The formulae in this booklet have been arranged according to the unit in which they are first

Fomule Booklet Fomule Booklet The fomule ths ooklet hve ee ge ccog to the ut whch the e fst touce. Thus cte sttg ut m e eque to use the fomule tht wee touce peceg ut e.g. ctes sttg C mght e epecte to use fomule fst touce C o C. It m lso e the cse tht ctes sttg Mechcs Sttstcs uts ee to use fomule touce ppopte Coe Mthemtcs uts, s outle the specfcto. Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet Coe Mthemtcs C Mesuto Sufce e of sphee 4π Ae of cuve sufce of coe π slt heght Athmetc sees u S l [ ] 4 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Coe Mthemtcs C Issue Septeme 007 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet Coe Mthemtcs C Ctes sttg C m lso eque those fomule lste ue Coe Mthemtcs C. Cose ule c c cos A Boml sees! whee C!! <, Logthms epoetls log log log Geometc sees u S S fo < Numecl tegto The tpezum ule: h{ 0... }, whee h UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Coe Mthemtcs C Issue Septeme 007 5 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet Coe Mthemtcs C Ctes sttg C m lso eque those fomule lste ue Coe Mthemtcs C C. Logthms epoetls e l Tgoometc ettes s A ± B s Acos B ± cos As B cos A ± B cos Acos B s As B t A ± t B t A ± B A ± B k t At B A B A B s A s B s cos A B A B s A s B cos s A B A B cos A cos B cos cos A B A B cos A cos B s s π Dffeetto f t k sec cot cosec f g f k sec k sec t cosec cosec cot f g f g g 6 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Coe Mthemtcs C Issue Septeme 007 4 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet Coe Mthemtcs C4 Ctes sttg C4 m lso eque those fomule lste ue Coe Mthemtcs C, C C. Itegto costt f f sec k t cot t k k l sec l s cosec l cosec cot l t sec l sec t l t 4 π v u u uv v UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Coe Mthemtcs C4 Issue Septeme 007 7 Eecel GCE Mthemtcs Gettg Stte 5

Fomule Booklet Futhe Pue Mthemtcs FP Ctes sttg FP m lso eque those fomule lste ue Coe Mthemtcs C C. Summtos 6 4 Numecl soluto of equtos The Newto-Rphso teto fo solvg f 0 : f f Coote geomet The pepecul stce fom h, k to c 0 s h k c m m The cute gle etwee les wth gets m m s ct m m Cocs Pol Rectgul Hpeol St Fom 4 c Pmetc Fom t, t ct, c t Foc, 0 Not eque Dectces Not eque 8 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Futhe Pue Mthemtcs FP Issue Septeme 007 6 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet Mt tsfomtos cosθ Atclockwse otto though θ out O: sθ sθ cosθ Reflecto the le cos θ s θ tθ : s θ cos θ UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Futhe Pue Mthemtcs FP Issue Septeme 007 9 Eecel GCE Mthemtcs Gettg Stte 7

Fomule Booklet Futhe Pue Mthemtcs FP Ctes sttg FP m lso eque those fomule lste ue Futhe Pue Mthemtcs FP Coe Mthemtcs C C4. Ae of secto A θ pol cootes Comple umes θ e cosθ sθ { cosθ sθ } cosθ s θ k e π The oots of z e gve z, fo k 0,,,, Mclu s Tlo s Sees f f0 f 0 f 0 f 0!! f f f f f!! f f f f f!! e ep fo ll!! l < 5 s fo ll! 5!! 4 cos fo ll! 4!! 5 ct 5 Tlo polomls h f h f h f f eo! h f h f h f f ξ 0 < ξ < h! f f f f eo! f f f f ξ < ξ <! 0 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Futhe Pue Mthemtcs FP Issue Septeme 007 8 Eecel GCE Mthemtcs Gettg Stte

Eecel GCE Mthemtcs Gettg Stte 9 Eecel GCE Mthemtcs Fomule Booklet UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Futhe Pue Mthemtcs FP Issue Septeme 007 Futhe Pue Mthemtcs FP Ctes sttg FP m lso eque those fomule lste ue Futhe Pue Mthemtcs FP, Coe Mthemtcs C C4. Vectos The esolve pt of the ecto of s. The pot vg AB the to μ λ : s μ λ λ μ Vecto pouct: ˆ s k j θ c. c. c. c c c c..c c If A s the pot wth posto vecto k j the ecto vecto s gve k j, the the stght le though A wth ecto vecto hs ctes equto λ z The ple though A wth oml vecto k j hs ctes equto. z whee 0 The ple though o-colle pots A, B C hs vecto equto c c μ λ μ λ μ λ The ple though the pot wth posto vecto pllel to c hs equto c t s The pepecul stce of,, γ β α fom 0 z s γ β α.

