(Nurturing Mathematical Talent in Schools) · 2017. 11. 26. · 1 \yqamXvkv – (NuMATS) (Nurturing...

1

\yqamXvkv – (NuMATS)(Nurturing Mathematical Talent in Schools)

tNmZy-ti-J-cWw

November 2017

2

apJ-hpc

KWn-X-tØm-Sp≈ Ipń-I-fpsS Xm¬]cyw ap≥Im-e-ßsf At]-£n®v IqSn-bn-́ p-

s≠-¶nepw kvtImf¿jn∏v ]co-£-I-fnepw a‰pw anI® hnPbw t\Sp-hm≥ Ct∏mgpw

Ipń-Iƒ°v km[n-°p-∂n-√. \yqamXvkv ]co-£-bnepw CXp-X-s∂-bmWv Pn√-bnse

ÿnXn.

Cu kml-N-cy-Øn¬ \yqamXvkv ]co-£-bpsS ssienbpw tNmZy-co-Xn-Ifpw

IqSp-X¬ Ipń-Iƒ°pw A[ym-]-I¿°pw ]cn-N-b-s∏-Sp-ØpI F∂ e£y-tØmsS

Cu sa‰o-cn-b¬ ]pd-Øn-d-°p-I-bm-Wv. ka-b-]-cn-an-Xnbpw hnZ-KvZ-cmb A[ym-]-

Isc IqSp-X-embn ]s¶-Sp-∏n-°m≥ Ign-bm-Xn-cp-∂Xpw Ipsd-sbms° Cu

sa‰o-cn-b-ens‚ \ne-hm-csØ _m[n-®n-́ p-≠v. F¶nepw \ΩpsS Pn√-bnse Hcp

{]Y-a-kw-cw-`-sa∂ \ne-bn¬ A[ym-]-I-kp-lr-Øp-°fpw hnZym¿∞n-Ifpw

hnZym-̀ ymk Hmô-k¿amcpw CXv kzoI-cn-°-W-sa∂pw ]c-am-h[n {]tbm-P-\-s∏-

Sp-Ø-W-sa∂pw A`y¿∞n-°p-∂p. IqSp-X¬ sa®-s∏-S-en-\mbn \nß-fpsS

hne-tb-dnb A`n-{]m-b-ßfpw \n¿t±-i-ßfpw [email protected] F∂ A{U- n¬

Adn-bn-°p-a-t√m.

Biw-k-I-tfmsS

tagvkn ]n.-B¿.

{]n≥kn-∏¬

Ub‰v tIm´bw

sh≈q¿

15/11/17

3

NuMATS D]-Pn-√m-Xe ]co£ 2017-2018amXrIm tNmZy-t]-∏¿ ˛ 1

`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:

Hmtcm tNmZy-Øn-s‚bpw DØcw Ipń-Iƒ IS-em-kn¬ Fgp-X-Ww. Cu IS-emkv hmßn

hbv°-Ww.

Hmtcm Ipń°pw Inńb BsI kvtIm¿ t_m¿Un¬ {]Z¿in-∏n-°-Ww. (ÿm-\-ßƒ

{]Jym]n-t°-≠-Xn-√).

1. 1 x 2 x 3 x 4 x ....... x 25. Cu KpW\ {Inbm-̂ -e-Øns‚ Ah-km\w F{X ]qPy-ßƒ D≠m-bn-cn°pw?

2. Nn{X-Øn¬ 5cm hi-ap≈ Hcp ka-N-Xp-csØ 1 cm hi-ap≈ sNdnbka-N-Xp-c-ß-fmb I≈n-I-fmbn Xncn-®n-cn-°p-∂p. F¶n¬ BsI F{X

ka-N-Xp-c-ß-fp-≠v?

3.39

1+

49

1 =

b

aBbm¬ a F{X?

4. Hcp Sm¶n¬ 3

1 `mKw sh≈-ap-≠v. 150 en‰¿ sh≈w Sm¶n-tebv°v Hgn-®-t∏mƒ Sm¶v ]IpXn

Bbn. F¶n¬ Sm¶n¬ F{X en‰¿ sh≈w sIm≈pw.

5.3

266 s‚ 69% F{X?

6. Hcp kvIqfnse 100 Ipń-I-fpsS icm-icn `mcw 60 In. {Kmw BÏp-ń-I-fpsS icm-icn `mcw 70In. s]Ïp-ń-I-fpsS icm-icn `mcw 50 In. {Kmw F¶n¬ BÏp-ń-I-fpsS FÆw F{X?

7. 600 cq]-bpsS Hcp kvIqƒ_mKv 20% hne Iqń-b-Xn-\p-tijw 20% hne Ipd-®m¬ Ct∏m-gsØhne F{X?

8.3

x = 7 Bbm¬

3

3x F{X?

9. Nn{X-Øn¬ ImWp∂ ka-N-Xp-c-Øns‚ ]c-∏-f-sh{X?

10. 0.909 ˛¬ \n∂v GXp kwJy Ipd-®m¬ 0.0909 In´pw.

x

3x – 2

4`mKw: _n

Ipdn∏v Xbm-dm-°pI

kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: ̀ n∂-ß-fpsS Xmc-Xayw

`mKw: kn

{]mtbm-KnI ]co£

GsX¶nepw Hcp tNmZy-Øn\v amXyw DØcw Fgp-Xp-I.

kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)

tNmZy-t]-∏-dn¬ ImWp∂ Nn{X-Øn¬ X∂n-cn-°p∂ AtX Af-hp-I-fn¬ Hcp Nn{Xw

Ipń-Iƒ hc-bv°-Ww / \n¿Ωn-°Ww CXn-\mbn Nn{Xw F√m Ipń-Ifpw ImW-Ø°

coXn-bn¬ {]Z¿in-∏n-°-Ww. Bh-iy-sa-¶n¬ Nm¿ v́ hc®v ImWn-°-Ww.

