Mathematics for IGCSE & O level - Number (Section 1)

  • 1
    Which of the following is a composite number?
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    (D)
    12
  • 2
    Identify a pair of numbers where their HCF is 1.
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    (C)
    7 and 10
  • 3
    What is the reciprocal of 1/5?
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    (B)
    5
  • 4
    What is the simplified fraction for 0.5?
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    (A)
    1/2
  • 5
    What are the prime factors of 42?
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    (A)
    2, 3, 7
  • 6
    Which of the following is a prime number?
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    (C)
    23
  • 7
    Which statement is true about the reciprocal of a number?
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    (B)
    The reciprocal of a whole number is always a fraction.
  • 8
    Which of the following is the same as 0.666...
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    (B)
    2/3
  • 9
    Which of the following statements are true regarding the highest common factor (HCF)?
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    A
    B
    D
  • 10
    Which of the following are rational numbers?
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    A
    C
    D
  • 11
    A rectangle has dimensions 240 mm by 204 mm. What is the largest possible side length for identical squares that can cover the rectangle completely?
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    (B)
    12 mm
  • 12
    Which of these is a correct description of a rational number?
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    (B)
    A number that can be expressed as a terminating or recurring decimal.
  • 13
    Which of the following is a common factor of 18 and 24?
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    (C)
    3
  • 14
    What is the HCF of 12 and 15?
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    (B)
    3
  • 15
    Which of the following is equivalent to 0. 25?
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    (C)
    1/4
  • 16
    Which of the following is NOT a rational number?
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    (C)
    √2
  • 17
    What is the reciprocal of -2?
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    (B)
    -1/2
  • 18
    The prime factorization of 120 is 2^3 x 3 x 5. Based on this, which of the following is a factor of 120?
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    (C)
    6
  • 19
    What are the prime factors of 28?
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    (B)
    2, 2, 7
  • 20
    What are the prime factors of 18?
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    (B)
    2, 3, 3
  • 21
    What is the LCM of 8 and 10?
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    (B)
    40
  • 22
    What is the next number in the sequence: 2, 3, 5, 7, ...?
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    (D)
    11
  • 23
    The HCF of two numbers is 7, and the LCM is 42. If one of the numbers is 14, what is the other number?
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    (C)
    21
  • 24
    What type of number is √16?
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    (B)
    Integer
  • 25
    Which statement about prime numbers is correct?
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    (C)
    There are infinitely many prime numbers.
  • 26
    Which of the following numbers is NOT a factor of 36?
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    (D)
    11
  • 27
    What is 5^2 - 3^2?
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    (B)
    16
  • 28
    What is the LCM of 15 and 20?
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    (C)
    60
  • 29
    What are the first four prime numbers?
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    (B)
    2, 3, 5, 7
  • 30
    What is the lowest common multiple (LCM) of 4 and 6?
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    (B)
    12
  • 31
    The HCF of two numbers is 5. The LCM of the same two numbers is 60. If one of the numbers is 15, what is the other number?
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    (A)
    10
  • 32
    What is the prime factorization of 50?
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    (B)
    2 x 5^2
  • 33
    What is the square root of 144?
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    (B)
    12
  • 34
    If a bus leaves a station every 40 minutes and a train leaves the same station every 45 minutes, at what time will they next leave the station together, assuming they both left the station at 7:00 am?
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    (A)
    10:00 am
  • 35
    What is the value of √81?
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    (B)
    9
  • 36
    What is the HCF of 16 and 24?
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    (C)
    8
  • 37
    What is the highest common factor (HCF) of 24 and 36?
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    (B)
    12
  • 38
    The HCF of two numbers is 3. The LCM of the same two numbers is 18. If one number is 6, what is the other number?
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    (C)
    9
  • 39
    What is the product of the prime factors of 30?
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    (B)
    30
  • 40
    What is the prime factorization of 72?
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    (C)
    2^3 x 3^2
  • 41
    Which number has the prime factors 2, 3, and 5?
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    (C)
    30
  • 42
    Which of the following is an example of a recurring decimal?
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    (B)
    0.333...
  • 43
    Two lighthouses flash at intervals of 22 seconds and 16 seconds, respectively. If they flash together at 10:00 PM, when will they next flash together?
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    (B)
    10:04 PM
  • 44
    Which of the following sets of numbers are all natural numbers?
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    (B)
    1, 2, 3, 4
  • 45
    Which of the following is NOT a property of prime numbers?
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    (C)
    They are all odd numbers.
  • 46
    What is the reciprocal of 2/3?
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    (C)
    3/2
  • 47
    What is the name for a number that cannot be written as a fraction?
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    (C)
    Irrational number
  • 48
    Which of the following numbers is NOT a natural number?
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    (A)
    0
  • 49
    Which set of numbers are all integers?
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    (B)
    -3, 0, 5, 9
  • 50
    If the LCM of two numbers is 36 and their HCF is 6, which of the following pairs could be the two numbers?
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    (A)
    6 and 12