formula Matematik : format SPM

MATHEMATICAL FORMULAE

The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.

RELATIONS

1          a^m  x  aⁿ =  a ^{m+ n}

2          a^m ¸ aⁿ  = a ^{m – n}

3          ( a^m )ⁿ = a ^mn

4          A^-1 =

5          P ( A ) =

6          P ( A¢ ) = 1 - P(A)

7          Distance =

8          Midpoint, ( x, y ) = 

distance travelled      time taken

 

9          Average speed =                               

sum of data number of data

 

10        Mean = 

sum of (class mark × frequency) sum of frequencies

 

11        Mean =

12        Pythagoras Theorem

            

             c² = a² + b²

13        m =

y-intercept x-intercept

 

14        m = -

SHAPES AND SPACE

1          Area of trapezium = × sum of parallel sides × height

2          Circumference of circle = pd = 2pr

3          Area of circle = pr²

4          Curved surface area of cylinder = 2prh

5          Surface area of sphere = 4pr²

6          Volume of right prism = cross sectional area × length

7          Volume of  cylinder = pr²h

8          Volume of cone = pr²h

9          Volume of  sphere = pr³

10        Volume of right pyramid = × base area × height

11        Sum of interior angles of a polygon = ( n – 2) × 180˚

12       

13       

14        Scale factor , k =

15        Area of image =  k ²  × area of object