Examples for secondary school students

Number of problems found: 2186

  • Two equations
    children_23 Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5
  • Combinations
    trezor_1 How many elements can form six times more combinations fourth class than combination of the second class?
  • Q of GP
    geometric_1 Calculate quotient of geometric progression if a1=5 a a1+a2=12.
  • Probabilities
    Venn_diagram If probabilities of A, B and A ∩ B are P (A) = 0.62 P (B) = 0.78 and P (A ∩ B) = 0.26 calculate the following probability (of union. intersect and opposite and its combinations):
  • Quadrant
    quadrants In what quadrant is a -1165° angle?
  • 2nd class combinations
    color_circle From how many elements you can create 4560 combinations of the second class?
  • Metals
    metals_2 In the Hockey World Cup play eight teams, determine how many ways can they win gold, silver and bronze medals.
  • Decelleration
    car_2 In a braking test, a vehicle that travels at 51 km/h stops in 5 s. What is the acceleration?
  • Borrowing
    test_5 I borrow 25,000 to 6.9% p.a.. I pay 500 per month. How much will I pay and for how long?
  • AP 6
    progression_ao Calculate the first five items of an arithmetic sequence if it is given: a2 – a3 + a5 = 20 a1 + a6 = 38
  • Chess
    chess How many different ways can initiate a game of chess (first pass)?
  • AVG of INT
    seq_moon What is the average of the integers from 9 throuht 52 inclusive?
  • Insert 6
    seq Insert four harmonic means between 3/7 and 3/19
  • Cancel fractions
    zlomky_15 Compress the expression of factorial: (n+6)!/(n+4)!-n!/(n-2)!
  • Exponential equation
    exp_8 Solve for x: (4^x):0,5=2/64.
  • Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  • The dice
    hracia-kocka What is the probability of events that if we throw a dice is rolled less than 6?
  • Product
    floring The product of two consecutive odd numbers is 8463. What are this numbers?
  • Election 4
    vote_1 In a certain election there are 3 candidates for president 5 for secretory and 2 for tresurer. Find how many ways the election may (turn out/held).
  • Tokens
    kamene In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities.

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...