List of SPM Modern Mathematics formulas

ONE-SCHOOL.NET SPM Modern Mathematics Formulae List for Paper 1 and Paper 2 RELATIONS

1. a m × a n = a m + n

12.

c2 = a 2 + b2

2. a m ÷ a n = a m − n 3. (a m ) n = a mn

4. A−1 =

1 ⎛ d −b ⎞ ⎜ ⎟ ad − bc ⎝ −c a ⎠

5. P( A) =

m=

14.

m=−

6. P ( A ') = 1 − P( A) 7. Distance = ( x2 − x1 ) + ( y2 − y1 ) ⎛ x + x y + y2 ⎞ 8. Midpoint, ( x, y ) = ⎜ 1 2 , 1 ⎟ 2 ⎠ ⎝ 2 distance travelled time taken

10. Mean =

sum of data number of data

11. Mean =

sum of (class mark × frequency) sum of frequencies

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y2 − y1 x2 − x1

13.

n( A) n( S )

9. Average speed =

Pythagoras Theorem

y -intercept x-intercept

ONE-SCHOOL.NET SHAPE AND SPACE

1 × sum of parallel sides × height 2

1. Area of trapezium =

2. Circumference of circle = π d = 2π r 3. Area of Circle = π r 2 4. Curved surface area of cylinder = 2π rh 5. Surface area of sphere = 4π r 2 6. Volume of right prism = cross sectional area × length 7. Volume of cylinder = π r 2 h 8. Volume of cone =

1 2 πr h 3

4 9. Volume of sphere = π r 3 3 1 10. Volume of right pyramid = × base area × height 3 11. Sum of interior angle of polygon = (n – 2) × 180o 12.

arc length angle subtended at centre = circumference of circle 360o

13. Scale factor, k =

PA ' PA

14. Area of image = k 2 × area of object

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