Nn{Xw hc-bv°p-∂-Xn\v / \n¿Ωn-°p-∂-Xn\v aptºm AXn\v tijtam hc-bv°p∂

coXn-sb-°p-dn®v Hcp hni-Zo-I-cW Ipdn∏v Ipń-Iƒ Xøm-dm-°-Ww. AXn-\p≈ \n¿tZiw

\¬I-Ww. CXv Hcp IS-em-kn¬ FgpXn hmß-Ww.

Nn{Xw hc-bv°p-∂-Xn\pw Af-hp-Iƒ Af-s∂-gp-Xp-∂-Xn\pw \n¿tZiw \¬I-Ww.

1. 12 sk.-ao. \ofhpw 3 sk.-ao. hoXn-bp-ap≈ Hcp NXpcw hc-bv°p-I. CXns‚ ]c-∏-f-hn\p Xpey-amb Hcp ka-N-Xpcw hc-bv°p-I. CXns‚ Np‰-fhp ImWp-I. hc-bv°p∂ hn[w Fgp-Xp-I.

2.

Nn{X-Øn-ep≈ hrØ-Øns‚ Bcw Is≠Øn Cu Nn{Xw hc-bv°p-I. ka-A-jvS-`p-P-Øns‚

Hcp hi-Øns‚ \ofw ImWp-I.

∠ABC bpsS Af-sh-{X. hc-bv°p∂ hn[w hni-Z-am-°p-I.

3. X∂n-cn-°p∂ amXr-I-bn¬ 12 sk.-ao. \ofw, 8 sk.-ao. hoXn, 6 sk. ao Db-c-hp-ap≈ Hcp NXp-c-]m{Xw \n¿Ωn-°p-I. CXns‚ D≈-fhv F{X? (am-XrI \¬I-Ww).

5`mKw: Un

{]iv\m-]-{K-Y\ tNmZy-ßƒ

kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:

GsX-¶nepw aq∂v tNmZy-ßƒ°mWv DØcw Fgp-tX-≠-Xv.

Ip´n DØ-c-Øn-se-Øn-t®¿∂ hgn DØc IS-em-kn¬ Fgp-tX-≠-Xm-Wv.

DØ-c-Øn-se-Øn-t®¿∂ Hmtcm L´hpw kq£va-ambn hne-bn-cpØn kvtIm¿ \¬tI-

≠-Xm-Wv.

1. 10 C∂nw-Kvkp-I-fn¬ k®ns‚ icm-icn d¨kv 53 BWv. ASpØ C∂nw-Kvkns‚ d¨kv IqSntN¿Øm¬ icm-icn 55 BIp-sa-¶n¬ Ah-km\ C∂nw-Kvkns‚ d¨kv F{X?

2. NXp-cm-Ir-Xn-bn-ep≈ Hcp tXm´-Øn\v Np‰pw then \n¿Ωn-°p-∂-Xn\v ao‰-dn\v 50 cq] \nc-

°n¬ 25000 cq] Nne-hmbn. hoXn-bpsS 2

11 aSßmWv \of-sa-¶n¬ hoXn-sb{X?

3. 3 ao‰¿ XpWn-bn¬ \n∂pw 51

m, 72

m, 52

m, 75

m hoXw XpWn apdn-s®-Sp-Øm¬ BsI apdn-s®-

SpØ XpWn-bpsS Af-sh{X? _m°n-sb{X?

4. Hcp ]co-£-bn¬ IW-°n\v 60% t]cpw Cw•o-jn\v 65% t]cpw ]mkm-bn. c≠n\pw tXm‰-h¿25%. F¶n¬ c≠n\pw Pbn-®-h¿ F{X?

6NuMATS D]-Pn-√m-Xe ]co£ 2017-2018

amXrIm tNmZy-t]-∏¿ ˛ 2

`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√).

1. 60 sk.-ao. Np‰-f-hp≈ Hcp NXp-c-sØ-ap-dn®v c≠v Xpey-k-a-N-Xp-c-ß-fm-°n. F¶n¬ Hcp ka-N-Xp-c-Øns‚ ]c-∏-fhv F{X?

2. ........10099..........

43

32

21

3. 5 ka-N-Xp-c-ßƒ tN¿Øp h® cq]-amWv Nn{X-Øn¬ Hmtcm ka-N-Xp-c-Øn-s‚bpw hi-ßƒ1cm, 2 cm, 3 cm, 4 cm, 5 cm F∂n-ß-s\-bm-Wv. Cu cq]-Øns‚ Np‰-fhv F{X?

4. 2 + 4 + 6 + 8 + ................. + 300 ̨ ¬ \n∂v 1 + 3 + 5 + 7 + .................+ 299 Ipd-®m¬ F{X?

5. 250 ˛¬ Ipd-hmb A`m-Py-kw-Jy-I-fpsS KpW-\-^-esØ 10 sIm≠v lcn-®m¬ injvSw F{X?

6. Hcp kwJy-bpsS 11 aS-ßn-t\mSv 11 Iq´n 11 sIm≠v lcn-®m¬ 11 In´pw. kwJy-tbXv?

7. Hcp NXp-c-Øns‚ \ofw x+y Dw hoXn ‘x’ Dw BWv. CXn¬ \n∂pw ]c-am-h[n hen-∏-ap≈ Hcpka-N-Xpcw apdn®p am‰n-bm¬ ti-jn-°p∂ `mK-Øns‚ ]c-∏-fhv F{X?

8. Hcp kwJy-bpsS 50% s‚ 40% 20 Bbm¬ kwJy-bpsS 20% F{X?

9. 04.08.0

= x04.0

Bbm¬ x F{X?

10. ABC Ch 3 hyXykvX A°-ß-fm-Wv.

ABC +

ABC +

ABC

CCC F¶n¬ A, B, C F∂n-h-bpsS hne?

1 cm 2 cm 3 cm 4 cm 5 cm

x

x + y

7`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: D≈-fhv

`mKw: kn

{]mtbm-KnI ]co£

GsX-¶nepw Hcp tNmZy-Øn\v DØcw Fgp-XpI.

kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. Xmsg sImSp-Øn-cn-°p∂ Nn{X-Øn¬ Np‰-fhv G‰hpw IqSp-X-emb {XntImWw GXv?AXns‚ Np‰-fhv F{X? Np‰-fhv G‰hpw Ipd-hmb {XntImWw GXv? Np‰-fhv F{X? ∠ABC,∠BCG, ∠EDF, F∂nh Af-s∂-gp-Xp-I.

