Examples for secondary school students

Number of problems found: 2068

  • High wall
    mur I have a wall 2m high. I need a 15 degree angle (upward) to second wall 4 meters away. How high must the second wall?
  • School committee
    permutations_3 7 students was elected to the school committee. In how many ways can the President, Vice-President, Secretary and Treasurer be selected?
  • Research in school
    numbers_1 For particular research in high school, four pupils are to be selected from a class with 30 pupils. Calculate the number of all possible results of the select and further calculate the number of all possible results, if it depends on the order in which th
  • Staircase
    schody On a staircase 3.6 meters high, the number of steps would increase by 3 if the height of one step decreased by 4 cm. How high are the stairs?
  • Tournament
    turnaj Determine how many ways can be chosen two representatives from 34 students to school tournament.
  • Calculation of CN
    color_combinations Calculate: ?
  • School parliament
    slovakia There are 18 boys and 14 girls in the class. In how many ways can 3 representatives be elected to the school parliament, if these are to be: a) the boys themselves b) one boy and two girls
  • Today in school
    skola There are 9 girls and 11 boys in the class today. What is the probability that Suzan will go to the board today?
  • Log
    log if ?, what is b?
  • Airplane
    tu-144 Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high he flies?
  • Building
    Taipei_101 How high is the building that throws horizontal shadow 95.4 m long at angle 50°?
  • Statue
    michelangelo On the pedestal high 4 m is statue 2.7 m high. At what distance from the statue must observer stand to see it in maximum viewing angle? Distance from the eye of the observer from the ground is 1.7 m.
  • The tower
    veza_huly The observer sees the base of the tower 96 meters high at a depth of 30 degrees and 10 minutes and the top of the tower at a depth of 20 degrees and 50 minutes. How high is the observer above the horizontal plane on which the tower stands?
  • Competition
    sutaz 15 boys and 10 girls are in the class. On school competition of them is selected 6-member team composed of 4 boys and 2 girls. How many ways can we select students?
  • Im>0?
    ReIm Is -10i a positive number?
  • Trinity
    trojka How many different triads can be selected from group 38 students?
  • Value
    5times_1 Find the value of the expression: 6!·10^-3
  • Trigonometry
    sinus Is true equality? ?
  • Big factorial
    sierpinski How many zeros end number 116! ?
  • The mast
    octagon A 40 m high mast is secured in half by eight ropes of 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance.

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...