Examples for 6th grade (the sixth graders) - page 9

  1. Pairs
    dvojice From the five girls and four boys teachers have to choose one pair of boy and girl. A) How many such pairs of (M + F)? B) How many pairs where only boys (M + M)? C) How many are all possible pairs?
  2. Count of roots
    eggs How many solutions has equation x. y = 7757 with two unknowns on the set of natural numbers?
  3. Intersections
    intersect_circles How many intersections have circles with radius 16 mm and 15 mm, if the distance of their centers is 16 mm.
  4. Company
    team After increasing the number of employees by 15% company has 253 employees. How many employees take?
  5. 3-bracket
    triangle2 May be the largest angle in the triangle less than 20°?
  6. Gardens
    garden_3 The garden has the square shape with circumference 124 m. Divide it into two rectangular gardens, one should circumference 10 meters more than the second. What size will have a gardens?
  7. N-gon angles
    ngon2 What is the sum of interior angles 9-gon? What is the internal angle of a regular convex 9-polygon?
  8. Tiles
    tiles_1 The room has dimensions 12 m and 5.6 m. Determine the number of square tiles and their largest possible size to cover them room's floor.
  9. School books
    sesity At the beginning of the school year, the teacher gave out 480 books and 220 textbooks. How many students were in the class?
  10. Family and age ratios
    family_1 Age of father and son are in the ratio 10:3; age of father and daughter are in the ratio 5:2. How old is father and son, if daughter is 20 years old? In what ratio is age sister and brother?
  11. Garden
    lichobeznik_zachradka The garden has two opposite parallel fences. Their distance is 33.1 m. Lengths in these two fences are 75.5 meters and 49.4 meters. Calculate the area of this garden.
  12. Quadrant II
    quartes_circle Calculate the radius of the quadrant, which area is equal to area of circle with radius r = 15 cm.
  13. Segments
    segments Line segments 67 cm and 3.1 dm long we divide into equal parts which lengths in centimeters is expressed integer. How many ways can we divide?
  14. Rhombus HP
    rhombus3_1 Calculate area of the rhombus with height 24 dm and perimeter 12 dm.
  15. Supermarket cashiers
    tesco_1 When at the supermarket are opened only 2 cash people waiting in the front approximately 12 minutes. How many will shorten the average waiting time in a front where supermarket open another three cashiers?
  16. Snow
    sneh_lopatovanie Snow fell overnight layer of thickness 19 cm. In the morning I had to clear a path 69 m long and one meter wide. How many cubic meters of snow I clear? How many kilos was it? (1 m3 fresh snow weighs 350 kg)
  17. Collective irresponsibility
    most_u_komoran At the Internet, time is very uncomfortable for the state that no more gaffe or waste is no longer possible to hush up as if people were at home with only two television channels censored. An example of the effectiveness of state can be Bridge at Komořan
  18. University bubble
    MBA_titul You'll notice that the college up slowly every other high school. In Slovakia/Czech republic a lot of people studying political science, mass media communication, social work, many sorts of management MBA. Calculate how many times more earns clever 25-year
  19. Task
    cube_1 I have homework. The cube has an edge 7 cm long and I must find wall and body diagonal.
  20. DIY press
    typewriter Under socialism regime was in some socialist countries to own a typewriter requires special permission. That has hindered the spread of DIY literature (manually transcribed through carbon copy paper for typewriters). Calculate how many typewriters today.

Do you have interesting mathematical example that you can't solve it? Enter it and we can try to solve it.

To this e-mail address we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.