RUMUS MATEMATIK
MATHEMATICAL FORMULAE
Rumus-rumus berikut boleh membantu anda untuk menjawab soalan. Simbol-simbol yang diberi adalah yang biasa
digunakan.
The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used
NOMBOR DAN OPERASI
NUMBERS AND OPERATIONS
a m n
1
am u an
3
(a m )n
5
Faedah mudah / Simple interest, I =Prt
6
‹Žƒ‹ƒ–ƒ‰Ȁ‫݁ݑ݈ܽݒݕݐ݅ݎݑݐܽܯ‬ǡ ‫ ܸܯ‬ൌ ܲ ቀͳ ൅ ௡ቁ
7
Jumlah bayaran balik / Total repayment, A = P + Prt
a mn
2
am y an
a mn
4
ܽ ௡ ൌ ሺܽ௠ ሻ௡
௠
ଵ
௥ ௡௧
PERKAITAN
RELATIONS
( x2 x1 ) 2 ( y2 y1 ) 2
1
Jarak / Distance =
2
Titik Tengah / midpoint ( x, y )
3
Purata laju =
§ x1 x2 y1 y2 ·
¨ 2 , 2 ¸
©
¹
jarak yang dilalui
masa yang diambil
Average speed = distance travelled
time taken
4
5
6
m
y2 y1
x2 x1
pintasan-y
pintasan-x
y-intercept
m x-intercept
m A1
1 § d b ·
¨
¸
ad bc © c a ¹
2
SUKATAN DAN GEOMETRI
MEASUREMENT AND GEOMETRY
1
Teorem Pythagoras / Pythagoras Theorem c 2
2
Hasil tambah sudut pedalaman poligon / Sum of interior angles of a polygon
= (n – 2) u 180o
3
Lilitan bulatan = Sd = 2Sj
Circumference of circle = Sd = 2Sr
4
Luas bulatan = Sj 2
Area of circle = Sr 2
5
6
a 2 b2
ƒŒƒ‰Ž‡‰‘
T
ൌ
͵͸Ͳι
ʹS݆
” Ž‡‰–Š
T
ൌ
͵͸Ͳι
ʹS‫ݎ‬
—ƒ••‡–‘”
T
ൌ
S݆ ଶ
͵͸Ͳι
‫ݎ݋ݐܿ݁ݏ݂݋ܽ݁ݎܣ‬
T
ൌ
ଶ
S‫ݎ‬
͵͸Ͳι
ͳ
ൈ Šƒ•‹Ž†ƒ”ƒ„’ƒŒƒ‰†—ƒ’‡’‡Œ—”—
ʹ
ͳ
‫ ݁ݐ݂݅݇݋ܽ݁ݎܣ‬ൌ ൈ ‫ݏ݈ܽ݊݋݃ܽ݅݀݋ݓݐ݂݋ݐܿݑ݀݋ݎ݌‬
ʹ
7
—ƒ•Ž‡Žƒ›ƒ‰ ൌ
8
Luas trapezium =
9
Luas permukaan silinder = 2 S j2 + 2 S jt
Surface area of cylinder = 2 S r2 + 2 S rh
10
Luas permukaan kon = S j2 + S js
Surface area of cone = S r2 + S rs
11
Luas permukaan sfera = 4Sj 2
Surface area of sphere = 4Sr 2
12
Isipadu prisma tegak = luas keratan rentas u tinggi
Volume of right prism = cross sectional area u height
13
Isipadu silinder = S j2t
Volume of cylinder = S r2h
1
u hasil tambah dua sisi selari u tinggi
2
1
Area of trapezium = u sum of parallel sides u height
2
3
1
3
2
Isipadu kon = π j t
14
1 2
πr h
3
Volume of cone =
4 3
πj
3
4 3
Volume of sphere = π r
3
1
u luas tapak u tinggi
Isipadu piramid tegak =
3
1
u base area u height
Volume of right pyramid =
3
PA '
Faktor skala, k
PA
PA '
Scale factor, k
PA
Isipadu sfera =
15
16
17
18
Luas imej = k2 u luas objek
Area of image = k2 u area of object
STATISTIK DAN KEBARANGKALIAN
STATISTICS AND PROBABILITY
1
‹Ȁ‫݊ܽ݁ܯ‬ǡ ‫ݔ‬ҧ ൌ
¦‫ݔ‬
ܰ
2
‹Ȁ‫݊ܽ݁ܯ‬ǡ ‫ݔ‬ҧ ൌ
¦݂‫ݔ‬
݂
3
¦ሺ‫ ݔ‬െ ‫ݔ‬ҧ ሻଶ ¦‫ ݔ‬ଶ
ƒ”‹ƒ•Ȁܸܽ‫݁ܿ݊ܽ݅ݎ‬ǡ V ൌ
ൌ
െ ‫ݔ‬ҧ ଶ
ܰ
ܰ
4
ƒ”‹ƒ•Ȁܸܽ‫݁ܿ݊ܽ݅ݎ‬ǡ Vଶ ൌ
5
¦ሺ‫ ݔ‬െ ‫ݔ‬ҧ ሻଶ
¦‫ ݔ‬ଶ
‹•‹Šƒ’‹ƒ™ƒ‹Ȁܵ‫݊݋݅ݐܽ݅ݒ݁݀݀ݎܽ݀݊ܽݐ‬ǡ V ൌ ඨ
ൌඨ
െ ‫ݔ‬ҧ ଶ
ܰ
ܰ
6
¦݂ሺ‫ ݔ‬െ ‫ݔ‬ҧ ሻଶ
¦݂‫ ݔ‬ଶ
‹•‹Šƒ’‹ƒ™ƒ‹Ȁܵ‫݊݋݅ݐܽ݅ݒ݁݀݀ݎܽ݀݊ܽݐ‬ǡ V ൌ ඨ
ൌඨ
െ ‫ݔ‬ҧ ଶ
݂
݂
7
P( A)
8
P( A ') 1 P( A)
ଶ
¦݂ሺ‫ ݔ‬െ ‫ݔ‬ҧ ሻଶ ¦݂‫ ݔ‬ଶ
ൌ
െ ‫ݔ‬ҧ ଶ
݂
݂
n( A)
n( S )
4