8

2. 8 cm hi-a-D≈ Hcp ka-N-Xpcw hc®v AXns‚ 2

1,

4

1,

8

1 ̀ mK-ßƒ AS-bm-f-s∏-Sp-Øp-I.

2

1 ̀ mK-

Øn-s‚bpw 8

1 `mK-Øn-s‚bpw ]c-∏-fhv Is≠-Øp-I.

3.

Nn{X-Øn¬ X∂n-cn-°p∂ amXr-I-bn¬ Hcp Nn{Xw Nm¿ v́ t]∏-dn¬ hc-bv°p-I. Nn{Xw hcbv°pw

ap≥]v hc-bv°p∂ coXn-sb-°p-dn®v hni-Zo-I-c-W-°p-dn∏v Xøm-dm-°-Ww. CXv shń-sb-SpØv

Hcp Pyman-Xo-b-cq]w \n¿Ωn-°p-I.

`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

1. Hcp hym]mcn c≠p hm®p-Iƒ 2400 cq]-h®v hn‰p. H∂n¬ 20% em`hpw at‰-Xn¬ 20% \jvShpwD≠m-bn. F¶n¬ BsI em`w / \jvSw F{X?

2. 5 Ipń-I-fpsS IW-°n\v e`n® icm-icn am¿°v 88. 100 am¿°v Inńb Hcp Ipń t]mbn as‰mcpIpń h∂-t∏mƒ icm-icn 2 Ipd-™p. ]pXp-Xmbn h∂ Ipńbv°v IW-°n\v F{X am¿°m-Wp-

≈Xv?

3. 3 . 90 ao‰¿ \ofhpw 2.6 ao‰¿ hoXn-bp-ap≈ Hcp apdn-bn¬ Xd-bn¬ ssS¬ ]mIWw. ka-N-Xp-cm-Ir-Xn-bn-ep≈ ssSemWv ]mIp-∂Xv F¶n¬ ssSens‚ G‰hpw IqSnb hen∏w F{X? FÆw

F{X?

4. 10 ao‰¿ hi-ap≈ ka-N-Xp-cm-Ir-Xn-bn-ep≈ Hcp tπmń-\p-Np‰pw 2 ao‰¿ hoXn-bn¬ \S-∏mX\n¿Ωn-°-Ww. CXns‚ ]c-∏-fhv F{X? NXp-c-{i-ao-‰-dn\v 150 cq-]-h®v F¥v Nnehv hcpw?

9

NuMATS D]-Pn-√m-Xe ]co£ 2017-2018amXrIm tNmZy-t]-∏¿ ˛ 3

`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√).

1. Hcp kwJy-bpsS 50% s‚ 50%, 50 Bbm¬ kwJy GXv?

2. 884884 ÷ 884 F{X?

3. 3.5 ao. \of-ap≈ Hcp Iºn-bn¬ \n∂pw 65 sk.-ao. \of-ap≈ Hcp IjWw apdn-®p-am-‰n-bm¬tijn-°p∂ `mK-Øns‚ \ofw F{X?

4. 10001

-s‚ Zimw-i-cq]w GXv?

5. Hcp kwJy-bpsS 10 aS-ßn-t\mSv 10 Iq´n 10 sIm≠v lcn-®m¬ 10 In´pw. F¶n¬ kwJy GXv?

6. t¢m°n¬ kabw 5.30 BIp-tºmƒ an\n´v kqNnbpw aWn-°q¿ kqNnbpw XΩn-ep≈ tImW-fhv F{X?

7. tZiob KWn-X-im-kv{X-Zn\w GXv Znhkw?

8.

Nn{X-Øn¬ ∠BCD = X Bbm¬ ∠ACD F{X?

9. Im¬°p-te-‰-dnse A°-ß-fpsS Kp-W-\-^ew F{X?

10.4

1 +

4

1 +

4

1+

4

1+

4

1 = 1+ x Bbm¬ x F{X?

`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 15

hnjbw: icm-i-cn-bpsS icnbpw sX‰pw

10`mKw: kn

{]mtbm-KnI ]co£

GsX¶nepw Hcp tNmZy-Øn\v am{Xw DØcw Fgp-Xp-I.

kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. t¢m°v hc-bv°p-∂-Xn-\p≈ Ipdn∏v Xøm-dm°n tIm¨ Af-s∂-gp-Xp-I.

2. ∠AXC = ∠DXE, ∠AXE=70o as‰√m tImWp-I-fp-sSbpw Af-hp-Iƒ Af-s∂-gp-Xp-I.

3. \n¿Ωn-°¬

10 cm hi-ap≈ ka-N-Xp-c-s∏ń \n¿Ωn-°p-I.

(k-a-N-Xp-c-s∏ń Ipń-Isf ImWn-°p-∂p. AXv Xpd∂ cq]hpw ImWn-°p-∂p.)

C

11`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

1. 21

10 In. {Kmw ]©-kmc 52

In. {Kmw hoX-ap≈ Ih-dp-I-fn-em°nbm¬ F{X Ih¿ th≠n

hcpw? _m°n F{X In. {Kmw ]©-km-c-bp-≠mIpw?

2. Hcp Bip-]-{Xn-bn¬ 2 jn^v‰p-I-fn-embn 25 \gvkp-am¿ tPmen sNøp-∂p. cmhn-esØ jn^v‰n¬15 t\gvkp-amcpw cm{Xn 10 t]cpw cm{Xn jn^v‰n¬ tPmen sNøp-∂p. BZy jn^v‰nse 15 t]sc

]cn-K-Wn-®m¬ Ah-cpsS Hcm-fpsS Hcp Znh-ksØ icm-icn thX\w 600 cq]-bm-Wv. F¶n¬

15 t]cpsS BsI-th-X\w F{X? cm{Xn jn^v‰nse Bfp-I-fpsS BsI iºfw 10000 cq]

Bbm¬ icm-icn iºfw F{X? 2 jn^v‰n-tebpw IqSn \gvkp-am-cpsS icm-icn iºfw F{X?

