MATH NOTES QS QUIZ

• Find the equation of the line which cuts the y-axis and is parallel to

  1. Rearrange the sentence to Y=mx+B

  2. Make sure the Y is single, and has nothing on its left

  3. The sentence stays the same, but the B is replaced by the Y-axis

  4. If the given Y-axis is negative, it's minus and if it's positive, it's addition
• Find the equation of the line which is perpendicular to and has a Y-intercept of


  1. Rearrange the sentence

  2. Divide the slope/gradient by -1

  3. The answer should be the fraction of the slope flipped around, and a negative or positive depending on the gradient's situation on the original sentence

  4. Then put the Y-intercept where the B would be
• Find the equation of the line that passes through a point and is parallel to the line

  1. Rearrange the sentence given

  2. Make sure the Y has no number on the left and is single

  3. Take the slope and put it into a separate sentence

  4. Y=slope+B

  5. With the given points, the first one is x and the second one is Y

  6. Replace the Y with the second co-ordinate given

  7. Y= slope times the first co-ordinate given + B

  8. The answer should be written in the format Y= slope (actual number) + B(actual number)
• Find the equation of the line that passes through and is perpendicular to the line


  1. Rearrange the sentence

  2. Make sure the y is single

  3. Take out the slope and divide it by -1

  4. The answer should be the fraction flipped over with its negative or positive sign

  5. Put into the sentence Y=slope+B

  6. Using the co-ordinate given, the first digit is x and second is y

  7. Replace the Y with the second co-ordinate given

  8. Y= slope times the first co-ordinate given + B

  9. The answer should be written in the format Y= slope (actual number) + B(actual number)
• Area of a circle

  To find the area of a circle, you need to use the formula pi R squared. First you square the radius, then you times the result with 3.14
• Circumference of a circle

  To find the circumference of a circle, you use the formula 2 pi R. 3.14 times the radius of the circle, then you times it by 2
• Area of a semi-circle

  To find the area of a semi-circle/ quarter, use the formula pi R squared divided by 2. If you have a semi-circle, use the formula pi R squared divided by 4
• Shapes


  • Rectangle
  • Parallelogram
  • Trapezium
  • Triangle
  • Kite
  • Rhombus
• Rectangle


  Area= L^W
• Parallelogram


  2 pairs of side parallel, Area= B^H
• Trapezium


  1 pair of opposite parallel sides, (a+b) H divided 2
• Triangle


  B^H divided 2
• Kite


  Two pairs of adjacent sides, 1/ xy x and y= diagonals
• Rhombus


  Has 4 equals sides, 1/2xy x and y= diagonals
• Midpoint Interval Joining


  1. Label your co-ordinates

  2. Add the x1 and the x2

  3. Add the y1 and the y2

  4. Divide the answers together
• Distance Between Points


  1. Label your co-ordinates

  2. (X1-x2) +(y1-y2)

  3. (…)2 + (…)2

  4. If the number is not prime, find a way that two numbers times together equals to your answer
• Gradient Of the Line Passing

  1. Label your co-ordinates

  2. Y2-y1 divided by x2-x1
• Term


  This is whatever numbers there are
• Coefficient


  This is whatever number is behind a specific symbol
• Constant


  This is the number that doesn't have a symbol on its side
• Sphere


  Area= 4πr2
• Cone


  Area=πr (r+√ℎ2 + 𝑟2
• Hemi-sphere


  Area= 3πr2
•  Circumference of a circle= 2pir

  Total surface of surface area of cylinder= 2squared

  Total surface area of a circle= 4pisquared

  Area of trapezium= 1/2 xy

  Area of rhombus= ½ xy

  Area of kite= ½ xy

    Total surface are of a cone= pirsquared+pirs