N-Level Math (4045) Formula List. *Formulas highlighted in yellow are found in the formula list of the exam paper. 1km 2 =1000m 1000m

Transcription

1 *Formul highlighted in yellow re found in the formul lit of the em pper. Unit Converion Are m =cm cm km =m m = m = cm Volume m =cm cm cm 6 = cm km/h m/ itre =cm (ince mg=cm ) 6 Finncil Mth Percentge Incree Percentge Decree Incree % = Originl Decree % = Originl Simple Interet Compound Interet P-Principl ($) I PRT n R P I P I- Interet Amount ($) R-Interet Rte (%) T-Time (Yer) n-no. of Period Pge of 5

2 Rtio nd Proportion Converion etween ength (iner) nd Are Rtio. A A Converion etween ength (iner) nd Volume Rtio. V V : ength-mller oject: : ength-igger oject A : Are-mller oject A : Are-igger oject A A V V V : Volume-mller oject V : Volume-igger oject To convert Are to Volume & vice ver, firt convert to ength. A Squre Root Cue V Squre Cue Root A V Speed nd Ditnce Speed = Ditnce Time Accelertion = Finl Speed Initil Speed Time Tken Averge Speed = Totl Ditnce Totl Time Ditnce Trvelled i the Are UNDER the peed /time grph Pge of 5

3 Indice m m m m m Note: m Be No. me Power dd Power me Be No. multiply Be No. me Power minu Power me Be No. divide y y y y Pge of 5

4 Coordinte Geometry iner Grph Y= m + c where m= grdient nd c= y-intercept Grdient(m) = y y Mid-point of line Ditnce etween two point = y y (, ) = ( ) ( y y ) Polygon Sum of interior ngle of n n-ided polygon. ( n ) 8 Ech interior ngle of n n- ided polygon. ( n ) 8 o n Ech eterior ngle of n n-ided polygon = 6 n Sum of eterior ngle of n n- ided polygon = 6 Pge 4 of 5

5 Arc ength, Sector nd Segment Arc ength S= 6 r Are of Sector (Degree) Or S= r (Rdin) A= 6 r (Degree) Or A r (Rdin) Pge 5 of 5

6 Menurtion Circle Are = r Circumference = Or d r Trpezium Perimeter = w + + y + z y h Are= Prllelogrm Perimeter = y+ z Are= y z Pge 6 of 5

7 Cylinder Totl Surfce Are (cloe cylinder) = r r h Totl Surfce Are (open cylinder) = Volume = r r h r h Cone Totl Surfce Are = r l r Volume = r h l=lnt height h=verticl height (Note the difference) Pge 7 of 5

8 Pyrmid Totl Surfce Are = Sum of 4 tringle + e Volume = Ah A=e re h=verticl height Sphere Totl Surfce Are = Volume = 4 r 4 r Hemiphere (hlf-phere) Totl Surfce Are = r r Volume r Pge 8 of 5

9 Propertie of Circle Angle t Centre =Twice Angle t Circumference Angle in the Sme Segment (Are Equl) Pge 9 of 5

10 Angle in Semi-circle =9 Angle in Oppoite Segment (Add up to 8 O ) +c =8 +d =8 Eterior ngle of cyclic qudrilterl =p Pge of 5

11 Iocele Tringle Perpendiculr from Centre Biect Chord OXA OXB 9 Equl Chord, Equl Ditnce from Centre Pge of 5

12 Tngent Perpendiculr Rdiu OAB 9 Tngent from Eternl Point BC=BA o OCB OAB 9 OA = OC (rdiu) Pge of 5

13 Trigonometry N-evel Mth (445) Formul it Note: Ue when the tringle i Right Angle. Opp (DE) Tn B= Adj (EB) (TOA) Adj (EB) Co B= Hyp (DB) (CAH) Opp (DE) Sin B= Hyp (DB) (SOH) Pythgor Theorem DB = DE + EB Note: Ue when the tringle i NOT Right Angle. Are of Tringle = SinC Sine Rule c Sin A Sin B Sin C Coine Rule c CoC Pge of 5

14 Proility Proility Numer Of Succeful Outcome Totl Numer Of Outcome OR Succe Succe + Filure If the proility of A AND B occur, then P(A) X P(B). If the proility of A OR B occur, then P(A) + P(B) If the proility of A DOES NOT occurring, then - P(A). Proility i etween nd include to. If Proility (P) =, it men tht there i NO CHANCE of ucce. If Proility (P) = it men tht ucce i CERTAIN. Sttitic Ungroup Dt Sum Of All Dt Vlue Men(X)= Numer Of Dt Group Dt Men( X ) f f ower Qurtile = (n + )th Term 4 n i the totl frequency. Pge 4 of 5

15 n Medin ( ) th Term Upper Qurtile = (n + )th Term 4 *Thee formul give the POSITION of the vlue in cending order. It DOES NOT give the ctul vlue. Ungroup Dt - Stndrd Devition () = ( X) f or = n X Group Dt - Stndrd Devition () = f f f f f or = X f The End Pge 5 of 5