math

• What is the duration of the M2 exam?

  1 hour and 45 minutes
• Why is it important to study M1 topics when preparing for M2?

  Because M2 includes both M1 and M2 topics
• What type of paper is the M2 exam?

  Calculator paper
• What are the four categories of topics covered in M2?

  Number, statistics, geometry, and algebra
• What is the purpose of the revision checklist mentioned in the video?

  • To track topics covered
  • To provide video numbers for detailed explanations
  • To ensure comprehensive revision
• Where can students find the ultimate CM2 revision question booklet?

  In the description below the video
• How can students check their answers in the revision question booklet?

  By scanning the QR code provided
• What is the recommended study method for M2 preparation?

  Spend five to ten minutes every day studying
• What is the first topic covered in the M2 revision video?

  Index notation
• How can the expression \(5 \times 5 \times 5\) be written in index notation?

  As \(5^3\)
• What does the term "index notation" refer to?

  Writing numbers with powers to indicate repeated multiplication
• How would you calculate \(2^6\) using a calculator?

  Press 2, then the power button, then 6, and then equals
• What are the three laws of indices mentioned in the video?

  Multiplying powers, dividing powers, and power of a power
• If you multiply \(m^3\) by \(m^4\), what is the result in index form?

  As \(m^7\)
• What is the result of dividing \(m^8\) by \(m^2\) in index form?

  As \(m^6\)
• What does it mean to have a power of a power in indices?

  You multiply the powers together
• If you have \(3^4 \times 3^2\), what is the result in index form?

  As \(3^6\)
• What is the result of \(3^{10} \div 3^2\) in index form?

  As \(3^8\)
• If you have \(4^2\) raised to the power of 3, what is the result in index form?


  As \(4^6\)
• What is the definition of a prime number?

  A number greater than one that has no positive divisors other than 1 and itself
• How can you express 60 as a product of primes?

  As \(2^2 \times 3 \times 5\)
• What is a prime factor tree?

  A method to break down a number into its prime factors
• If \(m\) is expressed as \(2 \times 3^2\), what is the value of \(m\)?

  18
• How do you express \(10m\) as a product of primes if \(m = 18\)?

  As \(2^2 \times 3^2 \times 5\)
• What is the significance of having even powers in prime factorization for square numbers?

  All powers must be even to form a square number
• If \(280\) is expressed as \(2^3 \times 5 \times 7\), what must be multiplied to get a square number?

  By multiplying by \(2 \times 5 \times 7\)
• How do you determine the lowest whole number needed to make \(280\) a square number?

  By ensuring all prime factors have even powers
• What is the relationship between prime factorization and square numbers?

  Square numbers have all prime factors raised to even powers
• What is the process to find a cube number from a given number's prime factorization?

  All prime factors must have powers that are multiples of three
• What is the first step to find a square number from given parameters?

  Share out the parameters as evenly as possible and add extra ones as needed.
• What is the shortcut to find a square number using the numbers in a circuit?

  Make all the powers even.
• If you have the numbers \(2^3\), \(5^1\), and \(7^1\), what extra factors do you need to multiply to get a square number?

  You need to multiply by \(2^1\), \(5^1\), and \(7^1\).
• What must all powers be for a number to be a cube number?

  All powers must be multiples of three.
• What is the first step to find the lowest common multiple (LCM) of two numbers?

  Consider the multiples of both numbers.
• How do you determine the LCM of 6 and 15?

  The LCM is the first number that appears in both lists of multiples.
• What is the LCM of 6 and 15?

  30
• What is the process to find the highest common factor (HCF) of two numbers?

  Consider the factors of both numbers and find the highest common one.
• What are the factors of 16?

  1, 2, 4, 8, and 16.
• What are the factors of 20?

  1, 2, 4, 5, 10, and 20.
• What is the highest common factor of 16 and 20?


  4