Fomule Booklet Hpeolc fuctos cosh sh sh sh cosh cosh cosh sh cosh l{ } sh l{ } th l < Cocs Ellpse Pol Hpeol Rectgul Hpeol St Fom 4 c Pmetc Fom cosθ, sθ t, t sec θ, t θ ± cosh θ, sh θ ct, c t Eccetct e < e e e > e e Foc ± e, 0, 0 ± e, 0 ± c, ± c Dectces ± e ± ± c e Asmptotes oe oe ± 0, 0 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Futhe Pue Mthemtcs FP Issue Septeme 007 0 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet Dffeetto f f cs ccos ct sh cosh cosh sh th sh cosh sech th Itegto costt; > 0 whee elevt f f sh cosh th cosh sh l cosh cs ct < cosh l{ } sh l l l { } th > < UA08598 Eecel AS/A level Mthemtcs Fomule Lst Issue Septeme 007 Eecel GCE Mthemtcs Gettg Stte

Eecel GCE Mthemtcs Gettg Stte Eecel GCE Mthemtcs Fomule Booklet 4 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Futhe Pue Mthemtcs FP Issue Septeme 007 Ac legth s ctes cootes t t t s pmetc fom Sufce e of evoluto S s t t t π π

Fomule Booklet BLANK PAGE TURN OVER FOR MECHANICS & STATISTICS FORMULAE UA08598 Eecel AS/A level Mthemtcs Fomule Lst Issue Septeme 007 5 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet Mechcs M Thee e o fomule gve fo M to to those ctes e epecte to kow. Ctes sttg M m lso eque those fomule lste ue Coe Mthemtcs C. Mechcs M Ctes sttg M m lso eque those fomule lste ue Coe Mthemtcs C, C C. Cetes of mss Fo ufom oes: Tgul lm: log me fom vete sα Ccul c, us, gle t cete α : fom cete α sα Secto of ccle, us, gle t cete α : fom cete α Mechcs M Ctes sttg M m lso eque those fomule lste ue Mechcs M, lso those fomule lste ue Coe Mthemtcs C C4. Moto ccle Tsvese veloct: v θ Tsvese cceleto: v θ v Rl cceleto: θ Cetes of mss Fo ufom oes: Sol hemsphee, us : Hemsphecl shell, us : Sol coe o pm of heght h: Cocl shell of heght h: Uvesl lw of gvtto Gm m Foce fom cete 8 fom cete h ove the se o the le fom cete of se to vete 4 h ove the se o the le fom cete of se to vete 6 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Mechcs M M Issue Septeme 007 4 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet Mechcs M4 Thee e o fomule gve fo M4 to to those ctes e epecte to kow. Ctes sttg M4 m lso eque those fomule lste ue Mechcs M M, lso those fomule lste ue Coe Mthemtcs C C4 Futhe Pue Mthemtcs FP. Mechcs M5 Ctes sttg M5 m lso eque those fomule lste ue Mechcs M M, lso those fomule lste ue Coe Mthemtcs C C4 Futhe Pue Mthemtcs FP. Momets of et Fo ufom oes of mss m: Th o, legth l, out pepecul s though cete: ml Rectgul lm out s ple sectg eges of legth l: ml Th o, legth l, out pepecul s though e: 4 ml Rectgul lm out ege pepecul to eges of legth l: Rectgul lm, ses, out pepecul s though cete: m Hoop o clcl shell of us out s though cete: m Hoop of us out mete: m Dsc o sol cle of us out s though cete: Dsc of us out mete: m Sol sphee, us, out mete: 4 m Sphecl shell of us out mete: 5 m m 4 ml Pllel es theoem: I A I G mag Pepecul es theoem: I I I fo lm the - ple Momets s vectos The momet out O of F ctg t s z F UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Mechcs M4 M5 Issue Septeme 007 7 Eecel GCE Mthemtcs Gettg Stte 5

Fomule Booklet Sttstcs S Polt P A B P A P B P A B P A B P A P B A P B A P A P A B P B A P A P B A P A Dscete stutos Fo scete om vle X tkg vlues wth poltes PX Epectto me: EX μ PX Vce: VX σ μ PX PX μ Fo fucto gx : EgX g PX Cotuous stutos St cotuous stuto: Dstuto of X P.D.F. Me Vce Noml N μ, σ μ σ e σ π μ σ 8 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Sttstcs S Issue Septeme 007 6 Eecel GCE Mthemtcs Gettg Stte

