calc

• Circumference of a Circle


  C = 2⋅π⋅r
• Area of a Circle

  A = π⋅r^2
• Sine (sin)

  sin(θ) = opposite side / hypotenuse
• Cosine (cos)

  cos(θ) = adjacent side / hypotenuse
• Tangent (tan)

  tan(θ) = opposite side / adjacent side
• Types of Angles

  Acute Angle: <90°, Right Angle: 90°, Obtuse Angle: >90°<180°, Straight Angle: 180°, Reflex Angle: >180°
• The sum of the measures of any three sides of a triangle is equal to 180 degrees.
• The area of a rectangle is calculated by multiplying the length times width.
• The volume of a rectangular prism is calculated by multiplying its height, width, and depth.
• A parallelogram has two pairs of parallel sides that are congruent.
• What type of paper is being revised in the video?

  Calculator paper two
• Why is it important to show all working in the calculator paper?

  To avoid losing marks for incomplete answers
• How should you approach showing your work on the calculator paper?

  Write down calculations instead of relying on the calculator
• What is the difference in showing work between calculator and non-calculator papers?

  Calculator papers require more written work
• What is the compound interest rate mentioned in the example?

  2.4 percent per annum
• How is compound interest calculated in the example?

  Using the formula $150000 \times 1.024^4$
• What is the total amount after four years of investment?

  £164,926.74
• How much interest did Emily earn after four years?

  £14.74
• What is the cost of the mobile phone in the UK?

  £480
• What is the exchange rate given in the example?

  1 pound to 1.29 dollars
• How do you convert the price of the phone from dollars to pounds?

  Divide by 1.29
• Which phone offers the cheaper price after conversion?

  The phone in America at £465.12
• What is the cost of the washing powder for 2 kilograms?

  £3.40
• What is the cost of the washing powder for 5 kilograms?

  £7.20
• How do you determine which size of washing powder is better value?

  Calculate cost per kilogram for each
• What is the cost per kilogram for the 2 kg washing powder?

  £1.70 per kilogram
• What is the cost per kilogram for the 5 kg washing powder?

  £1.44 per kilogram
• Which washing powder size is cheaper based on cost per kilogram?

  The 5 kg washing powder is cheaper
• What is the density formula mentioned in the alloy example?

  Density = mass / volume
• How do you calculate the volume of copper in the alloy?

  Volume = mass / density
• What is the volume of copper used in the alloy?

  20 cm³
• What is the volume of zinc used in the alloy?

  15 cm³
• How do you find the total density of the alloy?

  Density = total mass / total volume
• What is the total mass of the alloy?

  285 grams
• What is the total volume of the alloy?

  35 cm³
• What is the density of the alloy calculated in the example?

  8.14 grams/cm³
• What is the average speed formula mentioned in the travel example?

  Speed = distance / time
• How do you calculate the total distance traveled by David?

  Add distances from both parts of the journey
• What is the distance traveled in the first part of David's journey?

  210 miles
• What is the distance traveled in the second part of David's journey?

  150 miles