3.

∠POR = ∠QOS Bbm¬ ∠ROS s‚ Af-sh{X? ∠QOT bpsS Af-sh{X? ∠POT F{X? ImcWwFgp-Xp-I.

4. 225 s\ A`mPy LS-I-ß-fm-°p-I. 225 \v F{X LS-I-ß-fp-≠v.

s

P

T

OQ

R

50o

12NuMATS D]-Pn-√m-Xe ]co£ 2017-2018


`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√).

1. 0, 1, 2, 3, 5 F∂o A°-ßƒ Bh¿Øn-°msX D]-tbm-Kn®v 6˛s‚ KpWn-X-ß-fmb F{X A©°kwJy-Iƒ D≠m°mw?

2. A°-ßƒ hyXy-kvX-ß-fmb \me-°-kw-Jy-I-fn¬ G‰hpw hepXpw sNdpXpw XΩn-ep≈hyXymksa¥v?

3. ap°m¬en-‰¿ sh≈-Øns‚ ]Ip-Xnbpw Ac-en-‰¿ sh≈-Øns‚ ap°m¬ ̀ mKhpw Hcp Hgn™]m{X-Øn-te°v Hgn-®m¬ ]m{X-Øn¬ BsI F{X en‰¿ sh≈w D≠mIpw?

4. A°-ß-sf√mw hyXykvX A`m-Py-kw-Jy-I-fmb F{X \me° kwJy-Iƒ D≠v?

5. Hcp tcJob tPmSn-bnse tImWp-I-fn¬ sNdp-Xns‚ 5 aS-ßmWv hepXv F¶n¬ henbtImWns‚- A-fhv F{X?

6. 7 kwJy-I-fpsS icm-icn 11 BWv. Hcp kwJy IqSn tN¿Ø-t∏mgpw icm-icn 11 Xs∂ ¶n¬Iq´nb kwJy GXv?

7. 1 apX¬ 50 hscbp≈ kwJy-Iƒ Fgp-Xn-bm¬ F{X 3 Iƒ D≠mIpw?

8. Hcp NXp-c-°-´-bpsS `mcw AXns‚ `mc-Øns‚ 5

3 `mK-Øn-t\-°mƒ 800 {Kmw IqSp-X-em-Wv.

F¶n¬ N-Xp-c-°-´-bpsS `mcw F{X Intem{Kmw Bbn-cn°pw?

9. 3.50 t\mSv F{X Iq´n-bm¬ 4.05 In´pw?

10. Nn{X-Ønse ka-`p-P-{Xn-tIm-W-Øn¬ sjbvUv sNbvX `mK-Øn\vXpey-amb `n∂w GXv?

13`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: icm-icn D]-tbm-Kn-°p∂ hnhn[ kμ¿ -̀ßƒ

`mKw: kn

{]mtbm-KnI ]co£


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. a) X∂n-cn-°p∂ Nn{Xw hc-bv°p∂Xn\m-h-iy-amb Ipdn∏v Xbm-dm-°p-I.

b) Nn{X-Ønse {XntImWw OAB bpsS a‰v c≠v tImWp-Iƒ Af-s∂-gp-Xp-I.

c) G, C F∂nh tbmPn-∏n-®m¬ In´p∂ hc-bpsS {]tXy-IX F¥mWv? GsX√mw _nμp-°ƒtbmPn-∏n-®m¬ Cu {]tXy-I-X-bp≈ hc-Iƒ In´pw?

142. Hmtcm Ipń°pw \evIn-bn-cn-°p∂ ss]∏ns‚ ]pdw-`mKw h¿Æ-°-S-emkv Hń-°p-∂-Xn\v Bh-

iyamb NXp-cm-Ir-Xn-bmb IS-em-kns‚ \ofhpw hoXnbpw Af-s∂-gpXn ]c-∏-fhv Is≠-ØpI.

3. Hcp ka-N-Xpc kvXw`w \n¿Ωn-°p-I. kvXw`-Ønse h°p-I-fpsS FÆw F{X? aqe-Iƒ, apJ-ßƒ F∂n-h-bpsS FÆhpw Is≠-Øp-I. (amXrI \¬I-Ww).

`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

1. hrØm-Ir-Xn-bn-ep≈ Htc hen-∏-ap≈ c≠v ]nk-I-fn¬ H∂ns\ Htc hen-∏-ap≈ 5 Ij-W-ß-fm°n c≠m-a-tØ-Xns\ Htc hen-∏-ap≈ 8 Ij-W-ß-fm-°n. Nn°p Hmtcm ]nk-bn¬ \n∂pw

Hmtcm IjWw hoXw FSp-Øp. Cu c≠v Ij-W-ßfpw IqSn Nn°p-hns‚ Iøn¬ ]nk-bpsS

F{X-`m-K-amWv D≈Xv?

2. Hcp kvIqfnse 6˛mw ¢mkn¬ 25 BÏp-ń-Ifpw 20 s]Ïp-ń-I-fp-am-Wp-≈-Xv. BÏp-ń-I-fpsS icm-icn Dbcw 91 sk.-ao. Dw s]Ïp-ń-I-fp-tSXv 66 sk.-ao. Dw BWv. 67 sk.-ao. Db-

c-ap≈ Hcp BÏp-ńbpw 85 sk.-ao. Db-c-ap≈ Hcp s]Ïp-ńbpw ‰n.-kn. hmßn as‰mcp

kvIqfn-te°v t]mbn. F¶n¬ BÏp-ń-I-fp-sSbpw s]Ïp-ń-I-fp-sSbpw Ct∏m-gsØ icm-

icn Dbcw F{X?

