thhpRhpikr; rl;lq;fs;  njhlH – 8

kfdpd; kfs; ghfk; ngWk; Kiwfs;.

A.gq;F fpilf;fhj epiyfs;:-

1. ,we;jtUf;F kfd; ,Ue;jhy; kfdpd; kfSf;Fg; gq;F fpilf;fhJ.

2. ,we;jtUf;F ,uz;L ngz;kf;fNsh mij tpl mjpfNkh ,Ue;jhYk; kfdpd; kfSf;Fg; ghfk; fpilahJ.

3. xUgb Ke;jpa kfdpd; kfd; ,Ue;jhYk; gq;F fpilahJ.

4. xUgb Ke;jpa kfdpd; kfs; xd;Wf;F Nkw;gl;ltHfs; ,Ue;jhYk; gq;F VJk; fpilahJ.

5. ,we;jtUf;Fg; ngz; kf;fs; kl;LkpUe;J kfdpd; kfSlNdh> my;yJ Mz; topr; re;jjpapy; mLj;jLj;j jiy KiwapNyh Mz; ,Ue;jhy; kfd; topg; NguDld; kfdpd; kfs; m]ghthfp MZf;F ,uz;L> ngz;Zf;F xd;W vd;w tpfpjj;jpy; gq;F ngWths;.

(gpd;dhy; tUk; vLj;Jf;fhl;L 9 ghHf;f)

B.½ gq;F ngWk; epiy.

Nkw;fz;l A1 Kjy; A5 tiuAs;s thhpRfs; ,y;yhjpUe;J kfdpd; kfs; xUj;jp kl;Lk; ,Ue;jhy; ,we;jtH nrhj;jpy; ghjp fpilf;Fk;.

(mjhtJ ,we;jtUf;F Mz;kf;fNsh> ngz;kf;fNsh> ,y;yhjpUf;f Ntz;Lk;)

C. 2/3 gq;F ngWk; epiy.

Nkw; $wg;gl;l A1 Kjy; A5 tiuAs;s thhpRfs; ,y;yhjpUe;J kfdpd; kfs; xd;Wf;F Nkw;gl;ltHfs; ,Ue;jhy; nrhj;jpy; 2/3 gq;F fpilf;Fk;.

(,we;jtUf;F Mz;kf;fNsh> ngz; kf;fNsh> ,y;yhjpUf;f Ntz;Lk;)

D.1/6 gq;F ngWk; epiy.

,we;jtUf;F xNunahU kfs; kl;Lk; ,Ue;jhy; kfdpd; kfSf;F Mwpnyhd;W (ngz; kf;fSf;F %d;wpy; ,uz;L ghfq;fis epiwT gLj;Jk; nghUl;L) kfdpd; kfSf;Ff; nfhLf;fg;gLfpwJ.

Nkw; $wg;gl;l mikj;Jf;Fk; vLj;Jf; fhl;Lfs; tUkhW:-

A.f;F vLj;Jf;fhl;L 1

fztd;    je;ij    kfd; kfs;    kfdpd;kfs;   kfdpd;kfd;

  1/4              1/6                m]gh           ghfk; fpilahJ

,e;epiyapy; nrhj;ij 36 gq;F itf;f Ntz;Lk;. mjpy; fztDf;F 9 gq;Fk;> je;ijf;F 6 gq;Fk; nfhLj;jJ Nghf kPjpAs;s 21 ghfj;ij 3 Mfg; ghpf;f Ntz;Lk;. mjpy; 2 gq;F Mz; kfDf;F 14 ck;> xUgq;F ngz; kfSf;F 7 ck; nfhLf;f Ntz;Lk;.

kfdpd; kfSf;Fk;> kfdpd; kfDf;Fk; gq;F fpilahJ. Vnddpy; kfd; ,Ue;J mtHfs; gq;F ngWtij tpl;Lk; jLf;fpd;wdH.

vLj;Jf;fhl;L – 2

je;ij    jha;    kidtp    ,Ungz;kf;fs;    kfdpd; kfs;

 1/6             1/6           1/8                     2/3                   ghfk; fpilahJ.

