Examples for secondary school students

Number of problems found: 1973

  • As shown
    rt_triangle As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6, then the perimeter of △ BDE
  • Soccer teams
    lopticky Have to organize soccer teams. There are 3 age groups. How many different ways can you organize teams of ten for each age group? Is this a permutation or combination?
  • 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?
  • Bananas and mango
    banan 5 kg of bananas and three kilograms of mango cost 146 CZK, two kilograms of bananas and 5 kilograms of mango cost 142 CZK. How much is a kilogram of bananas, and how many mangoes?
  • The accompanying
    books_2 The accompanying table gives the probability distribution of the number of courses randomly selected student has registered Number of courses 1 2 3 4 5 6 7 Probability 0.02 0.03 0.1 0.3 0.4 - 0.01 respectively. a) Find the probability of a student registe
  • Three colors
    balls2 Find the probability that 3 balls of the same color will be drawn from fate with 10 white, 10 red, and 10 blue balls.
  • Quarantine cupcakes
    cake Mr. Honse was baking quarantine cupcakes. Mrs. Carr made twice as many as Mr. Honse. Ms. Sanchez made 12 cupcakes more than Mr. Honse. If they put all their cupcakes together (which they can’t because. .. quarantine!) they would have 108 cupcakes. How may
  • Playing cards
    binomial_1 From 32 playing cards containing 8 red cards, we choose 4 cards. What is the probability that just 2 will be red?
  • Find d 2
    lines Find d in an A. P. whose 5th term is 18 and 39th term is 120.
  • Columns of two and three
    skola_2 When students in one class stand in columns of two there is none left. When he stands in columns of three, there is one student left. There are 5 more double columns than three columns. How many students are in the class?
  • IQ Intelligence quotient
    normal_d_1 Intelligence quotient (IQ) is a standardized score used as the output of standardized intelligence psychological tests to quantify a person's intelligence with the rest of the population (respectively to a given group). Intelligence has an approximately n
  • The modulus
    abs_value Find the modulus of the complex number 2 + 5i
  • Triple and quadruple rooms
    hotel Up to 48 rooms, some of which are triple and some quadruple, accommodated 173 people so that all beds are occupied. How many triple and how many quadruple rooms were there?
  • Common ratio
    growth If 200 units of a commodity are consumed in a first year, and if the annual rate of increase in consumption is 5% (a) what amount is consumed in the 8th year; (b) in the first 15 years?
  • When I
    age When I am as old as my older brother is today, my brother will be twice as old as I am today. a) How old is my brother if I am 8 years old today? b) How old am I if my brother is 21 today?
  • The ages
    family_2 The ages of the four sons make an arithmetic sequence, the sum of which is the age of the father today. In three years, the father's age will be the sum of the ages of the three eldest sons, and in the next two years and three months, the father's age wil
  • Birthdays
    bonbons_1 In the classroom, students always give candy to their classmates on their birthdays. The birthday person always gives each one candy, and he does not give himself. A total of 650 candies were distributed in the class per year. How many students are in the
  • The projectile
    ballistic The projectile was fired horizontally from a height of h = 25 meters above the ground at a speed of v0 = 250 m/s. Find the range and flight time of the projectile.
  • Find next member
    sequence_geo Find x if the numbers from a GP 7, 49, x.
  • What are 2
    seq What are the two more terms of the GP a, ax, ax2, ax3, __, __?

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