Eecel GCE Mthemtcs Gettg Stte 7 Eecel GCE Mthemtcs Fomule Booklet UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Sttstcs S Issue Septeme 007 9 Coelto egesso Fo set of ps of vlues, S S S The pouct momet coelto coeffcet s S S S } }{ { The egesso coeffcet of o s S S Lest sques egesso le of o s whee

Fomule Booklet THE NORMAL DISTRIBUTION FUNCTION The fucto tulte elow s Φz, efe s Φz z t π e t. z Φz z Φz z Φz z Φz z Φz 0.00 0.5000 0.50 0.695.00 0.84.50 0.9.00 0.977 0.0 0.5040 0.5 0.6950.0 0.848.5 0.945.0 0.978 0.0 0.5080 0.5 0.6985.0 0.846.5 0.957.04 0.979 0.0 0.50 0.5 0.709.0 0.8485.5 0.970.06 0.980 0.04 0.560 0.54 0.7054.04 0.8508.54 0.98.08 0.98 0.05 0.599 0.55 0.7088.05 0.85.55 0.994.0 0.98 0.06 0.59 0.56 0.7.06 0.8554.56 0.9406. 0.980 0.07 0.579 0.57 0.757.07 0.8577.57 0.948.4 0.988 0.08 0.59 0.58 0.790.08 0.8599.58 0.949.6 0.9846 0.09 0.559 0.59 0.74.09 0.86.59 0.944.8 0.9854 0.0 0.598 0.60 0.757.0 0.864.60 0.945.0 0.986 0. 0.548 0.6 0.79. 0.8665.6 0.946. 0.9868 0. 0.5478 0.6 0.74. 0.8686.6 0.9474.4 0.9875 0. 0.557 0.6 0.757. 0.8708.6 0.9484.6 0.988 0.4 0.5557 0.64 0.789.4 0.879.64 0.9495.8 0.9887 0.5 0.5596 0.65 0.74.5 0.8749.65 0.9505.0 0.989 0.6 0.566 0.66 0.7454.6 0.8770.66 0.955. 0.9898 0.7 0.5675 0.67 0.7486.7 0.8790.67 0.955.4 0.9904 0.8 0.574 0.68 0.757.8 0.880.68 0.955.6 0.9909 0.9 0.575 0.69 0.7549.9 0.880.69 0.9545.8 0.99 0.0 0.579 0.70 0.7580.0 0.8849.70 0.9554.40 0.998 0. 0.58 0.7 0.76. 0.8869.7 0.9564.4 0.99 0. 0.587 0.7 0.764. 0.8888.7 0.957.44 0.997 0. 0.590 0.7 0.767. 0.8907.7 0.958.46 0.99 0.4 0.5948 0.74 0.7704.4 0.895.74 0.959.48 0.994 0.5 0.5987 0.75 0.774.5 0.8944.75 0.9599.50 0.998 0.6 0.606 0.76 0.7764.6 0.896.76 0.9608.55 0.9946 0.7 0.6064 0.77 0.7794.7 0.8980.77 0.966.60 0.995 0.8 0.60 0.78 0.78.8 0.8997.78 0.965.65 0.9960 0.9 0.64 0.79 0.785.9 0.905.79 0.96.70 0.9965 0.0 0.679 0.80 0.788.0 0.90.80 0.964.75 0.9970 0. 0.67 0.8 0.790. 0.9049.8 0.9649.80 0.9974 0. 0.655 0.8 0.799. 0.9066.8 0.9656.85 0.9978 0. 0.69 0.8 0.7967. 0.908.8 0.9664.90 0.998 0.4 0.6 0.84 0.7995.4 0.9099.84 0.967.95 0.9984 0.5 0.668 0.85 0.80.5 0.95.85 0.9678.00 0.9987 0.6 0.6406 0.86 0.805.6 0.9.86 0.9686.05 0.9989 0.7 0.644 0.87 0.8078.7 0.947.87 0.969.0 0.9990 0.8 0.6480 0.88 0.806.8 0.96.88 0.9699.5 0.999 0.9 0.657 0.89 0.8.9 0.977.89 0.9706.0 0.999 0.40 0.6554 0.90 0.859.40 0.99.90 0.97.5 0.9994 0.4 0.659 0.9 0.886.4 0.907.9 0.979.0 0.9995 0.4 0.668 0.9 0.8.4 0.9.9 0.976.5 0.9996 0.4 0.6664 0.9 0.88.4 0.96.9 0.97.40 0.9997 0.44 0.6700 0.94 0.864.44 0.95.94 0.978.50 0.9998 0.45 0.676 0.95 0.889.45 0.965.95 0.9744.60 0.9998 0.46 0.677 0.96 0.85.46 0.979.96 0.9750.70 0.9999 0.47 0.6808 0.97 0.840.47 0.99.97 0.9756.80 0.9999 0.48 0.6844 0.98 0.865.48 0.906.98 0.976.90.0000 0.49 0.6879 0.99 0.889.49 0.99.99 0.9767 4.00.0000 0.50 0.695.00 0.84.50 0.9.00 0.977 0 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Sttstcs S Issue Septeme 007 8 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet PERCENTAGE POINTS OF THE NORMAL DISTRIBUTION The vlues z the tle e those whch om vle Z N0, ecees wth polt p; tht s, PZ > z Φz p. p z p z 0.5000 0.0000 0.0500.6449 0.4000 0.5 0.050.9600 0.000 0.544 0.000.6 0.000 0.846 0.0050.5758 0.500.064 0.000.090 0.000.86 0.0005.905 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Sttstcs S Issue Septeme 007 Eecel GCE Mthemtcs Gettg Stte 9

