Formula Sheet

• What is the formula for the area of a trapezium?

  Area = 1/2 × (a + b) × h
• What do the variables a and b represent in the trapezium area formula?

  The lengths of the parallel sides
• What is the formula for the volume of a prism?

  Volume = area of cross-section × length
• What is the formula for the circumference of a circle?

  C = 2πr = πd
• What do the variables r and d represent in the circumference formula?

  r is the radius, d is the diameter
• What is the formula for the area of a circle?

  A = πr²
• What is the quadratic formula for solving ax² + bx + c = 0?

  x = (-b ± √(b² - 4ac)) / 2a
• What does Pythagoras’ Theorem state?

  a² + b² = c²
• In Pythagoras’ Theorem, what do a and b represent?

  The lengths of the shorter sides
• What is the sine ratio in a right-angled triangle?

  sin A = a / c
• What is the cosine ratio in a right-angled triangle?

  cos A = b / c
• What is the tangent ratio in a right-angled triangle?

  tan A = a / b
• What is the sine rule?

  a / sin A = b / sin B = c / sin C
• What is the cosine rule?

  a² = b² + c² - 2bc × cos A
• What is the formula for the area of a triangle?

  Area = 1/2 × a × b × sin C
• What is the formula for total accrued compound interest?

  Total accrued = P × (1 + r / 100)ⁿ
• In the compound interest formula, what does P represent?

  The principal amount
• In the compound interest formula, what does r represent?

  The interest rate per period
• In the compound interest formula, what does n represent?

  The number of periods
• What is the addition rule for probabilities?

  P(A or B) = P(A) + P(B) - P(A and B)
• What is the multiplication rule for probabilities?

  P(A and B) = P(A given B) × P(B)
• What are the key formulas for area and volume in geometry?

  • Area of trapezium: Area = 1/2 × (a + b) × h
  • Volume of prism: Volume = area of cross-section × length
  • Area of circle: A = πr²
• What are the key trigonometric relationships in a right-angled triangle?

  • sin A = a / c
  • cos A = b / c
  • tan A = a / b
• What are the sine and cosine rules in trigonometry?

  • Sine rule: a / sin A = b / sin B = c / sin C
  • Cosine rule: a² = b² + c² - 2bc × cos A
• What are the key concepts of compound interest and probability?

  • Compound interest formula: Total accrued = P × (1 + r / 100)ⁿ
  • Addition rule: P(A or B) = P(A) + P(B) - P(A and B)
  • Multiplication rule: P(A and B) = P(A given B) × P(B)