# Examples for secondary school students

#### Number of problems found: 2028

• Find the 12 Find the equation of the circle with center (3,7) and circumference 8π units.
• Same area There is a given triangle. Construct a square of the same area.
• Insert 7 Insert five harmonic means between 3 and 18
• Reciprocal value How do I calculate a number x that is 9 greater than its reciprocal (1/x)?
• Olympics metals In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
• Percentage increase Increase number 400 by 3.5%
• Combinatorics The city has 7 fountains. Works only 6. How many options are there that can squirt ?
• Powers Express the expression ? as the n-th power of the base 10.
• Laws From which law follows directly the validity of Pythagoras' theorem in the right triangle? ?
• Factors Can the expression ? be factored into rational factors?
• Wavelength Calculate the wavelength of the tone frequency 11 kHz if the sound travels at speeds of 343 m/s.
• Tricolors From the colors - red, blue, green, black and white, create all possible tricolors.
• HP - harmonic progression Determine the 10th term of the harmonic progression 6,4,3,…
• What are What are the four terms between 4 and 19?
• Tenth member Calculate the tenth member of geometric sequence when given: a1=1/2 and q=2
• Five members Write first 5 members geometric sequence and determine whether it is increasing or decreasing: a1 = 3 q = -2
• Scalar product Calculate the scalar product of two vectors: (2.5) (-1, -4)
• Bits, bytes Calculate how many different numbers can be encoded in 16-bit binary word?
• Tokens In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities.
• Equation 23 Find value of unknown x in equation: x+3/x+1=5 (problem finding x)

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