Fomule Booklet Sttstcs S Ctes sttg S m lso eque those fomule lste ue Sttstcs S, lso those lste ue Coe Mthemtcs C C. Dscete stutos St scete stutos: Dstuto of X P X Me Vce Boml B, p p p p p p Posso Poλ λ λ e λ λ! Cotuous stutos Fo cotuous om vle X hvg polt est fucto f Epectto me: E X μ f σ Vce: V X f f Fo fucto gx : μ Eg X g f Cumultve stuto fucto: F P X 0 St cotuous stuto: μ 0 f t 0 Dstuto of X P.D.F. Me Vce t Ufom Rectgul o [, ] UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Sttstcs S Issue Septeme 007 0 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet BINOMIAL CUMULATIVE DISTRIBUTION FUNCTION The tulte vlue s PX, whee X hs oml stuto wth e pmete p. p 0.05 0.0 0.5 0.0 0.5 0.0 0.5 0.40 0.45 0.50 5, 0 0.778 0.5905 0.447 0.77 0.7 0.68 0.60 0.0778 0.050 0.0 0.9774 0.985 0.85 0.77 0.68 0.58 0.484 0.70 0.56 0.875 0.9988 0.994 0.974 0.94 0.8965 0.869 0.7648 0.686 0.59 0.5000.0000 0.9995 0.9978 0.99 0.9844 0.969 0.9460 0.90 0.8688 0.85 4.0000.0000 0.9999 0.9997 0.9990 0.9976 0.9947 0.9898 0.985 0.9688 6, 0 0.75 0.54 0.77 0.6 0.780 0.76 0.0754 0.0467 0.077 0.056 0.967 0.8857 0.7765 0.6554 0.59 0.40 0.9 0. 0.66 0.094 0.9978 0.984 0.957 0.90 0.806 0.744 0.647 0.544 0.445 0.48 0.9999 0.9987 0.994 0.980 0.964 0.995 0.886 0.808 0.7447 0.656 4.0000 0.9999 0.9996 0.9984 0.9954 0.989 0.9777 0.9590 0.908 0.8906 5.0000.0000.0000 0.9999 0.9998 0.999 0.998 0.9959 0.997 0.9844 7, 0 0.698 0.478 0.06 0.097 0.5 0.084 0.0490 0.080 0.05 0.0078 0.9556 0.850 0.766 0.5767 0.4449 0.94 0.8 0.586 0.04 0.065 0.996 0.974 0.96 0.850 0.7564 0.647 0.5 0.499 0.64 0.66 0.9998 0.997 0.9879 0.9667 0.994 0.8740 0.800 0.70 0.608 0.5000 4.0000 0.9998 0.9988 0.995 0.987 0.97 0.9444 0.907 0.847 0.774 5.0000.0000 0.9999 0.9996 0.9987 0.996 0.990 0.98 0.964 0.975 6.0000.0000.0000.0000 0.9999 0.9998 0.9994 0.9984 0.996 0.99 8, 0 0.664 0.405 0.75 0.678 0.00 0.0576 0.09 0.068 0.0084 0.009 0.948 0.8 0.657 0.50 0.67 0.55 0.69 0.064 0.06 0.05 0.994 0.969 0.8948 0.7969 0.6785 0.558 0.478 0.54 0.0 0.445 0.9996 0.9950 0.9786 0.947 0.886 0.8059 0.7064 0.594 0.4770 0.6 4.0000 0.9996 0.997 0.9896 0.977 0.940 0.899 0.86 0.796 0.667 5.0000.0000 0.9998 0.9988 0.9958 0.9887 0.9747 0.950 0.95 0.8555 6.0000.0000.0000 0.9999 0.9996 0.9987 0.9964 0.995 0.989 0.9648 7.0000.0000.0000.0000.0000 0.9999 0.9998 0.999 0.998 0.996 9, 0 0.60 0.874 0.6 0.4 0.075 0.0404 0.007 0.00 0.0046 0.000 0.988 0.7748 0.5995 0.46 0.00 0.960 0. 0.0705 0.085 0.095 0.996 0.9470 0.859 0.78 0.6007 0.468 0.7 0.8 0.495 0.0898 0.9994 0.997 0.966 0.944 0.84 0.797 0.6089 0.486 0.64 0.59 4.0000 0.999 0.9944 0.9804 0.95 0.90 0.88 0.74 0.64 0.5000 5.0000 0.9999 0.9994 0.9969 0.9900 0.9747 0.9464 0.9006 0.84 0.746 6.0000.0000.0000 0.9997 0.9987 0.9957 0.9888 0.9750 0.950 0.90 7.0000.0000.0000.0000 0.9999 0.9996 0.9986 0.996 0.9909 0.9805 8.0000.0000.0000.0000.0000.0000 0.9999 0.9997 0.999 0.9980 0, 0 0.5987 0.487 0.969 0.074 0.056 0.08 0.05 0.0060 0.005 0.000 0.99 0.76 0.544 0.758 0.440 0.49 0.0860 0.0464 0.0 0.007 0.9885 0.998 0.80 0.6778 0.556 0.88 0.66 0.67 0.0996 0.0547 0.9990 0.987 0.9500 0.879 0.7759 0.6496 0.58 0.8 0.660 0.79 4 0.9999 0.9984 0.990 0.967 0.99 0.8497 0.755 0.6 0.5044 0.770 5.0000 0.9999 0.9986 0.996 0.980 0.957 0.905 0.88 0.784 0.60 6.0000.0000 0.9999 0.999 0.9965 0.9894 0.9740 0.945 0.8980 0.88 7.0000.0000.0000 0.9999 0.9996 0.9984 0.995 0.9877 0.976 0.945 8.0000.0000.0000.0000.0000 0.9999 0.9995 0.998 0.9955 0.989 9.