3. Iyq_ns‚ BIr-Xn-bn-ep≈ Hcp ]m{Xw D]-tbm-Kn®v AtX BIr-Xn-bn-ep≈ as‰mcp ]m{X-Øn-te°v sh≈w Hgn-°p-∂p. sNdnb ]m{X-Øns‚ hi-Øns‚ \of-Øns‚ 4 aS-ßmWv henb

]m{X-Øns‚ hiw. F{X XhW sh≈w Hgn-®m¬ ]m{Xw \ndbpw?

4.

Nn{X-Øn¬ PQRS Hcp ka-N-Xp-c-am-Wv. P hrØ-Øns‚ tI{μ-hp-am-Wv. ka-N-Xp-c-Øns‚ Hcphi-Øn\v 10 sk.-ao. \of-ap-≠v. sjbvUv sNbvX ̀ mK-Øns‚ ]c-∏-fhv ka-N-Xp-c-Øns‚ ]c-∏-

f-hns‚ 5

1 `mK-am-Wv. hrØ-Øns‚ ]c-∏-fhv F{X?

S

R Q

P

15

NuMATS D]-Pn-√m-Xe ]co£ 2017-˛2018amXrIm tNmZy-t]-∏¿-- ˛ 5

`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√)

1. 7.5 (22.36 + 6427

) – (36.57 + 3.43) F{X?

2. c≠p `n∂-kw-Jy-I-fpsS hyXymkw 1583 BWv. AXn¬ henb kwJy

15

811

Bbm¬ sNdnb

kwJy F{X?

3. Hcp ka-N-Xp-c-Øns‚ Np‰-fhv 100 sk.-ao. BWv. F¶n¬ AXns‚ Cc-´n-h-i-ap≈ ka-N-Xp-c-Øns‚ hnkvXo¿Ww F{X?

4. Hcp Iº\n AXns‚ em`-Øns‚ 416 Hmlcn DS-a-Iƒ°v hoXn®p \¬Im≥ Xocp-am-\n-®p.

Cßs\ 8 e£w hoXn®p \¬In F¶n¬ Iº-\n-bpsS em`w F{X?

5. \mep-t]-cpsS icm-icn hbkv 20 BWv. A©m-a-sXm-cmƒ IqSn tN¿∂-t∏mƒ icm-icn hb v19 Bbn. A©m-asØ BfpsS hb v F{X?

6. c≠p kwJy-I-fpsS icm-icn 9.5. Ah XΩn-ep≈ hyXym-khpw 9.5 Bbm¬ CXn¬ sNdnbkwJy GXv?

7. 1 - ( 21

+ 41

+ 81

+ 161

+ 321

)F{X?

8. Hcp tcJob tPmSn-bnse henb tIm¨ sNdnb tImWns‚ 3 Cc-´n-tb-°mƒ 20 IqSp-X-em-Wv.henb tImWns‚ Af-sh{X?

9. XpS¿®-bmb 5 FÆ¬ kwJy-I-fpsS XpI 100 F¶n¬ G‰hpw henb kwJy GXv?

10. Hcp t]mse-bp≈ c≠v tI°p-I-fn¬ cmap BZysØ tI°ns‚ 31

˛s‚ 42

`mKhpw cmPp

62

˛s‚ 21

`mKhpw FSp-Øp. B¿°mWv IqSp-X¬ tI°v e`n-®Xv?

16`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: Zimw-i-kw-Jy-Iƒ

`mKw: kn

{]mtbm-KnI ]co£


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. a) X∂n-cn-°p∂ Nn{Xw hc-bv°p-I.

b) ka-N-Xp-c-Øns‚ Hcp-h-i-Øns‚ \ofw F{X? AXns‚ ]c-∏-fhv Is≠-Øp-I.

2. s{]m{Sm-IvS¿ \n¿Ωn-°p-I.

a) s{]m{Sm-IvS¿ \n¿ΩmW coXn-sb-°p-dn®v Ipdn∏v Fgp-Xp-I.

3. X∂n-cn-°p∂ NXp-c-kvXw-`-Øns‚ Db-cw, \ofw, hoXn F∂nh Af∂v Fgp-XpI? (amXrI\¬I-Ww.)

17`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

1. 51 ao‰¿ \of-ap≈ Hcp dn_¨ kzmX-{¥y-Zn-\m-tLm-j-Øns‚ dmen-tbm-S-\p-_-‘n®v kvIqfn¬hmßn. Hmtcm Ip´n°pw 65 sk.-ao. hoXw apdn-®p-\¬In. F{X sk‚n-ao-‰¿ dn_¨ an®w hcpw?

2. 12 ao‰¿ \of-ap≈ Hcp NcSv 512 ao‰¿ \of-ap≈ IjvW-ß-fm-°n-bm¬ an®w hcp∂ IjvW-

Øns‚ \ofw F{X sk.ao?

3. Hcp kwJy-bpsS 41

s‚ 51

= 61

Bbm¬ kwJy F{X?

4. Hcp ka-N-Xp-csØ Xpey-h-en-∏-ap≈ Ipsd ka-N-Xp-c-ß-fmbn `mKn-®n-´p-≠v. Ch-bn¬ 43

`mK-

Øn\v \ndw sImSp-°m≥ Xocp-am-\n-®p. AXns‚ 31

`mKw FÆ-Øn\v \ndw \¬In Ign-™-

t∏mƒ \ndw \¬ImØ BsI 30 ka-N-Xp-c-ßƒ D≠v F¶n¬ BsI ka-N-Xp-c-ß-fpsS

FÆw F{X?

18NuMATS D]-Pn-√m-Xe ]co£ 2017-˛2018


`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√)

1. tX\-d-I-fpsS BIrXn F¥v?

2. Hcp {Kma-Ønse P\-kwJy 4000 Bbn-cp-∂p. 10 h¿jw sIm≠v P\-kwJy 7000 Bbn. F¶n¬P\-kwJym h¿≤-\-hns‚ iX-am\w F{X?

3. 5 sk°‚ v Hcp aWn-°q-dns‚ F{X `mKw?

4. 0.99 t\mSv F{X Iq´n-bm¬ H∂p-In´pw?

5. 1001 s‚ H∂v Hgn-sI-bp≈ Hc-°-kw-Jy-bmb Hcp LS-Iw.

