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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;55

Ma;e;jwp Nrhjid

3. fdtsT

tpdhg;gj;jpuk;

1. jug;gl;l nghUSf;F nghUj;jkhd tifapy; cupa epuypy; () my;yJ ()

vd milahskpLf.

mwpKfg;gLj;Jk; ngau; jsTUtkhFk; jpz;kkhFk;

rJuk;

rJuKfp

fdTU

nrt;tfk;

tl;lk;

cUis

,izfuk;

Kf;Nfhzk;

2. xt;nthd;Wk; ntspapy; vLf;Fk; ,lj;ijg; gw;wp cupa epuypy; () my;yJ ()

vd milahskpLf.

mwpKfg;gLj;Jk; ngau; ,lj;ijg; gpbf;Fk; ,lj;ijg; gpbf;fhJ

nrq;fy;;

fljhrp

ge;J

kPd;bd;

gp];fl; ngl;b

rtu myF

Gj;jfk;

mopwg;gu;

3. jug;gl;l jpz;kq;fs; Fwpf;Fk; ngaiu vOJf.

jpz;kk; ngau;

i.

ii.

iii.

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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;56

jpz;kk; ngau;

iv.

v

vi

4. jug;gl;Ls;s rJuKfpfspd; xU tpspk;gpd; ePsj;ij vOJf.

rJuKfp tpspk;nghd;wpd; ePsk;

i.

1 cm 1 cm 1 cm 1 cm

ii.

2 cm 2 cm 2 cm 2 cm

iii.

3 cm 3 cm

3 cm 3 cm 5. jug;gl;l cUit mtjhdpj;J ,ilntspfis epug;Gf.

fdTU ePsk; mfyk; cauk;

i. 2 cm 1 cm 1 cm

ii.

2 cm 1 cm

3 cm iii.

1 cm 4 cm 2 cm

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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;57

6. xU fl;ilapd; fdtsT 1 fdnrd;up kPw;wu; 3(1 )cm vdf; nfhz;L

fPNo cs;s jpz;kq;fspd; fdtsitf; fhz;f.

jpz;kk; ePsk; mfyk; cauk; fl;ilfspd; vz;zpf;if fdtsT

2cm 1cm 1cm

3cm 1 cm 1cm

3cm 2cm 1cm

7. jug;gl;l mstPLfSf;fika ml;ltizia epug;Gf.

fdTUtpd; mstPLfs;

ePsk; mfyk; cauk; ePsk;mfyk;cauk; fdtsT

i. 1cm 1cm 1cm 1 1 1 1cm3

ii. 2cm 1cm 1cm 2 1 1 2cm3

iii. 2cm 2cm 1cm

iv. 5cm 2cm 1cm

v. 8cm 5cm 1cm

8. jug;gl;l juTfSf;F Vw;g ml;ltizia epug;Gf.

ePsk; mfyk; cauk; ePsk;mfyk;cauk; fdtsT

i. 5cm 4cm 1cm 541 20cm3

ii. 10cm 4cm 5cmiii. 8cm 7cm 10cmiv. 12cm 8cm 10cm

9. jug;gl;l juTfSf;F Vw;g ml;ltizia epug;Gf.

ePsk; mfyk; cauk; ePsk;mfyk;cauk; fdtsT

i. 5m 2m 1cm 521 10cm3

ii. 4m 2m 2 miii. 10m 5 m 3cmiv. 8 m 5 m 4 mv. 12m 8 m 4 m

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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;58

10. jug;gl;l juTfSf;F Vw;g ml;ltizia epug;Gf.

gf;fnkhd;wpd; ePsk; fhZk; tpjk; fdtsT

i. 3 cm 3 3 3 27 cm2

ii. 5cmiii. 10miv. 12cmv. 20cm

11. jug;gl;l jpz;kg; nghUnshd;iw mtjhdpj;J mjd; FWf;F ntl;LKfk; rPuhdjh

vd cupa epuypy; milahskpl;Lf; fhl;Lf.