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9997 0.9990 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Sttstcs S Issue Septeme 007 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet p 0.05 0.0 0.5 0.0 0.5 0.0 0.5 0.40 0.45 0.50, 0 0.5404 0.84 0.4 0.0687 0.07 0.08 0.0057 0.00 0.0008 0.000 0.886 0.6590 0.445 0.749 0.584 0.0850 0.044 0.096 0.008 0.00 0.9804 0.889 0.758 0.558 0.907 0.58 0.5 0.084 0.04 0.09 0.9978 0.9744 0.9078 0.7946 0.6488 0.495 0.467 0.5 0.45 0.070 4 0.9998 0.9957 0.976 0.974 0.844 0.77 0.58 0.48 0.044 0.98 5.0000 0.9995 0.9954 0.9806 0.9456 0.88 0.787 0.665 0.569 0.87 6.0000 0.9999 0.999 0.996 0.9857 0.964 0.954 0.848 0.79 0.68 7.0000.0000 0.9999 0.9994 0.997 0.9905 0.9745 0.947 0.888 0.806 8.0000.0000.0000 0.9999 0.9996 0.998 0.9944 0.9847 0.9644 0.970 9.0000.0000.0000.0000.0000 0.9998 0.999 0.997 0.99 0.9807 0.0000.0000.0000.0000.0000.0000 0.9999 0.9997 0.9989 0.9968.0000.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9998 5, 0 0.46 0.059 0.0874 0.05 0.04 0.0047 0.006 0.0005 0.000 0.0000 0.890 0.5490 0.86 0.67 0.080 0.05 0.04 0.005 0.007 0.0005 0.968 0.859 0.604 0.980 0.6 0.68 0.067 0.07 0.007 0.007 0.9945 0.9444 0.87 0.648 0.46 0.969 0.77 0.0905 0.044 0.076 4 0.9994 0.987 0.98 0.858 0.6865 0.555 0.59 0.7 0.04 0.059 5 0.9999 0.9978 0.98 0.989 0.856 0.76 0.564 0.40 0.608 0.509 6.0000 0.9997 0.9964 0.989 0.944 0.8689 0.7548 0.6098 0.45 0.06 7.0000.0000 0.9994 0.9958 0.987 0.9500 0.8868 0.7869 0.655 0.5000 8.0000.0000 0.9999 0.999 0.9958 0.9848 0.9578 0.9050 0.88 0.6964 9.0000.0000.0000 0.9999 0.999 0.996 0.9876 0.966 0.9 0.849 0.0000.0000.0000.0000 0.9999 0.999 0.997 0.9907 0.9745 0.9408.0000.0000.0000.0000.0000 0.9999 0.9995 0.998 0.997 0.984.0000.0000.0000.0000.0000.0000 0.9999 0.9997 0.9989 0.996.0000.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9995 4.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 0, 0 0.585 0.6 0.088 0.05 0.00 0.0008 0.000 0.0000 0.0000 0.0000 0.758 0.97 0.756 0.069 0.04 0.0076 0.00 0.0005 0.000 0.0000 0.945 0.6769 0.4049 0.06 0.09 0.055 0.0 0.006 0.0009 0.000 0.984 0.8670 0.6477 0.44 0.5 0.07 0.0444 0.060 0.0049 0.00 4 0.9974 0.9568 0.898 0.696 0.448 0.75 0.8 0.050 0.089 0.0059 5 0.9997 0.9887 0.97 0.804 0.67 0.464 0.454 0.56 0.055 0.007 6.0000 0.9976 0.978 0.9 0.7858 0.6080 0.466 0.500 0.99 0.0577 7.0000 0.9996 0.994 0.9679 0.898 0.77 0.600 0.459 0.50 0.6 8.0000 0.9999 0.9987 0.9900 0.959 0.8867 0.764 0.5956 0.44 0.57 9.0000.0000 0.9998 0.9974 0.986 0.950 0.878 0.755 0.594 0.49 0.0000.0000.0000 0.9994 0.996 0.989 0.9468 0.875 0.7507 0.588.0000.0000.0000 0.9999 0.999 0.9949 0.9804 0.945 0.869 0.748.0000.0000.0000.0000 0.9998 0.9987 0.9940 0.9790 0.940 0.8684.0000.0000.0000.0000.0000 0.9997 0.9985 0.995 0.9786 0.94 4.0000.0000.0000.0000.0000.0000 0.9997 0.9984 0.996 0.979 5.0000.0000.0000.0000.0000.0000.0000 0.9997 0.9985 0.994 6.0000.0000.0000.0000.0000.0000.0000.0000 0.9997 0.9987 7.0000.0000.0000.0000.0000.0000.0000.0000.0000 0.9998 8.