# Examples for secondary school students

#### Number of problems found: 2059

• Equation 23 Find value of unknown x in equation: x+3/x+1=5 (problem finding x)
• Sequence 3 Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.
• 2nd class variations From how many elements you can create 2450 variations of the second class?
• Goniometric form Determine goniometric form of a complex number ?.
• Euclid2 In right triangle ABC with right angle at C is given side a=27 and height v=12. Calculate the perimeter of the triangle.
• The gems The jeweler selects 4 gems for the ring. It has rubies, emeralds and sapphires. How many options does he have?
• Q-Exam If tg α = 9.6, Calculating sin α, cos α, cotg α .
• Dice We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times?
• Word What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?
• Lottery The lottery is 60000 elk in which 6200 wins. What is the probability that the purchase of 12 elks won nothing?
• Angle between lines Calculate the angle between these two lines: ? ?
• Vector 7 Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.
• Geometric sequence 5 About members of geometric sequence we know: ? ? Calculate a1 (first member) and q (common ratio or q-coefficient)
• Root Use law of square roots roots: ?
• Playing cards How many possible ways are to shuffle 7 playing cards?
• Exponential equation Solve for x: (4^x):0,5=2/64.
• Cards The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace
• Vans In how many ways can 9 shuttle vans line up at the airport?
• Cotangent If the angle α is acute, and cotg α = 1/3. Determine the value of sin α, cos α, tg α. 78 school students graduate from mathematics or physics. There are three times more students who graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate fro