FWf;Fntl;LKfk; FWf;Fntl;LKfk;

rPuhdJ rPuhdjy;y

i.

ii.

iii.

iv.

v.

12. cupa epuypy; nghUj;jkhf milahskpLf.

jpz;kj;jpd; ngau; rPuhd FWf;F ntl;L rPuhd FWf;Fntl;L

Kfk; cz;L Kfk; ,y;iy

i. rJuKfp ii. fdTU

iii. rJumbf; $k;gfk;

iv. Kf;Nfhz mupak;

v. $k;G

vi. cUis

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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;59

13. jug;gl;Ls;s jpz;kq;fspd; epow;wpa gFjpahd FWf;Fntl;bd; gug;gsitf;

fhz;f.

fdTU FWf;Fntl;bd; gug;gsT

i. 2 cm

3 cm 5 cm

ii.

5 cm 4 cm

3 cm

iii. 10 cm

2 cm 5 cm

jug;gl;l A, B, C, D cUf;fis mtjhdpj;J 14> 15 f;Fupa ml;ltizia

epug;Gf.

A. 2 cm

2 cm 5 cm

B.

8 cm

6 cm

10cm

C.

5 cm 5 cm

5 cm

5 cm D. 12 cm

2 cm 8 cm

14. fdTU ePsk; mfyk; cauk; fdtsT

i. A 5 cm 2cm 2 cm 5 2 2 = 20 cm3

ii. B 8cm 6 cm 10cm ....... ....... .......= ........... cm3

iii. C ..... ..... ..... ....... ....... .......= ........... cm3

iv. D .... .... ..... ....... ....... .......= ........... cm3

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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;60

15. fdTU FWf;F ntl;bd; gug;gsT ePsk; /cauk; fdtsT

i. A 22 = 4 cm2 5 cm 4 5 = 20 cm3

ii. B 8 6 = ....... 10 cm ......................................iii. C ..............= ........ 5 cm .....................................iv. D ..............= ........ 12 cm .....................................

16. jug;gl;l fdTUf;fspd; fdtsitf; fhz;f.

FWf;Fntl;bd; gug;gsT ePsk; /cauk; fdtsT

240cm 12cm 3480cm

210cm 8cm

225cm 3cm

2100cm 24cm

17. jug;gl;Ls;s ml;ltizia ed;F mtjhdpj;j rJuKfpfspd; fdtsitf;

fhz;f.

FWf;Fntl;bd; gug;gsT ePsk; /cauk; fdtsT

210cm 5cm 310 5 50cm

26cm 4cm

220cm 12cm

218cm 10cm

18. jug;gl;l nrq;Nfhz Kf;Nfhzpfspd; gug;gsitf; fhz;f.

nrq;Nfhz Kf;Nfhzp 1

gug; gsT × mb × nrq;Fj;Jauk;2

i. 10 cm

8 cm

21 10 8 402

cm

ii. 6 cm 8 cm

10 cm ...............................................

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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;61

nrq;Nfhz Kf;Nfhzp 1

gug; gsT × mb × nrq;Fj;Jauk;2

iii.

4 cm

10 cm .....................................................

iv. 5 cm 12 cm

13 cm ....................................................

19. jug;gl;l Kf;Nfhzpfspd; gug;gsitf; fhz;f.

nrq;Nfhz Kf;Nfhzp 1× mb × nrq;Fj;Jauk; gug; gsT

2

i. 5 cm 4 cm

10 cm

21 10 4 202

cm

ii. 12 cm

5 cm 21 ....... ....... ..............

2cm

iii.

6 cm 10 cm

5 cm ..............................................

iv. 12 cm

6 cm

7 cm

..............................................

20. jug;gl;l mupaq;fspd; rPuhd FWf;Fntl;L Kfq;fis epow;wpf; fhl;Lf.

i. ii.

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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;62

iii.

iv.