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 4 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Sttstcs S Issue Septeme 007 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet p 0.05 0.0 0.5 0.0 0.5 0.0 0.5 0.40 0.45 0.50 5, 0 0.774 0.078 0.07 0.008 0.0008 0.000 0.0000 0.0000 0.0000 0.0000 0.644 0.7 0.09 0.074 0.0070 0.006 0.000 0.000 0.0000 0.0000 0.879 0.57 0.57 0.098 0.0 0.0090 0.00 0.0004 0.000 0.0000 0.9659 0.766 0.47 0.40 0.096 0.0 0.0097 0.004 0.0005 0.000 4 0.998 0.900 0.68 0.407 0.7 0.0905 0.00 0.0095 0.00 0.0005 5 0.9988 0.9666 0.885 0.667 0.78 0.95 0.086 0.094 0.0086 0.000 6 0.9998 0.9905 0.905 0.7800 0.56 0.407 0.74 0.076 0.058 0.007 7.0000 0.9977 0.9745 0.8909 0.765 0.58 0.06 0.56 0.069 0.06 8.0000 0.9995 0.990 0.95 0.8506 0.6769 0.4668 0.75 0.40 0.059 9.0000 0.9999 0.9979 0.987 0.987 0.806 0.60 0.446 0.44 0.48 0.0000.0000 0.9995 0.9944 0.970 0.90 0.77 0.5858 0.84 0..0000.0000 0.9999 0.9985 0.989 0.9558 0.8746 0.7 0.546 0.450.0000.0000.0000 0.9996 0.9966 0.985 0.996 0.846 0.697 0.5000.0000.0000.0000 0.9999 0.999 0.9940 0.9745 0.9 0.87 0.6550 4.0000.0000.0000.0000 0.9998 0.998 0.9907 0.9656 0.9040 0.7878 5.0000.0000.0000.0000.0000 0.9995 0.997 0.9868 0.9560 0.885 6.0000.0000.0000.0000.0000 0.9999 0.999 0.9957 0.986 0.946 7.0000.0000.0000.0000.0000.0000 0.9998 0.9988 0.994 0.9784 8.0000.0000.0000.0000.0000.0000.0000 0.9997 0.9984 0.997 9.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9996 0.9980 0.0000.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9995.0000.0000.0000.0000.0000.0000.0000.0000.0000 0.9999.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 0, 0 0.46 0.044 0.0076 0.00 0.000 0.0000 0.0000 0.0000 0.0000 0.0000 0.555 0.87 0.0480 0.005 0.000 0.000 0.0000 0.0000 0.0000 0.0000 0.8 0.44 0.54 0.044 0.006 0.00 0.000 0.0000 0.0000 0.0000 0.99 0.6474 0.7 0.7 0.074 0.009 0.009 0.000 0.0000 0.0000 4 0.9844 0.845 0.545 0.55 0.0979 0.00 0.0075 0.005 0.000 0.0000 5 0.9967 0.968 0.706 0.475 0.06 0.0766 0.0 0.0057 0.00 0.000 6 0.9994 0.974 0.8474 0.6070 0.48 0.595 0.0586 0.07 0.0040 0.0007 7 0.9999 0.99 0.90 0.7608 0.54 0.84 0.8 0.045 0.0 0.006 8.0000 0.9980 0.97 0.87 0.676 0.45 0.47 0.0940 0.0 0.008 9.0000 0.9995 0.990 0.989 0.804 0.5888 0.575 0.76 0.0694 0.04 0.0000 0.9999 0.997 0.9744 0.894 0.704 0.5078 0.95 0.50 0.0494.0000.0000 0.999 0.9905 0.949 0.8407 0.6548 0.4 0.7 0.00.0000.0000 0.9998 0.9969 0.9784 0.955 0.780 0.5785 0.59 0.808.0000.0000.0000 0.999 0.998 0.9599 0.877 0.745 0.505 0.9 4.0000.0000.0000 0.9998 0.997 0.98 0.948 0.846 0.6448 0.478 5.0000.0000.0000 0.9999 0.999 0.996 0.9699 0.909 0.769 0.57 6.0000.0000.0000.0000 0.9998 0.9979 0.9876 0.959 0.8644 0.7077 7.0000.0000.0000.0000 0.9999 0.9994 0.9955 0.9788 0.986 0.89 8.0000.0000.0000.0000.0000 0.9998 0.9986 0.997 0.9666 0.8998 9.0000.0000.0000.0000.0000.0000 0.9996 0.997 0.986 0.9506 0.0000.0000.0000.0000.0000.0000 0.9999 0.999 0.9950 0.9786.0000.0000.0000.0000.0000.0000.0000 0.9998 0.9984 0.999.0000.0000.0000.0000.0000.0000.0000.0000 0.9996 0.9974.0000.0000.0000.0000.0000.0000.0000.0000 0.9999 0.999 4.0000.0000.0000.0000.0000.0000.0000.0000.0000 0.9998 5.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Sttstcs S Issue Septeme 007 5 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet p 0.05 0.0 0.5 0.0 0.5 0.0 0.5 0.40 0.45 0.50 40, 0 0.85 0.048 0.005 0.000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.99 0.0805 0.0 0.005 0.000 0.0000 0.0000 0.0000 0.0000 0.0000 0.6767 0.8 0.0486 0.0079 0.000 0.000 0.0000 0.0000 0.0000 0.0000 0.869 0.4 0.0 0.085 0.0047 0.0006 0.000 0.0000 0.0000 0.0000 4 0.950 0.690 0.6 0.0759 0.060 0.006 0.000 0.0000 0.0000 0.0000 5 0.986 0.797 0.45 0.6 0.04 0.0086 0.00 0.000 0.0000 0.0000 6 0.9966 0.9005 0.6067 0.859 0.096 0.08 0.0044 0.0006 0.000 0.0000 7 0.999 0.958 0.7559 0.47 0.80 0.055 0.04 0.00 0.000 0.0000 8 0.9999 0.9845 0.8646 0.59 0.998 0.0 0.00 0.006 0.0009 0.000 9.0000 0.9949 0.98 0.78 0.495 0.959 0.0644 0.056 0.007 0.000 0.0000 0.9985 0.970 0.89 0.589 0.087 0.5 0.05 0.0074 0.00.0000 0.9996 0.9880 0.95 0.75 0.4406 0.05 0.0709 0.079 0.00.0000 0.9999 0.9957 0.9568 0.809 0.577 0.4 0.85 0.086 0.008.0000.0000 0.9986 0.9806 0.8968 0.70 0.4408 0. 