PMR-Mathematics-Formula-List-P2

1

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PMR Mathematics Formula List for Paper 2 RELATIONS m

× a n = a m+ n

1

a

2

a m ÷ a n = a m− n

3

( am )

4

Distance =

5

Midpoint

n

= a mn ( x 2 − x1 ) 2 + ( y 2 −  y1 ) 2

⎛  x + x 2  y1 +  y 2  ⎞ ( x,  x, y) = ⎜ 1 , ⎟ 2  ⎠ ⎝  2 distance travelled

6

Average speed =

7

Mean =

8

Pythagoras’ Theorem c 2 = a 2 + b2

time taken

sum of  data number of  data

SHAPES AND SPACE

1

Area of rectangle = length × width

2

Area of triangle =

3

Area of parallelogram = base × height

4

Area of trapezium =

1 2

× base × height

1 2

× sum of parallel sides × height

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Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah yang biasa digunakan. PERKAITAN

1

a m × a n = a m+ n

2

− am ÷ an = am n

3

( am )

4

Jarak =

5

Titik Tengah ⎛  x + x 2  y1 +  y 2  ⎞ ( x,  x, y) = ⎜ 1 , ⎟ 2  ⎠ ⎝  2

6

Purata laju =

7

Min =

8

Teorem Pithagoras c 2 = a 2 + b2

n

= a mn ( x 2 − x1 ) 2 + ( y 2 −  y1 ) 2

 jarak yang dilalui masa yang diambil

hasil tambah nilai data bilangan data

BENTUK DAN RUANG

1

Luas segiempat tepat = panjang × lebar

2

Luas segitiga =

3

Luas segiempat selari = tapak × tinggi

4

Luas trapezium =

1 2

× tapak × tinggi

1 2

× hasil tambah dua sisi selari × tinggi

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5

Circumference of circle = π d  = 2 π r 

6

Area of circle = π r 2

7

Curved surface area of cylinder = 2 π r h

8

Surface area of sphere = 4π r 

9

Volume of right prism = cross sectional area × length

10

Volume of cuboid = length × width × height

11

Volume of cylinder = π r  h

12

Volume of cone =

13

Volume of sphere =

14

Volume of right pyramid =

15

Sum of interior angles of a polygon = ( n − 2) × 180°

16

17

2

2

1 3

π r 2 h 4 3

π r 3

arc length circumference of  circle area of  sector area of  circle

=

=

1 3

× base area × height

angle subtended at centre 360°

angle subtended at centre 360° PA'

18

Scale factor, k  =

19

Area of image = k 2 × area of  object

PA

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5

Lilitan bulatan = π d  = 2π j

6

Luas bulatan = π j 2

7

Luas permukaan melengkung silinder = 2π jt 

8

Luas permukaan sfera = 4π j

9

Isipadu prisma tegak  = luas keratan rentas × panjang

10

Isipadu kuboid = panjang × lebar × tinggi

11

2 Isipadu silinder = π j t 

12

Isipadu kon =

13

Isipadu sfera =

14

Isipadu piramid tegak  =

15

Hasil tambah sudut pedalaman poligon = ( n − 2) × 180°

16

17

1 3

π j 2 t 

4 3

panjang lengkok  lilitan bulatan luas sektor luas bulatan

=

2

π j 3

=

1 3

× luas tapak  × tinggi

sudut pusat 360°

sudut pusat 360° PA'

18

Faktor skala, k  =

19

Luas imej = k 2 × luas objek 

PA

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