MATEMATIK PT3
MATHEMATICS FORMULAE
The following formulae may be helpful in answering the questions. The symbols given are the ones
commonly used.
NUMBERS AND OPERATIONS
1. am x an = amn 4. =
2. am ÷ an = amn
3. (a m ) n = amn
r
5. = (1 + )
n
6. = +
MEASUREMENT AND GEOMETRY
1. Area of rectangle = length x width 11. Volume of right prism
2. Area of triangle = 1 x base x height = cross sectional area x length
2 12. Volume of cuboid = length x width x height
3. Area of parallelogram = base x height
13. Volume of cylinder = r 2h
4. Area of trapezium 14. Volume of cone = 1 r 2h
= 1 x (sum of parallel sides) x height
2 3
5. Pythagoras Theorem 15. Volume of sphere = 4 r 3
c2 a2 b2 3
6. Sum of interior angles of polygon 1
= n 2180 16. Volume of pyramid = x base area x height
7. Circumference of circle = d = 2 r 3
17. arc length = angle subtended at centre
circumfere nce of circle 3600
8. Area of circle = r 2 18. area of sector = angle subtended at centre
area of circle 3600
9. Curved surface area of cylinder
19. Scale factor, k = P ' A'
= 2 rh PA
10. Surface area of sphere = 4 r 2 20. Area of image = k 2 x area of object
RELATIONSHIP AND ALGEBRA
1. Distance = (x1 x 2 )2 (y1 y2 )2 change of speed
2. Midpoint (x,y) = x1 x 2 , y1 y 2 3. Acceleration =
2 2
time taken
vertical distance
4. Gradient, m =
horizontal distance
STATISTICS AND PROBABILITY
1. Mean = sum of data 2. P(A’) = n(A' )
number of data n(S)
MODUL GERAK GEMPUR 1 2
MATEMATIK PT3
RUMUS MATEMATIK
Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah
yang biasa digunakan.
NOMBOR DAN OPERASI
1. am x an = amn 4. =
2. am ÷ an = amn
3. (a m ) n = amn
r
5. = (1 + )
n
6. = +
SUKATAN DAN GEOMETRI
1. Luas segiempat tepat = panjang x lebar 11. 11. Isipadu prisma tegak
= luas keratan rentas x panjang
2. Luas segitiga = 1 x tapak x tinggi 12.
2 12. Isipadu kuboid = panjang x lebar x tinggi
3. Luas segiempat selari = tapak x tinggi 13. Isipadu silinder = j2 t
4. Luas trapezium 14. Isipadu kon = 1 j2 t
= 1 x (hasil tambah dua sisi selari) x tinggi 3
2
15. Isipadu sfera = 4 j3
5. Teorem Pythagoras 3
c2 a2 b2
16. Isipadu piramid tegak
6. Hasil tambah sudut
1
pedalaman poligon = n 2180 = x luas tapak x tinggi
7. Lilitan bulatan = d = 2 j 3
panjang lengkok sudut pusat
17. =
lilitan bulatan 3600
8. Luas Bulatan = j2 luas sektor sudut pusat
18. =
9. Luas permukaan melengkung silinder luas bulatan 3600
= 2 jt
P'A'
10. Luas permukaan sfera = 4j2 19. Faktor skala, k =
PA
20. Luas Imej = k 2 x luas objek
PERKAITAN DAN ALGEBRA
1. Jarak = (x1 x 2 )2 (y1 y2 )2 perubahan laju
3. Pecutan =
masa yang diambil
2. Titik Tengah jarak mencancang
(x,y) = x1 x 2 , y1 y 2 4. Kecerunan, m =
2 2
jarak mengufuk
STATISTIK DAN KEBARANGKALIAN
1. Min = hasil tambah nilai data 2. P(A’) = n(A' )
bilangan data n(S)
MODUL GERAK GEMPUR 1 3