0.075 0.09 4.0000.0000 0.9996 0.99 0.9456 0.8074 0.57 0.74 0.6 0.040 5.0000.0000 0.9999 0.997 0.978 0.8849 0.6946 0.440 0.4 0.0769 6.0000.0000.0000 0.9990 0.9884 0.967 0.7978 0.568 0.85 0.4 7.0000.0000.0000 0.9997 0.995 0.9680 0.876 0.6885 0.49 0.48 8.0000.0000.0000 0.9999 0.998 0.985 0.90 0.79 0.565 0.79 9.0000.0000.0000.0000 0.9994 0.997 0.967 0.870 0.6844 0.47 0.0000.0000.0000.0000 0.9998 0.9976 0.987 0.956 0.7870 0.567.0000.0000.0000.0000.0000 0.999 0.995 0.9608 0.8669 0.68.0000.0000.0000.0000.0000 0.9997 0.9970 0.98 0.9 0.785.0000.0000.0000.0000.0000 0.9999 0.9989 0.997 0.9595 0.8659 4.0000.0000.0000.0000.0000.0000 0.9996 0.9966 0.9804 0.9 5.0000.0000.0000.0000.0000.0000 0.9999 0.9988 0.994 0.9597 6.0000.0000.0000.0000.0000.0000.0000 0.9996 0.9966 0.9808 7.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9988 0.997 8.0000.0000.0000.0000.0000.0000.0000.0000 0.9996 0.9968 9.0000.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9989 0.0000.0000.0000.0000.0000.0000.0000.0000.0000 0.9997.0000.0000.0000.0000.0000.0000.0000.0000.0000 0.9999.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 6 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Sttstcs S Issue Septeme 007 4 Eecel GCE Mthemtcs Gettg Stte

Fomule Booklet p 0.05 0.0 0.5 0.0 0.5 0.0 0.5 0.40 0.45 0.50 50, 0 0.0769 0.005 0.000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.794 0.08 0.009 0.000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.5405 0.7 0.04 0.00 0.000 0.0000 0.0000 0.0000 0.0000 0.0000 0.7604 0.50 0.0460 0.0057 0.0005 0.0000 0.0000 0.0000 0.0000 0.0000 4 0.8964 0.4 0. 0.085 0.00 0.000 0.0000 0.0000 0.0000 0.0000 5 0.96 0.66 0.94 0.0480 0.0070 0.0007 0.000 0.0000 0.0000 0.0000 6 0.988 0.770 0.6 0.04 0.094 0.005 0.000 0.0000 0.0000 0.0000 7 0.9968 0.8779 0.588 0.904 0.045 0.007 0.0008 0.000 0.0000 0.0000 8 0.999 0.94 0.668 0.07 0.096 0.08 0.005 0.000 0.0000 0.0000 9 0.9998 0.9755 0.79 0.447 0.67 0.040 0.0067 0.0008 0.000 0.0000 0.0000 0.9906 0.880 0.586 0.6 0.0789 0.060 0.00 0.000 0.0000.0000 0.9968 0.97 0.707 0.86 0.90 0.04 0.0057 0.0006 0.0000.0000 0.9990 0.9699 0.89 0.50 0.9 0.066 0.0 0.008 0.000.0000 0.9997 0.9868 0.8894 0.670 0.79 0.6 0.080 0.0045 0.0005 4.0000 0.9999 0.9947 0.99 0.748 0.4468 0.878 0.0540 0.004 0.00 5.0000.0000 0.998 0.969 0.869 0.569 0.80 0.0955 0.00 0.00 6.0000.0000 0.999 0.9856 0.907 0.689 0.889 0.56 0.047 0.0077 7.0000.0000 0.9998 0.997 0.9449 0.78 0.5060 0.69 0.0765 0.064 8.0000.0000 0.9999 0.9975 0.97 0.8594 0.66 0.56 0.7 0.05 9.0000.0000.0000 0.999 0.986 0.95 0.764 0.4465 0.974 0.0595 0.0000.0000.0000 0.9997 0.997 0.95 0.89 0.560 0.86 0.0.0000.0000.0000 0.9999 0.9974 0.9749 0.88 0.670 0.900 0.6.0000.0000.0000.0000 0.9990 0.9877 0.990 0.7660 0.509 0.99.0000.0000.0000.0000 0.9996 0.9944 0.9604 0.848 0.64 0.59 4.0000.0000.0000.0000 0.9999 0.9976 0.979 0.90 0.760 0.449 5.0000.0000.0000.0000.0000 0.999 0.9900 0.947 0.804 0.556 6.0000.0000.0000.0000.0000 0.9997 0.9955 0.9686 0.87 0.664 7.0000.0000.0000.0000.0000 0.9999 0.998 0.9840 0.90 0.760 8.0000.0000.0000.0000.0000.0000 0.999 0.994 0.9556 0.889 9.0000.0000.0000.0000.0000.0000 0.9997 0.9966 0.9765 0.8987 0.0000.0000.0000.0000.0000.0000 0.9999 0.9986 0.9884 0.9405.0000.0000.0000.0000.0000.0000.0000 0.9995 0.9947 0.9675.0000.0000.0000.0000.0000.0000.0000 0.9998 0.9978 0.986.0000.0000.0000.0000.0000.0000.0000 0.9999 0.999 0.99 4.0000.0000.0000.0000.0000.0000.0000.0000 0.9997 0.9967 5.0000.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9987 6.0000.0000.0000.0000.0000.0000.0000.0000.0000 0.9995 7.0000.0000.0000.0000.0000.0000.0000.0000.0000 0.9998 8.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Sttstcs S Issue Septeme 007 7 Eecel GCE Mthemtcs Gettg Stte 5

