the inspection of 10 devices?
  • Isosceles IV
    iso_triangle In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle.
  • Cube wall
    cube_shield The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
  • The prison ball
    prisonBall Calculate the density of the material that the prison ball is made from if you know its diameter is 15cm and its weight is approximately 2.3kg. With the help of mathematical-physicochemical tables estimate what material the ball is made from.
  • Drunk and alcohol
    opilci One drunk measured 2.7 ‰ alcohol in the blood, another 1.75 ‰. How many grams of alcohol in the blood they had if they has 6 kg of blood?
  • 3d vector component
    vectors The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3?
  • Cable car 2
    lanovka Cable car rises at an angle 41° and connects the upper and lower station with an altitude difference of 1175 m. How long is the track of cable car?
  • Baskets of apples
    jablka Grandfather gathered apples into baskets. He filled one large and three small baskets. Small baskets are identical and each can hold 3 kg of apples less than in a large basket. In small baskets together 3 kg of apples over a large basket. How many kilogra
  • Chocolates
    Chocolate In the market we have 3 kinds of chocolates. How many ways can we buy 14 chocolates?
  • 1.5 divided
    eq2 1.5 divided by 1 = w divided by 4

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