Mathematics for IGCSE & O level - Powers And Roots (Section 1)

  • 1
    Which operation does the symbol √ represent?
    Svare
    (C)
    Finding the square root
  • 2
    What is the cube root of 1000?
    Svare
    (A)
    10
  • 3
    What is the positive square root of 169?
    Svare
    (C)
    13
  • 4
    Which of the following is equivalent to 2⁷?
    Svare
    (C)
    128
  • 5
    What is the result of 40.84101 x 2.4²?
    Svare
    (C)
    235.2577
  • 6
    The cube root of 1728 is:
    Svare
    (B)
    12
  • 7
    What is the value of 2.5⁴?
    Svare
    (C)
    39.0625
  • 8
    If a cube has a volume of 216 cm³, what is the length of one side?
    Svare
    (C)
    6 cm
  • 9
    What is the result of 1.2³?
    Svare
    (B)
    1.728
  • 10
    What is the cube of the integer 2?
    Svare
    (C)
    8
  • 11
    Which of the following is a square number AND a cube number?
    Svare
    (D)
    64
  • 12
    What is the square root of 144?
    Svare
    (C)
    12
  • 13
    What are the two answers that must be used to get to the volume of a cube?
    Svare
    B
    C
  • 14
    Which of the following statements are correct regarding sets P, Q, and R if Q ⊆ P, Q ∩ R = ∅, and P ∩ R ≠ ∅?
    Svare
    C
    D
  • 15
    Which number, when cubed, equals 1?
    Svare
    (B)
    1
  • 16
    Which of the following represents the area of a square with a side of 7?
    Svare
    (C)
    49
  • 17
    What is the value of 4² × ³√390625?
    Svare
    (C)
    1600
  • 18
    What operation must be performed first in the calculation 7² - 4²?
    Svare
    (C)
    Exponentiation (Squaring)
  • 19
    What is the cube root of 64?
    Svare
    (A)
    4
  • 20
    If n(A ∪ B) = n(C), and the Venn diagram shows n(A ∩ B) = 7, n(A) = 2x, n(B) = 5, n(C) = 8, what is x?
    Svare
    (A)
    1.5
  • 21
    How can you write 4*4*4 using exponents?
    Svare
    (B)
  • 22
    Which of the following is the cube of 3?
    Svare
    (D)
    27
  • 23
    What is the result of 0.7²?
    Svare
    (C)
    0.49
  • 24
    What set notation would you use for multiples of 12 in terms of E, T, and F (multiples of 2, 3, and 4, respectively)?
    Svare
    (D)
    T ∩ F
  • 25
    What is the value of 25²?
    Svare
    (A)
    625
  • 26
    What is the value of ∛27?
    Svare
    (A)
    3
  • 27
    What is the result of 5³ - 2³?
    Svare
    (C)
    97
  • 28
    What is ∛1?
    Svare
    (B)
    1
  • 29
    If the area of a square is 144 cm², what is the length of one side?
    Svare
    (B)
    12 cm
  • 30
    What is the result of the expression 3.4⁴?
    Svare
    (C)
    133.6336
  • 31
    The side length of a cube has been measured to be 3 cm. What is the cube's volume?
    Svare
    (D)
    27 cm³
  • 32
    If you have a square with an area of 81, what is the length of one side?
    Svare
    (D)
    9
  • 33
    Which of these is the same as 5²?
    Svare
    (D)
    25
  • 34
    Which operation is the inverse of squaring?
    Svare
    (C)
    Taking the square root
  • 35
    The square root of 49 is:
    Svare
    (B)
    7
  • 36
    What is the square of 12?
    Svare
    (C)
    144
  • 37
    What does the square root of a number represent?
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    (B)
    The number that, when multiplied by itself, equals the original number.
  • 38
    Which of the following is a square number?
    Svare
    (B)
    25
  • 39
    Which key operations are typically labeled on a calculator for powers and roots?
    Svare
    A
    B
    C
    D