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 ?.
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?
If tg α = 9.6, Calculating sin α, cos α, cotg α .
We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times?
What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?
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)
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.
The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace
In how many ways can 9 shuttle vans line up at the airport?
If the angle α is acute, and cotg α = 1/3. Determine the value of sin α, cos α, tg α.
- MF graduate
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