Fomule Booklet POISSON CUMULATIVE DISTRIBUTION FUNCTION The tulte vlue s PX, whee X hs Posso stuto wth pmete λ. λ 0.5.0.5.0.5.0.5 4.0 4.5 5.0 0 0.6065 0.679 0. 0.5 0.08 0.0498 0.00 0.08 0.0 0.0067 0.9098 0.758 0.5578 0.4060 0.87 0.99 0.59 0.096 0.06 0.0404 0.9856 0.997 0.8088 0.6767 0.548 0.4 0.08 0.8 0.76 0.47 0.998 0.980 0.944 0.857 0.7576 0.647 0.566 0.45 0.4 0.650 4 0.9998 0.996 0.984 0.947 0.89 0.85 0.754 0.688 0.5 0.4405 5.0000 0.9994 0.9955 0.984 0.9580 0.96 0.8576 0.785 0.709 0.660 6.0000 0.9999 0.999 0.9955 0.9858 0.9665 0.947 0.889 0.8 0.76 7.0000.0000 0.9998 0.9989 0.9958 0.988 0.97 0.9489 0.94 0.8666 8.0000.0000.0000 0.9998 0.9989 0.996 0.990 0.9786 0.9597 0.99 9.0000.0000.0000.0000 0.9997 0.9989 0.9967 0.999 0.989 0.968 0.0000.0000.0000.0000 0.9999 0.9997 0.9990 0.997 0.99 0.986.0000.0000.0000.0000.0000 0.9999 0.9997 0.999 0.9976 0.9945.0000.0000.0000.0000.0000.0000 0.9999 0.9997 0.999 0.9980.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9997 0.999 4.0000.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9998 5.0000.0000.0000.0000.0000.0000.0000.0000.0000 0.9999 6.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 7.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 8.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 9.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 λ 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 0.0 0 0.004 0.005 0.005 0.0009 0.0006 0.000 0.000 0.000 0.000 0.0000 0.066 0.074 0.0 0.007 0.0047 0.000 0.009 0.00 0.0008 0.0005 0.0884 0.060 0.040 0.096 0.00 0.08 0.009 0.006 0.004 0.008 0.07 0.5 0.8 0.088 0.059 0.044 0.00 0.0 0.049 0.00 4 0.575 0.85 0.7 0.70 0. 0.0996 0.0744 0.0550 0.040 0.09 5 0.589 0.4457 0.690 0.007 0.44 0.9 0.496 0.57 0.0885 0.067 6 0.6860 0.606 0.565 0.4497 0.78 0.4 0.56 0.068 0.649 0.0 7 0.8095 0.7440 0.678 0.5987 0.546 0.450 0.856 0.9 0.687 0.0 8 0.8944 0.847 0.796 0.79 0.660 0.595 0.5 0.4557 0.98 0.8 9 0.946 0.96 0.8774 0.805 0.7764 0.766 0.650 0.5874 0.58 0.4579 0 0.9747 0.9574 0.9 0.905 0.86 0.859 0.764 0.7060 0.645 0.580 0.9890 0.9799 0.966 0.9467 0.908 0.888 0.8487 0.800 0.750 0.6968 0.9955 0.99 0.9840 0.970 0.957 0.96 0.909 0.8758 0.864 0.796 0.998 0.9964 0.999 0.987 0.9784 0.9658 0.9486 0.96 0.898 0.8645 4 0.9994 0.9986 0.9970 0.994 0.9897 0.987 0.976 0.9585 0.9400 0.965 5 0.9998 0.9995 0.9988 0.9976 0.9954 0.998 0.986 0.9780 0.9665 0.95 6 0.9999 0.9998 0.9996 0.9990 0.9980 0.996 0.994 0.9889 0.98 0.970 7.0000 0.9999 0.9998 0.9996 0.999 0.9984 0.9970 0.9947 0.99 0.9857 8.0000.0000 0.9999 0.9999 0.9997 0.999 0.9987 0.9976 0.9957 0.998 9.0000.0000.0000.0000 0.9999 0.9997 0.9995 0.9989 0.9980 0.9965 0.0000.0000.0000.0000.0000 0.9999 0.9998 0.9996 0.999 0.9984.0000.0000.0000.0000.0000.0000 0.9999 0.9998 0.9996 0.999.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9999 0.9997 8 UA08598 Eecel AS/A level Mthemtcs Fomule Lst: Sttstcs S Issue Septeme 007 6 Eecel GCE Mthemtcs Gettg Stte