Math

• What does "side by side" represent in the notes?

  • +
• What does "side by side" represent in the notes?

  +
• What is the result of the expression \(6 + -3\)?


  3
• What is the result of the expression \(-3 + -2\)?

  • 5
• What is the result of the expression \(6 + -5\)?


  1
• What is the result of the expression \(-5 + 10\)?


  5
• What are the rules for multiplying negative and positive numbers?

  • Negative x Negative = Positive
  • Negative x Positive = Negative
• How is division related to multiplication in terms of signs?

  • Division follows the same rules as multiplication for signs.
• What are the factors of 24?

  1, 2, 3, 4, 6, 8, 12, 24
• What is the product of the prime factors of 108?

  2 x 2 x 3 x 3 x 3
• What is the definition of prime numbers?

  Numbers that have only two factors: 1 and itself
• Is 1 a prime number?

  No
• What is the only even prime number?

  2
• List the first 10 prime numbers.


  2, 3, 5, 7, 11, 13, 17, 19
• How do you express 132 as a product of its prime factors?

  2 x 2 x 3 x 11
• What is the highest common factor (HCF)?

  The biggest factor that a set of numbers have in common
• What is the HCF of 24 and 32?

  8
• What is the lowest common multiple (LCM)?

  The smallest multiple that a set of numbers have in common
• What is the LCM of 8 and 12?

  24
• What are the steps to find the HCF and LCM of larger numbers using prime factors?

  1. Write each number as a product of prime factors.
  2. Identify the HCF by multiplying the lowest powers of common prime factors.
  3. Identify the LCM by multiplying the highest powers of all prime factors.
• What happens when you multiply terms with the same base number?

  You add the powers
• What happens when you divide terms with the same base number?

  You subtract the powers
• What is any term raised to the power of zero?

  1
• What is any term raised to the power of one?

  It is itself
• What is the formula for the Pythagorean theorem?

  C = \sqrt{a^2 + b^2}
• If \(a = 4\) cm and \(b = 3\) cm, what is \(C\) using the Pythagorean theorem?

  C = 5 cm
• What is the formula for the area of a rectangle?

  Base x Height
• What is the formula for the area of a triangle?

  Base x Perpendicular Height ÷ 2
• What is the formula for the area of a parallelogram?

  Base x Perpendicular Height
• What is the formula for the circumference of a circle?

  C = \pi d
• If the diameter of a circle is 12 cm, what is the circumference?

  C = 37.699 cm
• What is the formula for the area of a semicircle?

  A = \frac{\pi r^2}{2}
• If the radius of a semicircle is 6 cm, what is the area?

  A = 56.548 cm²
• If the radius of a circle is 5 cm, what is the circumference?

  C = 31.416 cm
• If the radius of a circle is 10 cm, what is the circumference?

  C = 62.832 cm
• If the radius of a circle is 7 cm, what is the area?

  A = 153.938 cm²
• If the diameter of a circle is 14 cm, what is the circumference?

  C = 43.982 cm
• If the radius of a circle is 8 cm, what is the area?

  A = 201.062 cm²
• If the radius of a circle is 3 cm, what is the area?

  A = 28.274 cm²
• If the radius of a circle is 2 cm, what is the area?

  A = 12.566 cm²