# Examples for secondary school students

#### Number of problems found: 2186

- Cars plates

How many different licence plates can country have, given that they use 3 letters followed by 3 digits? - Prize

How many ways can be rewarded 9 participants with the first, second, and third prizes in a sports competition? - Bits, bytes

Calculate how many different numbers can be encoded in 16-bit binary word? - Harmonic HM example

Harmonic means of 4 and 8. - Menu

On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu? - Vectors

For vector w is true: w = 2u-5v. Determine coordinates of vector w if u=(3, -1), v=(12, -10) - AS - sequence

What are the first ten members of the sequence if a11=22, d=2. - Cards

The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace - Reciprocal

Calculate reciprocal of z=0.8-1.8i: - Difference AP 4

Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1 - GP - 8 items

Determine the first eight members of a geometric progression if a_{9}=512, q=2 - Log

Calculate value of expression log |3 +7i +5i^{2}| . - Sequence 3

Write the first 5 members of an arithmetic sequence: a_{4}=-35, a_{11}=-105. - Sequence

Write the first 7 members of an arithmetic sequence: a_{1}=-3, d=6. - Intersect and conjuction

Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB' - One three

We throw two dice. What is the probability that max one three falls? - Sequence 11

What is the nth term of this sequence 1, 1/2, 1/3, 1/4, 1/5? - Olympics metals

In how many ways can be win six athletes medal positions in the Olympics? Metal color matters. - Gasholder

The gasholder has spherical shape with a diameter 23 m. How many m^{3}can hold in? - Wavelength

Calculate the wavelength of the tone frequency 11 kHz if the sound travels at speeds of 343 m/s.

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