Test13

For 13 years old young

1st Bimester - REAL NUMBERS

  1. Obtain the by lack approximate square roots of the numbers 17 and 85.
  2. Acchieve the exact square root of the numbers 25, 196 and 225.
  3. Determine the square root of the number 6.25.
  4. Write the fractions that represent the numbers 0,444... and 0,037.
  5. Identify with Q the rational and with I the irrational numbers in:
    ��� a) �3 � b) p � c) 0,313131... � d) 1,010010001...

2nd Bimester - NOTABLE PRODUCTS AND POLYNOMIES

  1. Represent, symbolically, the following algebraic expressions:
    ��� a) The difference between a and b.
    ��� b) The square of the sum of the numbers x and y.
  2. Determine the numeric value of the following expressions, being x=2 and y=3:
    ��� a) (x+y)2+ �(y-x)
    ��� a) y / (2y-x)
  3. Determine the quocient (6x3 - 3x2 + x - 3):(x2 - 2x + 1)
  4. Develop the notable product: (2x + y3)2
  5. Factor the following polynomy: xw - yw + xz - yz


3rd Bimester - ALGEBRAIC FRACTIONS AND SYSTEMS OF EQUATIONS

  1. Determine the HCF and the LCM of the following expressions:
    ��� a) x2 + 1, x - 1
    ��� b) x2 - 9, x2 + 6x + 9
  2. Simplify the algebraic fractions:
    ��� a) (3x - 3y)/(mx - my)
    ��� a) (x - 5)/(3x - 15)
  3. Solve the following fractionary equation: 5/(3x - 6)=2/(x - 1), with set universe R - {1, 2}.
  4. Prepare and solve the system of equations:
    ��� 2x + 5y = y - 3x
    ��� 4(x - y) + 3(x + y) = 1
  5. Let be a and p two candidates to the election for class representant. The class has 47 elevens and the difference of votes has been 9 votes. How many votes each candidate did win?


4th Bimester - GEOMETRY: ANGLES AND PLANE FIGURES

  1. Give the complement and the suplement of the angle which has 50�.
  2. Obtain the value of x and y:
    ������ Paralel and transversal
  3. Determine the number of diagonals of the:
    ��� a) heptagon
    ��� b) decagon
  4. A triangle has a first angle measuring 60� and the third angle is the double of the second one. What is the measure of these second and third angles?
  5. In a circle, the central angle is 4x - 10� and a correspondent inscript angle measures
    3x - 20�. What is the value of x?


Click for Answers

����� Value of each question: 2.0
����� Ranking: 0 - 1.9: bad; 2.0 - 4.4: slow; 4.5 - 6.4: mean; 6.5 - 8.9: prepared; 9.0 - 10.0: scientist.
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Mathematics

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