Examples for secondary school students

Number of problems found: 2059

  • Derivation
    fx Exists a function whose derivation is the same function?
  • Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
  • Reciprocal equation 2
    parabola2 Solve this equation: x + 5/x - 6 = 4/11
  • Missing term
    seq What is the missing term in the sequence? _____, 13, 30, and 47?
  • Log
    exp_log Calculate value of expression log |3 +7i +5i2| .
  • AP - simple
    progression_1 Find the first ten members of the sequence if a11 = 132, d = 3.
  • Dice
    dices2_4 We throw five times the dice. What is the probability that six fits exactly twice?
  • AP - basics
    ap Determine first member and differentiate of the the following sequence: a3-a5=24 a4-2a5=61
  • Terms of GP
    exp_growth What is the 6th term of the GP 9, 81, 729,. .. ?
  • Scalene triangle
    triangles_1 Solve the triangle: A = 50°, b = 13, c = 6
  • Negative difference
    arithmet_seq Find four arithmetic progression members between 7 and -6.
  • Number
    sqrt_2 Is number 5.146852 irrational?
  • Expressions 3
    parabola2_1 If k(x+6)= 4x2 + 20, what is k(10)=?
  • Simple interest 3
    coins-uk_1 Find the simple interest if 11928 USD at 2% for 10 weeks.
  • Committees
    globe How many different committees of 2 people can be formed from a class of 21 students?
  • Permutations without repetition
    permutations_3 From how many elements, we can create 720 permutations without repetition?
  • Add vector
    vectors_2 Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
  • Sequence - 5 members
    schody Write first five members of the sequence ?
  • The observatory
    kupola The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal needs to be covered to cover it, and 15 percent must be added to the minimum amount due to joints and waste?
  • Isosceles trapezoid
    lichobeznik_5 Calculate the content of an isosceles trapezoid whose bases are at ratio 5:3, the arm is 6cm long and it is 4cm high.

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...