,e;epiyapy; nrhj;ij 27 ghfkhf itf;f Ntz;Lk;. je;ijf;F 4 gq;Fk; jha;f;F 4 gq;Fk; kidtpf;F 3 gq;Fk; ,Ungz; kf;fSf;Fk; 16 gq;Fk; nfhLf;f Ntz;Lk;. nkhj;jg; gq;Ffis vz;zpdhy; 24gq;F itj;J mJ 27 Mfg; gq;F itf;f Ntz;ba #o;epiyia Vw;gLj;Jk; vd;w Vw;w tpjpf; nfhs;if tif nrhj;Jg; gq;fPL MFk;.

vLj;Jf;fhl;L – 3

kfs;; 2     kfdpd; kfd;     kfdpd; kfdpd; kfs;

   2/3                  1/3 m]gh     2 kfs; ,Ug;gjhYk; xU gb Ke;jpa kfdpd; 

                         kfdhYk; gq;F jLf;fg;gl;lJ.

nrhj;ij 3 gq;F itj;J kfs; 2 NgH ,Ug;gjhy; 2/3 gq;F vd;w mbg;gilapy; 2 gq;F nfhLj;jJ Nghf kPjpia kfdpd; kfd; ngWfpwhH.

vLj;Jf;fhl;L – 4.

kfdpd; kfd;         kfdpd; kfs;

   2/3                               1/3 m]gh

,e;epiyapy; nkhj;j nrhj;ij 3 gq;F itf;f Ntz;Lk. MZf;F 2> ngz;Zf;F 1 vd;w tpjpg;gb kfdpd; kfd; 2 gq;Fk;> kfdpd; kfs; 1 gq;Fk; m]ghthfg; ngWtH.

vLj;Jf;fhl;L – 5.

kfdpd; kfdpd; kfd;              kfdpd; kfdpd; kfs;

      2/3                                                             1/3

Nkw;fz;l 4 tJ vLj;Jf; fhl;Lg; Nghd;wNj ,JTk;.

vLj;Jf;fhl;L – 6.

kfdpd; kfdpd; kfd;             kfdpd; kfdpd; kfs; 

      3 NgH                         4 NgH

,e;epiyapy; nkhj;j nrhj;ij 10 gq;F itf;f Ntz;Lk;.

6 gq;if kfdpd; kfdpd; kfd; 3 NgUf;Fk; rkkhfg; ngWtH. mjhtJ xt;nthUtUf;Fk; 2 gq;F fpilf;Fk;. kPjp 4 gq;Ffs; kfdpd; kfdpd; kfs; 4 NgUf;Fk; xt;nthUtUf;Fk; 1 gq;F tPjk; fpilf;Fk;.

vLj;Jf;fhl;L – 7.

kfdpd; kfs;        je;ij

    1/2                        1/2 m]gh

,we;jtUf;F kfNdh> kfNsh> ahUk; ,y;yhjjhy; kfdpd; kfs; ghjpg; gq;ifg; ngWfpwhs;. kPjpg;ghjpia je;ij m]gh vd;w hPjpapy; ngWfpwhH.

vLj;Jf;fhl;L – 8.

je;;ij       jha;       kfdpd; kfs; 3 NgH

  1/6                   1/6                         2/3

,e;epiyapy; nkhj;j nrhj;ij 6 gq;F itf;f Ntz;Lk; je;ijf;Fk; jha;f;Fk; jyh xU gq;Fk;> kPjpAs;s 4 gq;;ifAk; kfdpd; kfs; 3 NgUk; ngWtH.

je;;ij       jha;       kfs;     kfdpd; kfs; 3 NgH

  1/6                   1/6                  1/2                            2/3

,e;epiyapy; nrhj;ij 6 gq;F itj;J je;ijf;F xU gq;Fk;> jha;f;F xU gq;Fk; kfSf;F 3 gq;Fk;> kfdpd; kfs; 4 NgUf;Fk; 1 gq;Fk; nfhLf;f Ntz;Lk;.

vLj;Jf;fhl;L – 9.

je;ij   ,U kfs;      kfdpd; kfd;       kfdpd; kfs;

  1/6              2/3                       m]gh             m]gh

,e;epiyapy; nkhj;j nrhj;ij ( 6 x 3 ) = 18 gq;F itf;f Ntz;Lk;. je;ijf;F 3 gq;F> ,U kfs;fSf;Fk; 12 gq;F> kPjpAs;s 3 gq;fpy; kfdpd; kfDf;F 2k;> kfdpd; kfSf;F xd;Wk; nfhLf;f Ntz;Lk;.

,tw;Wf;fhd Mjhuq;fs; my;FHMdpd; 4:11 tJ trdj;jpYk; thhpRhpikr; rl;l E}y;fspYk; fhzyhk;