# 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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