6. 5 In.{Kmw B∏n-fns‚ 4/5 `mKw BZy Znhkw D]-tbm-Kn-®p. _m°n-bp-≈-Xns‚ 1/2 `mKwc≠mw Znhkw D]-tbm-Kn®p an®-ap≈ B∏n-fns‚ Af-sh{X?

7. 1 apX¬ 99 hsc-bp≈ H‰-kw-Jy-I-fpsS XpI F{X?

8. Hcp t¢m°v Hcp aWn-bm-Ip-tºmƒ Hcp aWn, 2 aWn°v 2 aWn F∂ coXn-bn¬ s_¬ apg-°p∂p. F¶n¬ 24 aWn-°q-dm-Ip-tºmƒ F{X aWn i_vZ-ßƒ tIƒ°pw?

9. hi-Øns‚ \ofw 10 sk. ao. D≈ Hcp ka-N-Xp-c-Øns‚ Hcp aqe-bn¬ \n∂v hi-Øn\v 2 sk.-ao. \of-ap≈ Hcp ka-N-Xpcw sh´n am‰n. Ah-ti-jn-°p∂ cq]-Øns‚ Np‰-fhv F{X?

10. 0 apX¬ 99 hsc-bp≈ kwJy-Iƒ Fgp-Xp-tºmƒ G‰hpw Ipd-®p-X-hW Fgp-Xp∂ A°wGXv?

`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: ̀ mPy-kw-Jy-Ifpw A`m-Py-kw-Jy-Ifpw

19`mKw: kn

{]mtbm-KnI ]co£


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. Xmsg sImSp-Øn-cn-°p∂ Nn{Xw hc-bv°p-I. ka-N-Xp-c-Øns‚ Hcphi-Øns‚ \ofw F¥v?

AXns‚ ]c-∏-fhv Is≠-Øp-I.

2. X∂n-cn-°p∂ Nn{X-Ønse tImWp-Iƒ Af-s∂-gp-Xp-I.

3. 5 sk.-ao. hi-ß-fp≈ Hcp ka-N-Xp-c-s∏´n \n¿Ωn-°p-∂-sX-ßs\? A\p-tbm-Py-amb kma-

{Kn-I-fp-]-tbm-Kn®v ka-N-Xp-c-s∏´n \n¿Ωn-°pI? AXns‚ D≈-fhv ImWpI?

20`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

1. \ofw 15 ao‰dpw Dbcw 8 ao‰dpw I\w 20 sk.-ao. Dw D≈ Hcp `nØn \n¿Ωn-°m≥ 30 sk.ao X10 sk.-ao. X 5 sk.-ao. Af-hp≈ F{X CjvSnI thWw?

2. 8 kwJy-I-fpsS icm-icn 40 BWv. CXn¬ BZysØ c≠v kwJy-I-fpsS icm-icn 15.5 BWv.

ASpØ aq∂v kwJy-I-fpsS icm-icn 364

BWv. ASpØ kwJy-I-fpsS icm-icn F{X?

3. hnP-b-]pcw kvIqfn¬ ]Tn-°p∂ Ipń-I-fn¬ 40% t]¿ kvIqƒ _kn-emWv hcp-∂-Xv. _m°n

Ipń-I-fn¬ 90 t]¿ ssk°n-fn¬ hcp-∂p. ssk°n-fn¬ FØp-∂-h-cpsS 31

`mKw Im¬\-S-

bmbn kvIqfn¬ FØp-∂p. kvIqfn¬ BsI- F{X Ipń-Iƒ ]Tn-°p-∂p.

4. 5,6,7 F∂o ¢m p-I-fnse Ipń-Isf kvIqƒ {Ku≠n¬ \ncØn \n¿Øn-bn-cn-°p-∂p. 5-˛mw¢m n¬ 48 Dw 6˛mw ¢m n¬ 40 Dw 7˛mw ¢m n¬ 32 Dw Ipń-I-fm-Wp-≈-Xv. Hmtcm ¢m n-

s‚bpw hcn-I-fp-sSbpw FÆw hyXy-kvX-am-sW-¶nepw Hmtcm hcn-bnepw \n¿Øn-bn-cn-°p∂

Ipń-I-fpsS FÆw Xpey-am-Wv. Hcp hcn-bn¬ F{X Ipń-I-fp≠v?

21

NuMATS D]-Pn-√m-Xe ]co£ 2017-˛2018amXrIm tNmZy-t]-∏¿ ˛ 7

`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√)

1. Hcp kwJy-bpsS 40% s‚ 40% 40 Bbm¬ kwJy GXv?

2. 231

˛s‚ 221

aSßv F{X?

3. 0.1 s\ F{X sIm≠v lcn-®m¬ 0.001 In´pw?

4. Hcp t¢m°nse kabw 3.40 Bbm¬ aWn-°q¿ kqNn°pw an\n‰v kqNn°pw CS-bn-ep≈tImW-fhv F{X?

5. 1872453 F∂ kwJysb 9 sIm≠p lcn-®m¬ injvSw F{X?

6. AΩp, 5, 15, 25, 35 F∂n-ßs\ FÆm≥ XpS-ßn. 500 \p Xmsg CØcw F{X kwJy-I-fp-≠v.

7. 53

˛s‚ kam-\-`n∂w Fgp-Xn-b-t∏mƒ tOZhpw Awihpw XΩn¬ 18s‚ hyXym-k-ap-≈-Xmbn

I≠p. `n∂-taXv?

8. 2 L\-ao-‰¿ = .............. en‰¿.

9. 5, 5, 5, 5, 5 F∂o A©v kwJy-I-fpsS hyp¬{I-a-ß-fpsS XpI-sb{X?

10. c≠v `n∂-ß-fpsS KpW-\-^ew 539 BWv. Ah-bn¬ Hcp `n∂w 5

26 BsW-¶n¬ c≠m-a-

tØXv GXv?

`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

Ipdn∏v Xøm-dm-°pI: NXp-c-Øns‚ Np‰-fhpw ]c-∏-fhpw.

