Examples for secondary school students

Number of problems found: 2059

  • Parametric equation
    line Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
  • Coordinate
    exp_ln Determine missing coordinate of the point M [x, 120] of the graph of the function f bv rule: y = 5x
  • Fish tank
    zebra_fish A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
  • Sequence 2
    seq2 Write the first 5 members of an arithmetic sequence a11=-14, d=-1
  • Minimum of sum
    derive_1 Find a positive number that the sum of the number and its inverted value was minimal.
  • Vectors
    green For vector w is true: w = 2u-5v. Determine coordinates of vector w if u=(3, -1), v=(12, -10)
  • Find d 2
    lines Find d in an A. P. whose 5th term is 18 and 39th term is 120.
  • Fruits
    banan_1 In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit?
  • How many 2
    chart_2 How many three lettered words can be formed from letters A B C D E G H if repeats are: a) not allowed b) allowed
  • Segments
    abs Which of the pairs of numbers on the number line encloses the longest segment: ?
  • Insert 4
    arithmet_seq_1 Insert 3 arithmetic means between 3 and 63.
  • Quadratic equation
    kvadrat_2 Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  • Five-gon
    5gon_diagonal Calculate the side a, the circumference and the area of the regular 5-angle if Rop = 6cm.
  • Bouquets
    flowers In the flower shop they sell roses, tulips and daffodils. How many different bouquets of 5 flowers can we made?
  • Mixed with percentages
    percent_21 Calculate 33 1/3% of 570.
  • Sinus
    sine_cosine Determine the smallest integer p for which the equation 4 sin x = p has no solution.
  • Cosine
    cosine The point (3, 4) is on the terminal side of angle θ. cos θ = ?
  • Arc
    angles Convert to arc measures (radians): 924 ° Result write as a multiple of π
  • Compound interest
    exponential_usd Calculate time when deposit in the bank with interest 2.5% p.a. doubles.
  • Football league
    football In the 5th football league is 10 teams. How many ways can be filled first, second and third place?

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...