Examples for 6th grade (the sixth graders)

Number of problems found: 1381

  • Bureau of Labor
    UPSVAR Bureau of Labor is a state institution that provides mike and the rest for their so-called clients. The mission of the Bureau of Labor is spend taxpayer money to provide relaxation and benefits to those who do not want to work. Popularly speaking sense th
  • Air mass
    airbaloon What is the weight of the air in a classroom with dimensions 10 m × 10 m × 2.7 m ? The air density is 1.293 kg/m3.
  • Aquarium
    akvarium Aquarium is rectangular box with square base containing 76 liters of water. Length of base edge is 42 cm. To what height the water level goes?
  • Like
    barrels When is in 14 barrels 140 liters of water, how many liters barrels of 8 liters I need to get all the water from the larger barrels?
  • Brick
    balance_scale Isosceles scale has on one side all brick and second weight 1 kg and 1/4 of brick. The balance is in equilibrium. What is the weight of a brick?
  • Intersections
    intersect_circles How many intersections have circles with radius 16 mm and 15 mm, if the distance of their centers is 16 mm.
  • Rounding
    periodic6 Double round number 727, first to tens, then to hundreds. (double rounding)
  • Rhombus problem
    privesok-kosostvorec Perimeter of the rhombus is 204 dm and it area is 2244 dm2. Calculate the height of the rhombus.
  • Theater
    SND The theater has in each row with 19 seats. Ticket to the first 10 rows is for 30 USD. In next rows is for 15 USD. The theater was completely sold out. Revenue was 12255 USD. How many rows are in the theater?
  • Hole
    vykop They fill shape hole with dimensions 2.9 m, 17 m, 15.2 m with 97 m3 of soil. How many percent it fill up?
  • Line
    line Can we construct a line segment, if we know: center
  • Plane
    rovnobezky On how many parts divide plane 6 parallels?
  • Quiz
    quiz Tested student answered correctly on a 4/ 8 questions. Wrong answers was 16. How many questions answered?
  • Acids
    acids 70% acid was make from same acid of two different concentrations. Amount weaker acid to the stronger acid is in ratio 2:1. What was the concentration of the weaker acid, if stronger had 91% concentration?
  • Area of trapezoid
    trapezoid The trapezoid bases are and 7 dm and 11 cm. His height is 4 cm. Calculate the area of trapezoid.
  • Motion
    cyclist_1 If you go at speed 3.7 km/h, you come to the station 42 minutes after leaving the train. If you go by bike to the station at speed 27 km/h, you come to the station 56 minutes before its departure. How far is the train station?
  • 3-bracket 3
    triangle_3 Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides?
  • Shape
    some_airplane Plane shape has a maximum area 677 mm2. Calculate its perimeter if perimeter is the smallest possible.
  • Expression
    fractions If it is true that ? is:
  • Water
    cylinder_1 Into a full cylindrical tank high 3 with base radius 2.4 m we insert cuboid with dimensions 1.7 m, 1.7 m, 0.8 m. How many liters of water will come out?

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...