Math

• What is the formula for density?

  Density = Mass / Volume
• What is the initial amount Jenny deposited in her savings account?

  £35,000
• What is the compound interest rate on Jenny's savings account?

  5% per year
• If a house decreased in value by 8% in 2015, what was its value on 1st January 2018?

  Value calculation needed
• What is the volume of the cylinder given in the example?

  72π cm³
• How do you calculate the total profit?

  • Total profit = Total revenue - Total expenses
• What is the formula to find the mean of a data set?

  Mean = Sum of values / Count of values
• If the mean of a data set is 6, what is the missing number if the sum is 16?

  0
• What is the formula for the total surface area of a cylinder?

  Total surface area = 2πrh + 2πr²
• What is the interquartile range (IQR) if UQ is 42 and LQ is 25?

  IQR = 17
• What is the HCF of 56 and 84?

  28
• What is the LCM of 60 and 72?

  432
• What are the simultaneous equations given in the example?

  3x + 4y = 6 and 4x - 2y = -11
• What is the first step to solve the quadratic equation 3x² + 6x - 5 = 0?

  Use the quadratic formula
• What are the values of a, b, and c in the quadratic equation 3x² + 6x - 5 = 0?

  a = 3, b = 6, c = -5
• What is the solution for x using the quadratic formula?

  x = 0.633, x = -2.633
• What is the process to find the interquartile range (IQR)?

  • IQR = UQ - LQ
  • UQ = Upper Quartile
  • LQ = Lower Quartile
• What are the steps to expand and simplify the expression 3(c-1) + 2(3c+4)?

  1. Distribute: 3c - 3 + 6c + 8
  2. Combine like terms: 9c + 5
• What are the steps to factorise the quadratic expression x² - 24?

  1. Identify factors of -24 that add to 0
  2. Factor: (x - 6)(x + 4)