Test11

For 11 years old young

1st Bimester - THE SET OF THE NATURAL NUMBERS

  1. Look at the sets A={0, 2, 4, 6} and B={1, 3, 5}. Answer T or F for true or false:
         a) 1 � A
         b) 4 � A
         c) 3 � B
         d) 0 � A
  2. Represent the following sets:
         a) Natural numbers lower than 2.
         b) Natural numbers lower than 0.
  3. Fulfill with equal (=) or different (�):
         a) {1, 2, 5} ... {5, 1, 2}
         b) {2, 3, 4, 5} ... {2, 3, 4, 7}
         c) {5, 4, 3, 2, 1} ... {1, 2, 3, 4, 5}
  4. Complete with � or �:
         a) {1} ... {1, 2, 5}
         b) {2} ... {3, 4, 5}
         c) {5} ... {1, 3, 5}
  5. Give the union (A�B) and the intersection (A�B) of the sets
    A={0, 1, 2, 3} and B={2, 3, 4, 5, 6}.

2nd Bimester - SYSTEM OF NUMERATION AND THE FOUR FUNDAMENTAL OPERATIONS

  1. Write the numeral correspondent to each number:
         a) 3 thousands, 5 hundreds, 4 tens, 1 unity:
         b) 6 thousands, 2 hundreds, 0 tens, 5 unity:
         c) 8 thousands, 1 hundred, 3 tens, 9 unity:
         d) 3 tens of thousands, 1 thousand, 7 hundreds, 2 tens, 5 unity:
  2. Use the addictive property for achieving the unknown value:
         a) a + 7 = 3 + 7 � a = ...
         b) m + 2 = 6 + 2 � m = ...
         c) x + 4 = 4 + 9 � x = ...
         d) y + 11 = k + 11 � y = ...
  3. Using the fundamental relation of the subtraction, fulfill the spaces:
         a) 15 + 8 = 23 � 23 - 8 = ...
         b) 9 + 5 = 14 � 14 - ... = ...
         c) x + 6 = 13 � ... - ... = ...
  4. Give the name of the multiplicative property which is being used:
         a) 7�(2+3) = 7�2 + 7�3 ...................
         b) 5�2 = 2�5 ....................................
         c) 9�1 = 9 ...........................................
         d) 4�(5�2) = (4�5)�2 ........................
  5. Achieve the value of the each expression:
         a) 216:27
         b) 5 + 3�2 - 12:3
         c) 51:(5 + 2�6)
         d) 27:(12 - 3) + 15:(9 - 4)
         e) 12:4 + 7�2 + 15:5 - 121:11
3rd Bimester - POTENTIATION, RADICIATION AND THE SET OF THE RELATIVE INTEGER NUMBERS

  1. Write in form of potences:
         a) 3�3�3�3 =           b) 5�5�5 =           c) 7�7 =           d) 2�2�2�2�2�2 =
  2. Rewrite the potences according to the indicated property:
         a) First property: 53.54 =
         b) Second property: 75:72 =
         c) Third property: (34)2 =
         d) Fourth property: (26.56) =
  3. Achieve the value of the following radicals:
         a) �9 =            b) �4 =            c) �16 =            d) �81 =            e) �100 =
  4. Compute the value of the following expressions with relative integer numbers:
         a) (+5)+(-2)+(-8)+(+3) =
         b) (+12)-(+3)+(-4)-(-6)-(-1) =
         c) (-3).(-2).(-4) =
         d) (+18):(-3) + (-12+4):(-2) =
         e) (+3)2 + (-2)3 + (-1)5 - �36 =
  5. Apply the distributive property:
         a) (8 + 12 - 11):7 =
         b) (x - 2):5 =
         c) 8�(9 - y) =
         d) (5:y)3 =
4th Bimester - RATIONAL NUMERS: DECIMAL NUMERALS AND MEASURES

  1. Transform the decimal fractions in decimal numbers:
         a) 7/100 =               b) 5/10 =               c) 17/10000 =               d) 29/10 =               e) 531/1000 =
  2. Effectuate each calculus:
         a) .32 + 4.27 + 12.321 =
         b) 32.17 - 15.9863 =
         c) 2.18�(-3.04) + .15�.301 =
         d) .6:.012 =
         e) (.5)2 - (.09)2 =
  3. Mark T or F in each parentesis for meanning true or false:
    Figure
         (  ) BC is a segment of straight line.
         (  ) r�BF = {D}.
         (  ) BF is a semi straight line.
         (  ) B, D and C are colinear points.
         (  ) s and t are seccant lines.
         (  ) s and t are parallel semi straight lines.
         (  ) The points B, D, E and C form a closed polygon.
         (  ) The points B, D, E and C form a non-convex polygon.
         (  ) A polygon with seven sides is said a heptagon.
  4. Transform each measure to its basic unity (m, m2, m3 or g):
         a) 2345 cm           b) 12456 mm           c) 328 dm2           d) .45 km2           c) 52 dm3           c) 239 kg
  5. Achieve the perimeter and the area (or only the volume when solid):
         a) Square with 15 m in each side.
         b) Circle with ray measuring 4 m.
         c) Rectangle with sides of 8 m and 3 m.
         d) Cube with 5 m in each edge.
         e) Cone with ray of 4 m and height of 9 m. (V=pr2h/3)


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