22`mKw: kn

{]mtbm-KnI ]co£


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. Nn{X-Øn¬ ImWp∂ ]mt‰¨ hc-bv°p-I. AIsØ hrØ-Øn-s‚bpw ]pdsØ hrØ-Øn-s‚bpw Bcw Af-s∂-gp-Xp-I.

2. 6 sk.-ao. hi-ap≈ Hcp Iyq_v \n¿Ωn-°p-I.

Iyq_n\v F{X h°p-I-fp≠v? F{X apJ-ß-fp≠v? (Hcp Iyq_v Ip´n-Isf ImWn-°p-∂p.)

3. ]co-£-I¿ \¬Ip∂ Pyman-Xob cq]-ß-fpsS F√m tImWp-I-fp-sSbpw Afhv I≠p-]n-Sn-°p-I.(hyXykvX tImWp-Iƒ hcp∂ Pyman-Xob cq]-ßƒ Nm¿´v t]∏-dn¬ hc®p \¬I-Ww).

23`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

1. Htc Af-hn-ep≈ c≠v Sm¶v. H∂m-a-tØ-Xn¬ 20% sh≈w D≠v. c≠m-a-tØ-Xn¬ 40% Hgn™pInS-°p-∂p. c≠m-a-tØ-Xn¬ H∂-a-tØ-Xn-s\-°mƒ 80 en‰¿ sh≈w IqSp-X-ep-≠v. Sm¶ns‚

D≈-fhv F{X?

2. Hcp kvIqfnse 12 A[ym-]-I-cpsS icm-icn {]mbw 35 hbkv BWv. Ah-cn¬ \n∂v 52 hb- p≈ Hcmƒ t]mIp-Ibpw 28 hb- p≈ Hcmƒ hcn-Ibpw sNbvXm¬ C-t∏m-gp≈ A[ym-]-I-

cpsS icm-icn {]mbw F{X?

3. 12 sk.-ao. hi-ap≈ ka-N-Xp-cm-Ir-Xn-bmb Hcp IS-em-kns‚ 4 aqe-I-fn¬ \n∂pw 2 sk.-ao. hi-ap≈ ka-N-Xp-c-ßƒ apdn®p am‰p-∂p. Cu cq]-Øns‚ 4 hihpw 2 sk. ao. Db¿Øn aS-°m-a-

s√m. Ct∏mƒ e`n® NXp-c-]m-{X-Øns‚ D≈-fhv F{X?

4. Xmsg sImSp-Øn-cn-°p∂ Nn{X-Øns‚ Np‰-fhpw ]c-∏-fhpw ImWp-I.

2 cm

24NuMATS D]-Pn-√m-Xe ]co£ 2017-˛2018


`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√).

1. Hcp A°sØ kqNn-∏n-®m¬ 34*25 F∂ kwJysb 4 sIm≠v lcn-®m¬ In´p∂ injvSwF{X?

2. 10001001081 zyx

Bbm¬ xyz F{X?

3. 1mm = ........... m

4. XpS¿®-bmb BZy 50 Cc-´-kw-Jy-I-fpsS icm-icn F{X?

5. 457.253 F∂ kwJy-bn¬ 5 s‚ ÿm\-hn-e-I-fpsS KpW-\-êw F{X?

6. 2 bqWn‰v hi-ap≈ Iyq_m-Ir-Xn-bmb Hcp ]m{X-Øn¬ 1 bqWn‰v hi-ap≈ Iyq_m-Ir-Xn-bmbHcp ]m{X-ap-]-tbm-Kn®v sh≈w Hgn-®m¬ F{X Xh-W-sIm≠v ]m{Xw \ndbpw?

7. 11/2 In. {Kmw ]©-km-cbv°v 51 cq] hne-bm-sW-¶n¬ 21/2 In.{Kmw ]©-km-c-bpsS hne F{X?

8. 743743743

F{X?

9. A\p-hns‚ P∑-Zn-\-Øn\v Hcp tI°v hmßn. AXns\ 4 Xpey-`m-K-ß-fmbn apdn®v Hmtcm-cp-Ø¿°pw Hmtcm `mKw \¬In. F∂m¬, A—≥ X\n°v Inńb `mKØns‚ ]IpXn IqSn

A\p-hn\v \¬In. F¶n¬ A\p-hn\v BsI Inń-bXv tI°ns‚ F{X `mKw?

10. (20-1) (20-2) (20-3) .................. (20-20) F{X?

`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: Zimw-i-kw-Jy-Iƒ

25`mKw: kn

{]mtbm-KnI ]co£


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. apIfn¬ X∂n-cn-°p∂ Pyman-Xob cq]w hc-bv°p-I.

2. {^m£≥ UnkvIv \n¿Ωn-°p-I. hrØ-ßsf bYm-{Iaw 2,3,4,5 F∂o Xpey `mK-ß-fm°n D≈{^m£≥ UnkvIv \n¿Ωn-°pI.

3. \¬In-bn-´p≈ Pyman-Xn-s∏-´n-bpsS D≈-fhv, hi-ßƒ Af∂v I≠p-]n-Sn-°p-I.

26`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

1. cmap Xs‚ `qkz-Øns‚ 2/6 `mKw aI\pw 3/6 `mKw aIƒ°pw _m°n `mKw Xs‚ t]cnepw\ne-\n¿Øn-bmWv kzØv `mKw sh®-Xv. Abm-fpsS Hml-cn-bmbn In´n-bXv 30 sk‚ v `qan-bm-

sW-¶n¬ F{X sk‚ v `qan-bmWv Abmƒ°v D≠m-bn-cp-∂-Xv. aI\pw aIƒ°pw F{X sk‚ v

`qan hoXw In´n?

2. 3 ao. \ofhpw 2 ao. hoXnbpw 1 ao‰¿ Db-c-hp-ap≈ NXp-cm-Ir-Xn-bmb Hcp Sm¶n¬ 4500 en‰¿sh≈-ap-s≠-¶n¬ Pe-\n-c-∏ns‚ Dbcw F{X?

3.

Nn{X-Øn¬ x,y,z F∂o tImW-f-hp-Iƒ ImWp-I.

