Examples for 7th grade (seventh)

  1. Railway wagon
    cargo The railway wagon holds 75 m3 load. Wagon can carry a maximum weight of 30 tonnes. What is the maximum density that may have material with which we could fill this whole wagon? b) what amount of peat (density 350 kg/m3) can carry 15 wagons?
  2. Real estate
    house Residential house has three entrances numbered by odd numbers arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of this three numbers.
  3. Diagonals
    stvorec_7 Draw a square ABCD whose diagonals have a length of 6 cm
  4. Pizza 4
    pizza_6 Marcus ate half pizza on monday night. He than ate one third of the remaining pizza on Tuesday. Which of the following expressions show how much pizza marcus ate in total?
  5. Rhombus
    kosostvorec_6 If we increase the rhombus side by 2.4 cm; its perimeter is 20 cm. How long was the side of the rhombus?
  6. Three workers
    eura_6 Three workers got paid for work. First earn € 50, the second € 100 and third € 60. For further work should receive together € 735. How do you divide that amount in order to be distributed in the same proportion as the first job?
  7. Rainfall
    rain_5 On Thursday, fell 1 cm rainfall. How many liters of water fell to rectangular garden with dimensions of 22 m x 35 m?
  8. Inflation
    dollar What is better for people (employees)? ?
  9. Compare
    fraction Compare fractions ?. Which fraction of the lower?
  10. Is right?
    rtriangle Is triangle with sides 24, 51 and 45 right triangle?
  11. Reverse Pythagorean theorem
    pytagors Given are lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 73 m, 66 m, 51 m ? Δ DEF: 63 cm, 105 cm, 84 cm ? Δ GHI: 50 dm, 48 dm, 14 dm ? Δ JKL: 31 m, 45 m, 40 m ? Δ MNO: 28 m, 53 m, 45 m ?
  12. Root
    root_quadrat The root of the equation ? is: ?
  13. Troops
    regiment Route is long 203 km and the first day first regiment went at an average speed 20 km/h and journey back 19 km/h. The second day went second regiment same route at an average speed 18 km/h there and back. Which regiment will take route longer?
  14. Flags
    vlajka_cz How many different flags can be made from colors red, white, blue, black, yellow, green, purple, gray, orange so that each flag consisted of three different colors?
  15. It is rectangular?
    nice_3d Size of two of the angles in a triangle are: α=60°, β=20°. Is it a right triangle?
  16. Triangle
    eq_triangle Can be rectangular triangle equilateral?
  17. Similarity
    similar_triangle Are two right triangles similar to each other if the first one has a acute angle 10° and second one has acute angle 50°?
  18. Above 100%
    dummy What is 155% of 210?
  19. Wage
    socik Increasing the minimum wage while maintaining the other parameters of the system, unemployment will be:
  20. Promile
    promile Calculate the 2.9 ‰ of 629.

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