# 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.