Multiple Choice Questions
Unit B2
Number Classification and Bases
For each of these questions, choose the option (A, B, C or D) that is TRUE.
1
Which of the following numbers are irrational?

0.45   ,     ,     ,   0.6...   ,     ,   π

  • (A)
      and   π
  • (B)
     ,   0.6...   and   π
  • (C)
    0.6...   and   π
  • (D)
      and   π
2
Which of the following numbers is irrational?
  • (A)
    1 −
  • (B)
    π2
  • (C)
  • (D)
    30 − 3−1 − 3−2
3
(1 + )(3 − ) =
  • (A)
    1
  • (B)
    2
  • (C)
    2 − 1
  • (D)
    1 + 2
4
a = 1 + and b = 1 − . Which one the following numbers is irrational?
  • (A)
    a + b
  • (B)
    ab
  • (C)
    (a + b)2
  • (D)
    a − b
5
(2 + )(2 − ) =
  • (A)
    1
  • (B)
    4 + 4
  • (C)
    4 − 4
  • (D)
    7
6
a = + 1 ,   b = − 1

Which of the following numbers are rational?

  • (A)
    a + b
  • (B)
    a2
  • (C)
    b2
  • (D)
    (a + b)2
7
The following number is in base 2.

1 1 1 0 0 1

What is its value in base 10 ?

  • (A)
    22
  • (B)
    39
  • (C)
    57
  • (D)
    114
8
The number 102 written in binary is
  • (A)
    0 1 1 0 0 1 1
  • (B)
    1 1 0 0 1 1
  • (C)
    1 1 0 1 1 0
  • (D)
    1 1 0 0 1 1 0
9
In binary arithmetic, calculate

1 1 0 1 0 − 1 1 0 1

  • (A)
    1 0 1
  • (B)
    1 0 1 1
  • (C)
    1 1 0 1
  • (D)
    1 0 1 0 1
10
The base 6 number 1 1 2 5 converted to base 10 is
  • (A)
    253
  • (B)
    269
  • (C)
    538
  • (D)
    1159
11
The number 362 converted to base 8 is
  • (A)
    255
  • (B)
    363
  • (C)
    472
  • (D)
    552
Total: - of marks
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