Test12

For 12 years old young

1st Bimester - DIVISIBILITY

  1. Give the sets M3 and M10 for multiples of 3 and multiples of 10 (enumerate at least the five initial elements).
  2. The numbers 450 and 35 finishes with the ciphers 0 or 5. So we know that they are divisible by the number ...
  3. Without effectuating the division, verify if the number 457212 is divisible by 3.
  4. Decompose in prime factors the number 180.
  5. Obtain the lowest common multiple (LCM) and the highest common factor (HCF) for the following even of numbers:
          a) 40 and 15     b) 18 and 12     c) 200 and 35     d) 84 and 14

2nd Bimester - THE SET OF THE RATIONAL NUMBERS - FRACTIONS

  1. Obtain three fractions for being equivalent to 3/4.
  2. Simplify (firstly) and sum the following couple of fractions:
          a) 6/4 and 4/10       b) 8/12 and 3/9
  3. Effectuate:
          a) 6/7 - 3/2       b) 2/5 � 3/7       c) 3/4 � -6/5       d) 4/9 : 7/5
  4. Achieve the value of the expressions:
          a) (-3/5)2 + (2/3)3       b) �(4/9)
  5. John correctly solved 5/8 of the English's test. This represented 15 questions. How many questions had the test?

3rd Bimester - FIRST GRADE EQUATION AND UNEQUALITY

  1. Solve, into the set of the natural numbers, the equations:
          a) x + 7 = 12       b) 2x + 5 = 11       c) 14 - 3x = x+6
  2. Into the set of the rational numbers, solve the following equations:
          a) 2x + 7 = 8
          b) 4x + 2 = x
          c) 9-2x = -2
          d) 3(2-t) + 5t = 10 - 2t
  3. Solve the equations:
          a) x/5 + x/3 = 3
          b) 2(x-3)/3 + x/2 = x/4
          c) (3y-2)/2 - (y+5)/4 = (5y-1)/2
  4. A rectangle has base 5 m greater than its height x. Its perimeter has measure 58 m. Obtain the measures of the base and the height.
  5. Solve the unequalities:
          a) 5x - 2 � 4
          b) 3x/2 + (x-4)/5 < (x-3)/2
          c) (3x-4)/3 - (x+2)/2 � (3x+1)/3
          d) 2(3-x) + 3x > 5x - 2
4th Bimester - PROPORTIONS, ANGLES AND POLYGONS

  1. Achieve the fourth proportional of the three numbers:
          a) 5, 6 and 8 (Remark.: 5/6 = 8/x)
          b) 3, 5 and 9
          c) 2, 7 and 6
  2. Using properties of proportions, obtain the value of x in: (2x+3)/12 = (x-2)/5
  3. Peter was absent in 6 of the 40 classes of Mathematics in this bimester. What percentage of lacks had Peter?
  4. The double of an angle is equal its complement. What is the measure of this angle?
  5. Obtain the perimeter of these figures:
          a) A triangle with sides measuring 3 m, 7 m and 9 m.
          b) A square with sides measuring 6 cm.
          c) A rectangle with base of 8 m and height of 5 m.
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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