Examples for secondary school students - page 21

  1. Chord AB
    chord_3 What is the length of the chord AB if its distance from the center S of the circle k(S, 92 cm) is 10 cm?
  2. Chemical parison
    banka_1.JPG The blown parison (with shape of a sphere) have a volume 1.5 liters. What is its surface?
  3. Circle arc
    arc_cut Calculate the area of the circular arc in m2 where the diameter is 290 dm and a central angle is 135°. Result round to three decimal places.
  4. Snowman 2
    snowman_1 On the medal, which has the shape of a circle with a diameter 18 cm is sketched snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over snowman is the same as under it, 3. diameters of all circles express
  5. Circular motion
    mass_point_circle Mass point moves moves uniformly in a circle with radius r = 3.4 m angular velocity ω = 3.6 rad/s. Calculate the period, frequency, and the centripetal acceleration of this movement.
  6. Forth and back
    forth_and_back Car goes from point A to point B at speed 78 km/h and back at 82 km/h. If went there and back at speed 81 km/h journey would take five minutes less. What is the distance between points A and B?
  7. Tetrahedron
    tetrahedron (1) Calculate height and volume of a regular tetrahedron whose edge has a length 18 cm.
  8. Rectangular trapezoid
    rt_licho The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid.
  9. Sequence
    Quadratic_equation In the arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n.
  10. Linear independence
    colinear_vectors Determine if vectors u=(-4; -5) and v=(20; 25) are linear Linear dependent.
  11. Exp
    old_calculator If ?, then n is:
  12. Components
    components In the box are 8 white, 4 blue and 2 red components. What is the probability that we pull one white, one blue and one red component without returning?
  13. Goniometric form
    complex_fnc Determine goniometric form of a complex number ?.
  14. Metal alloy
    ocel What is the ratio of metals in the alloy that is in the 50 tonnes of steel to 30 kg nickel?
  15. Package
    latky_textil The package has no more than 67 m of cloth. If we just cut it all on the blouses or all on dresses, no cloth left remain. On the one blouse consumes 3.8 m of cloth and on one dress 1.7 m. Determine the amount of the cloth in the package.
  16. Sequence
    seq Calculate what member of the sequence specified by ? has value 86.
  17. Three digits number
    plot How many are three-digit integers such that in they no digit repeats?
  18. Subway
    metro Subway train went between two stations that gradually accelerated for 26 seconds and reached a speed of 72 km/h. At this rate, went 56 seconds. Then 16 seconds slowed to a stop. What was the distance between the stations?
  19. Temperature calculus
    snowman Calculate percentage of temperature increase if changed from 18°C to 33°C?
  20. Pure quadratic equation
    kvadrat Solve pure quadratic equation ?.

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