Math

• What is the example of a quastrackic graph given?

  y = x² + 3
• What is the value of y when x = -3 in the graph y = x² + 3?

  12
• What is the value of y when x = 0 in the graph y = x² + 3?


  3
• What is the product of the two brackets in the expression 3(4x + 3)(2x + 1)?

  3(8x² + 2x - 3)
• What is the expanded form of 3(4x + 3)(2x + 1)?

  24x² + 6x - 9
• What is the result of multiplying (7x - 10)(9x - 10)?

  63x² - 250x + 200
• What is the highest common factor (HCF) of 8x + 12?

  4
• How can you factor 8x + 12 using its HCF?

  4(2x + 3)
• What is the HCF of 27x - 45?

  9
• How can you factor 27x - 45 using its HCF?

  9(3x - 5)
• What is the factored form of y² - 6y + 8?

  (y - 2)(y - 4)
• How do you factor x² - 25 using the difference of squares?

  (x - 5)(x + 5)
• How do you solve the quadratic equation y² + y - 6 = 0 by factorizing?

  (y + 3)(y - 2) = 0
• What are the solutions to the equation y² + y - 6 = 0?

  y = -3 and y = 2
• How do you calculate VAT on a drill costing £38.50 with 20% VAT?

  £7.70
• How do you calculate 20% of £50?

  £10
• How do you find the original quantity given the results of a proportion?

  Change x 100
• What percentage of CDs were sold last year if 123 million were sold five years ago and 69 million last year?

  43.5%
• How do you calculate the original amount of shampoo in a bottle that contains 900ml with 20% extra?

  750ml
• What is the formula for Pythagoras' theorem?

  c² = a² + b²
• How do you calculate the length of side c using Pythagoras' theorem?

  c = √(a² + b²)
• What does SOH CAH TOA stand for in trigonometry?

  sin = opposite/hypotenuse
• If sin 50 = x/13, how do you find x?

  x = 13 × sin 50
• What is the value of x if sin 50 = x/13?

  x = 9.96
• What is the standard form of 200 multiplied by 210 and 310?

  6 x 10⁵
• What is the result of dividing (8 x 10⁵) by (2 x 10²)?

  4 x 10³
• How do you simplify the algebraic fraction ⁶/₈ x²yz?


  ³xyz/₄
• What is the result of multiplying (x + 4) by 3(x - 3)?

  3(x² + x - 12)
• What is the result of adding the fractions x²/x+5 and x²/x+1?

  4/x
• What are the steps to solve a quadratic equation by factorizing?

  1. Set the equation to zero.
  2. Factor the quadratic expression.
  3. Set each factor to zero.
  4. Solve for the variable.
• What are the key concepts of trigonometry related to right triangles?

  • SOH CAH TOA
  • Sine, Cosine, Tangent ratios
  • Relationships between angles and sides
• What are the methods for simplifying algebraic fractions?

  • Factor numerator and denominator
  • Cancel common factors
  • Simplify to lowest terms
• What are the rules for multiplying and dividing in standard form?

  • Multiply: multiply coefficients and add exponents
  • Divide: divide coefficients and subtract exponents
• What is the process for calculating percentages?

  1. Divide the part by the whole.
  2. Multiply by 100.
  3. Express as a percentage.