21. jug;gl;l cUf;fis mtjhdpj;J ,ilntspfis epug;Gf.

i. nrq;Nfhz Kf;Nfhzpia mbahff; nfhz;l

nrt;tupakhFk;.

ii. ...........................................................................mbahff; nfhz;l nrt;tupakhFk;.

iii. ...........................................................................mbahff; nfhz;l nrt;tupakhFk;.

iv............................................................................mbahff; nfhz;l nrt;tupakhFk;.

22. fPNo jug;gl;l nrt;tupaq;fspd; FWf;Fntl;L gug;gsitf; fhz;f.

i. 5 cm

3 cm

4 cm

2

............. .................

.....................cm

1FWf;Fntl;bd; gug; gsT × ×

2

ii. 6 cm

8 cm

14 cm

10 cm

2

............. .................

.....................cm

1FWf;Fntl;bd; gug; gsT × ×

2

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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;63

iii. 5 cm

12 cm

13 cm

15 cm

2

............. .................

.....................cm

1FWf;Fntl;bd; gug; gsT × ×

2

23. 22k; tpdhtpy; jug;gl;l mupaq;fspd; fdtsitf; fhz;f.

i. fdtsT = FWf;Fntl;bd; gug;gsT ePsk;= .................. .................= .................. 3cm

ii. fdtsT = FWf;Fntl;bd; gug;gsT ePsk;= .................. .................= .................. 3cm

iii. fdtsT = FWf;Fntl;bd; gug;gsT ePsk;= .................. .................= .................. 3cm

24. jug;gl;l nrt;tupaq;fspd; fdtsitf; fhz;f.

i.

10 cm 8 cm

6 cm

2

............. .................

.....................cm

1FWf;Fntl;bd; gug; gsT × ×

2

ii. 10 cm

12 cm

4 cm

2

............. .................

.....................cm

1FWf;Fntl;bd; gug; gsT × ×

2

iii.

20 cm

8 cm

12 cm

2

............. .................

.....................cm

1FWf;Fntl;bd; gug; gsT × ×

2

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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;64

25. tpdh 24,y; cs;s nrt;tupaq;fspd; fdtsitf; fhz;f.

i. fdtsT = FWf;Fntl;bd; gug;gsT ePsk;= .................. .................= .................. 3cm

ii. fdtsT = FWf;Fntl;bd; gug;gsT ePsk;= .................. .................= .................. 3cm

iii. fdtsT = FWf;Fntl;bd; gug;gsT ePsk;= .................. .................= .................. 3cm

26. ml;ltizapy; cs;s juTfSf;F Vw;g ,ilntspfis epug;Gf.

fdtsT FWf;Fntl;bd; gug;G ePsk; ngWk; tpjk; ePsk;

i. 200 cm3 40 cm220040 5 cm

ii. 120 cm3 30 cm2.................................................... ........................

iii. 48 cm3 12 cm2................................................... .........................

iv. 220 cm3 20 cm2.................................................. ........................

27. ml;ltizia mtjhdpj;J epuy;fisg; G+u;j;jp nra;f.

fdtsT ePsk; FWf;Fntl;bd; FWf;Fntl;bd;

gug;gsT ngWk; tpjk; gug;gsT

i. 400 cm3 5 cm4005 80 cm2

ii. 140 cm3 4cm .............................. .................................iii. 900 cm3 5 cm .............................. ..................................iv. 1400 cm3 10 cm .............................. ..................................

28. jug;gl;l nrt;tupaq;fis fUj;jpw; nfhz;L tpilaspf;f.

i. rJu mbiaf; nfhz;l nrt;tupankhd;wpd; fdtsT 3768cm MFk;. mjd;

cauk; 12cm vdpd;>a. mupaj;jpd; FWf;Fntl;bd; gug;gsitf; fhz;f.

b. mbapd; xU gf;fj;jpd; ePsj;ijf; fhz;f.

ii. nrq;Nfhz mbiaf; nfhz;l nrt;tupankhd;wpd; fdtsT 3120cm MFk;.

mjd; cauk; 10cm vdpd;>a. mupaj;jpd; FWf;Fntl;bd; gug;gsitf; fhz;f.

b. mbapd; nrq;Nfhzj;ij mikf;Fk; xU gf;fj;jpd; ePsk; 6cm vdpd;mLj;j gf;fj;jpd; ePsj;ijf; fhz;f.

iii. nrt;tf mbiaf; nfhz;l nrt;tupankhd;wpd; fdtsT 3960cm MFk;.

mjd; cauk; 12cm vdpd;>a. mupaj;jpd; FWf;Fntl;bd; gug;gsitf; fhz;f.

b. mbapd; ePsk; 10cm vdpd; mfyj;ijf; fhz;f.

