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?

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