# Examples for secondary school students

#### Number of problems found: 2059

• Derivation Exists a function whose derivation is the same function?
• Roots Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
• Reciprocal equation 2 Solve this equation: x + 5/x - 6 = 4/11
• Missing term What is the missing term in the sequence? _____, 13, 30, and 47?
• Log Calculate value of expression log |3 +7i +5i2| .
• AP - simple Find the first ten members of the sequence if a11 = 132, d = 3.
• Dice We throw five times the dice. What is the probability that six fits exactly twice?
• AP - basics Determine first member and differentiate of the the following sequence: a3-a5=24 a4-2a5=61
• Terms of GP What is the 6th term of the GP 9, 81, 729,. .. ?
• Scalene triangle Solve the triangle: A = 50°, b = 13, c = 6
• Negative difference Find four arithmetic progression members between 7 and -6.
• Number Is number 5.146852 irrational?
• Expressions 3 If k(x+6)= 4x2 + 20, what is k(10)=?
• Simple interest 3 Find the simple interest if 11928 USD at 2% for 10 weeks.
• Committees How many different committees of 2 people can be formed from a class of 21 students?
• Permutations without repetition From how many elements, we can create 720 permutations without repetition? Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
• Sequence - 5 members Write first five members of the sequence ?
• The observatory The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal needs to be covered to cover it, and 15 percent must be added to the minimum amount due to joints and waste?
• Isosceles trapezoid Calculate the content of an isosceles trapezoid whose bases are at ratio 5:3, the arm is 6cm long and it is 4cm high.

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