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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;65

Ma;e;jwp Nrhjid

3. fdtsT

tpilfSk; MNyhridfSk;

1. mwpKfg;gLj;Jk; ngau; jsTUtkhFk; jpz;kkhFk;

rJuk;

fdTU

nrt;tfk;

tl;lk;

cUis

,izfuk;

Kf;Nfhzk;

2. mwpKfg;gLj;Jk; ngau; ,lj;ijg; gpbf;Fk; ,lj;ijg; gpbf;fhJ

fljhrp

ge;J

kPd;bd;

gp];fl; ngl;b

rtu myF

Gj;jfk;

mopwg;gu;

3. i. ivii. v.iii.

4. i. 1cm ii. 2cm iii. 3cm

5. ePsk; mfyk; cauk;

i. 2cm 1cm 1cmii. 3cm 1cm 2cmiii. 4cm 2cm 1cm

6. i. 2 , 2cm3

ii. 3 , 3cm3

iii. 6 , 6cm3

7. iii. 32 2 1 4cm iv. 35 2 1 10cm v. 38 5 1 40cm

8. ii. 310 4 5 200cm iii. 38 7 10 560cm iv. 312 8 10 960cm

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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;66

9. ii. 34 2 2 16cm iii. 310 5 3 150cm iv. 38 5 4 160cm v. 312 8 4 384cm

10. ii. 35 5 5 125cm iii. 310 10 10 1000cm iv. 312 12 12 1728cm v. 320 20 20 8000cm

11. ii. iii. iv. v.

12. ii. iii. iv. v. vi.

13. i. 23 2 6cm ii. 24 4 16cm iii. 25 2 10cm

14. ii. 38 , 6 ,10 (8 6) 10 480cm cm cm cm iii. 35 , 5 , 5 (5 5) 5 125cm cm cm cm

iv. 312 ,8 , 2 (8 2) 12 192cm cm cm cm

15. ii. 2 38 6 48 48 10 480cm cm iii. 2 35 5 25 25 5 125cm cm iv. 2 38 2 16 16 12 192cm cm

16. ii. 31 0 8 8 0 cm iii. 32 5 3 7 5 cm iv. 31 0 0 2 4 2 4 0 0 cm

17. ii. 36 4 2 4 m iii. 320 12 240m iv. 31 8 1 0 1 8 0m

18. ii. 21 8 6 242

cm iii. 21 10 4 202

cm

iv. 21 12 5 302

cm

19. ii. 21 12 5 302

cm iii. 21 10 5 252

cm

iv. 21 12 6 362

cm

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Ma;e;jwp Nrhjidfs; mstPLfs;

fzpjj;Jiw Njrpa fy;tp epWtfk;67

20.

21. ii. rJuk;

iii. nrt;tfk;

iv. ,Urkgf;f Kf;Nfhzp

22. i. 21 4 3 62

cm ii. 21 6 8 242

cm

iii. 21 5 12 302

cm

23. i. 26 5 30cm ii. 224 4 96cm iii. 230 10 300cm

24. i. 21 10 6 302

cm ii. 21 4 12 242

cm

iii. 21 20 8 802

cm

25. i. 23 0 8 2 4 0 cm ii. 224 10 240cm iii. 28 0 1 2 9 6 cm

26. ii.120 430

cm iii.48 412

cm

iv.220 1120

cm

27. ii. 2140 354

cm iii. 2900 1805

cm

iv. 21400 14010

cm