Numbers
Polynomials
Equations, inequations and systems
Similarity
Trigonometry
Analytic geometry
100
There is a number that it is the relationship between the length of the circumference of a circle and its diameter. It is also in the formula of the area of a circle.
Could you tell us the number we are talking about?
Number
pi
100
In the polynomial
3x^4 -2x^3 +7x-3
The number 3, -2, 7 and -3 are called .....
The coefficients
100
In a second degree equation
ax^2 + bx +c =0
What is the difference between a complete and an incomplete equation?
In a complete second degree equation a, b and c are different from zero.
In an incomplete second degree equation b or/and c are cero.
100
We have a plan with a scale of 1:200. What does it mean?
It means that 1cm on the plan corresponds to 200cm in reality.
100
Define the sine of an angle
("length of the leg opposite " alpha)/"length of the hypotenuse"
100
Which letter of the Greek alphabet do we use as a parameter in the vector equation?
We use
lambda
200
Which numbers can be expressed as the quotient of two integers ?
Rational numbers or fractions
200
Could you explain what the degree of a polynomial is?
The degree of the monomial with the highest degree.
200
Name the three methods for solving systems of equations
Substitution, equalisation and reduction.
200
Can you tell me the Pythagorean theorem?
The sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
200
Define the tangent of an angle
("length of the leg opposite to " alpha)/("length of the leg adjacent to " alpha)
200
What is the magnitude of a vector vec "AB" ?
It is the distance from A to B.
300
There is another fundamental irrational number in mathematics. It is named after Leonhard Euler, one of the most important mathematicians in history and it is well known for being the base of a logarithm.
What is this fundamental irrational number?
Number
e
300
Tell us one use of the Ruffini's rule.
Dividing a polynomial by x-a or factorizing a polynomial.
300
An ............ is an algebraic inequality.
What is the word missing?
Inequation
300
Which famous theorem do we have in the image?
The Thales's theorem
300
Could you tell us one of the basic trigonometric identities ?
sin^2 alpha + cos^2 alpha = 1
or
tan alpha = sin alpha / cos alpha
300
How do you calculate the components of a vector vec "AB" ?
Doing the operation
B-A
400
Use the definition of logarithm to find
log_5 125
log_5 125 = 3
400
How does it work the proof of polynomial division?
"Dividend" = "Divisor"*"Quotient"+"Remainder"
400
What is the maximum number of solutions a biquadratic equation can have?
The maximum number of solutions for a biquadratic equation is four.
400
How many criteria do we have for similar triangles?
We have three criteria.
400
What does the Sine theorem say?
400
What is the difference between vector vec "AB" and vec "BA" ?
They have the same direction and magnitude but different orientation.
500
Tell us this number in scientific notation
123,4*10^-4
The answer is
1,234*10^-2
500
Look at this number triangle
What it its name?
Pascal's triangle or Tartaglia's triangle
500
Tell us how to solve this equation
log_5 (2x-3) = 1
Applying the definition of a logarithm.
500
When do we have two similar triangles?
Two similar triangles have proportional sides and equal angles.
500
What does the cosine theorem say?
500
In the straight line y = 2x - 6 . Give a direction vector.
The direction vector is
vec d = (1,2)