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

  • 1
    Which of the following is a composite number?
    პასუხი
    (D)
    12
  • 2
    Identify a pair of numbers where their HCF is 1.
    პასუხი
    (C)
    7 and 10
  • 3
    What is the reciprocal of 1/5?
    პასუხი
    (B)
    5
  • 4
    What is the simplified fraction for 0.5?
    პასუხი
    (A)
    1/2
  • 5
    What are the prime factors of 42?
    პასუხი
    (A)
    2, 3, 7
  • 6
    Which of the following is a prime number?
    პასუხი
    (C)
    23
  • 7
    Which statement is true about the reciprocal of a number?
    პასუხი
    (B)
    The reciprocal of a whole number is always a fraction.
  • 8
    Which of the following is the same as 0.666...
    პასუხი
    (B)
    2/3
  • 9
    Which of the following statements are true regarding the highest common factor (HCF)?
    პასუხი
    A
    B
    D
  • 10
    Which of the following are rational numbers?
    პასუხი
    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?
    პასუხი
    (B)
    12 mm
  • 12
    Which of these is a correct description of a rational number?
    პასუხი
    (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?
    პასუხი
    (C)
    3
  • 14
    What is the HCF of 12 and 15?
    პასუხი
    (B)
    3
  • 15
    Which of the following is equivalent to 0. 25?
    პასუხი
    (C)
    1/4
  • 16
    Which of the following is NOT a rational number?
    პასუხი
    (C)
    √2
  • 17
    What is the reciprocal of -2?
    პასუხი
    (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?
    პასუხი
    (C)
    6
  • 19
    What are the prime factors of 28?
    პასუხი
    (B)
    2, 2, 7
  • 20
    What are the prime factors of 18?
    პასუხი
    (B)
    2, 3, 3
  • 21
    What is the LCM of 8 and 10?
    პასუხი
    (B)
    40
  • 22
    What is the next number in the sequence: 2, 3, 5, 7, ...?
    პასუხი
    (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?
    პასუხი
    (C)
    21
  • 24
    What type of number is √16?
    პასუხი
    (B)
    Integer
  • 25
    Which statement about prime numbers is correct?
    პასუხი
    (C)
    There are infinitely many prime numbers.
  • 26
    Which of the following numbers is NOT a factor of 36?
    პასუხი
    (D)
    11
  • 27
    What is 5^2 - 3^2?
    პასუხი
    (B)
    16
  • 28
    What is the LCM of 15 and 20?
    პასუხი
    (C)
    60
  • 29
    What are the first four prime numbers?
    პასუხი
    (B)
    2, 3, 5, 7
  • 30
    What is the lowest common multiple (LCM) of 4 and 6?
    პასუხი
    (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?
    პასუხი
    (A)
    10
  • 32
    What is the prime factorization of 50?
    პასუხი
    (B)
    2 x 5^2
  • 33
    What is the square root of 144?
    პასუხი
    (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?
    პასუხი
    (A)
    10:00 am
  • 35
    What is the value of √81?
    პასუხი
    (B)
    9
  • 36
    What is the HCF of 16 and 24?
    პასუხი
    (C)
    8
  • 37
    What is the highest common factor (HCF) of 24 and 36?
    პასუხი
    (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?
    პასუხი
    (C)
    9
  • 39
    What is the product of the prime factors of 30?
    პასუხი
    (B)
    30
  • 40
    What is the prime factorization of 72?
    პასუხი
    (C)
    2^3 x 3^2
  • 41
    Which number has the prime factors 2, 3, and 5?
    პასუხი
    (C)
    30
  • 42
    Which of the following is an example of a recurring decimal?
    პასუხი
    (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?
    პასუხი
    (B)
    10:04 PM
  • 44
    Which of the following sets of numbers are all natural numbers?
    პასუხი
    (B)
    1, 2, 3, 4
  • 45
    Which of the following is NOT a property of prime numbers?
    პასუხი
    (C)
    They are all odd numbers.
  • 46
    What is the reciprocal of 2/3?
    პასუხი
    (C)
    3/2
  • 47
    What is the name for a number that cannot be written as a fraction?
    პასუხი
    (C)
    Irrational number
  • 48
    Which of the following numbers is NOT a natural number?
    პასუხი
    (A)
    0
  • 49
    Which set of numbers are all integers?
    პასუხი
    (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?
    პასუხი
    (A)
    6 and 12