4. 5 In.{Kmw ]©-kmc 2/5, 1/10, 1/5, 1/4 hoXw `mK-ß-fm°n \mev k©n-I-fn-em-°n-b-t∏mƒ_m°n-h∂ ]©-km-c-bpsS Afhv BsI-bp≈Xns‚ F{X `mK-am-Wv.

90

x

y 150

z

27


`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√)

1. A°-ßƒ c≠pw hyXy-kvX-amb F{X c≠-°-kw-Jy-Iƒ D≠v?

2. 1 apX¬ 20 hsc-bp≈ FÆ¬ kwJy-I-fpsS icm-icn F{X?

3. Hcp kwJysb 4 sIm≠p-Kp-Wn-°p-∂-Xn\p ]Icw 4 sIm≠p lcn-®m¬ 16 Inń. F∂m¬ BkwJysb 4 sIm≠v KpWn-®m¬ F{X?

4. Hcp Ipf-Øn¬ Hmtcm Znh-khpw hncn-bp-∂-Xns‚ Ccń ]q°ƒ ASpØ Znhkw hncn-bpw. 5Znhkw sIm≠v Ipf-Øns‚ ]IpXn \nd-™p. F∂m¬ Ipfw \nd-bm¬ F{X Znhkw thWw.

5. XpS¿®-bmb 9 FÆ¬ kwJy-I-fpsS XpI 270 Bbm¬ A©m-asØ kwJy GXv?

6. AΩp-hns‚ ssIbnse Ãmºp-tiJ-c-Øn¬ 31

`mKw C¥y≥ Ãmºp-I-fm-Wv. Ah-fpsS ssI-

bn¬ 36 C¥y≥ Ãmºp-Iƒ Ds≠-¶n¬ BsI F{X Ãmºp-Iƒ D≠m-bn-cp∂p?

7. Hcp t]\°pw _p°n\pw IqSn 60 cq]-bm-bn, _p°n\v t]\-tb-°mƒ 30 cq] IqSp-X-em-sW-¶n¬ t]\-bpsS hne F¥v?

8. Hcp I®-h-S-°m-c≥ Hcp tai-bpsS hne 10% Iqń-b-Xn-\p-tijw 10% UnkvIu≠v A\p-h-Zn®vhn‰m¬ em`tam \jvStam F{X iX-am\w?

9.

Nn{X-Øn¬ ∠ECD = 30o a‰v c≠v tImWp-Iƒ Xpey-am-bm¬ Hmtcm-∂n-s‚bpw Af-sh{X?

10.

Nn{X-Øn¬ F{X {XntIm-W-ßƒ D≠v?

A BC

DE

30

28`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: `n∂-kw-JyIƒ

`mKw: kn

{]mtbm-KnI ]co£


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. Ipdn∏v Xøm-dm°n Nn{X-Øn¬ ImWp∂ ]mt‰¨ hc-°p-I.

292.

Nn{X-Øn¬ ImWp∂ cq]-Øn¬ s]≥Ãm‚ v D≠m-°p-I. Ipdn-s∏-gp-Xp-I.

3. Im¿Uv t_m¿Up-sIm-≠p-≠m-°nb NXp-cm-Ir-Xn-bn-ep≈ Hcp s]ń sImSp-°p-∂p. AXn¬\nd-bv°m-hp∂ aW-ens‚ Afhv F{X L\: sk.-ao. F∂v I≠p-]n-Sn-°pI?

`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

1. 42 sk.-ao. 24 sk.-ao., 18 sk.-ao. hoXw bYm-{Iaw \ofw, hoXn, s]m°w D≈ Hcp NXp-c-s∏ńHtc hen-∏-ap≈ ka-N-Xp-c-°-´-IƒsIm≠v \nd-bv°-Ww. AIØv iq\y-ÿew hcm-sXbpw

s]ń Ihn™v \n¬°m-sXbpw CXv sNø-Ww. CXn-\p-]-tbm-Kn-°m-hp∂ ka-N-Xp-c-°-´-I-fpsS

FÆw F{X?

2. cmPphpw kmPphpw I®-h-S-°m-cmWv. cmPp Xs‚ ]°-ep≈ km[-\-ßƒ apS-°p-ap-X-ens‚ 5%em`-Øn\p hn‰-t∏mƒ Inńb em`w 200 cq]-bm-Wv.

kmPp Xs‚ ]°-ep≈ km[-\-ßƒ apS-°p-ap-X-ens‚ 4% em`-Øn\p hn‰-t∏mƒ Abmƒ°p

Inńb em`hpw CtX XpI-bm-Wv.

Ch¿ km[-\-ßƒ hmßn-bXv chn F∂ hym]m-cn-bpsS ]°¬ \n∂m-Wv. chn, hn¬∏-\-hn-e-

bpsS 20% em`-Øn-\mWv km[-\-ßƒ hn¬°p-∂-Xv. F¶n¬ chnsb kw_-‘n-®n-S-tØmfw

cmPp-hn\pw kmPp-hn-\p-ambn hn‰ km[-\-ß-fpsS apS-°p-ap-X¬ F{X?

3. 10 sk.-ao. 6 sk.-ao. 4 sk.-ao. hoXw bYm-{Iaw \ofw, hoXn, Dbcw D≈ Hcp NXp-c-°-´-bpsSHcp aqe-bn¬ \n∂v 3 sk.ao. hoXw hi-ß-fp≈ Hcp ka-N-Xp-c-°´ apdn®p am‰n-bm¬ Ah-ti-

jn-°p∂ cq]-Øns‚ D]-cn-X-e-Øns‚ BsI ]c-∏-fhv F{X?

4. Hcp lmfn¬ 1500 Bfp-I-fp-≠v. AXn¬ 54

Ipń-I-fm-Wv. Ipń-I-fn¬ 32

`mKw s]Ïp-ń-Ifpw

_m°n BÏp-́ n-I-fpw. BÏp-́ n-I-fpsS FÆ-Øns‚ 81

`mKw A[ym-]-I-cm-Wv. F¶n¬ Ipń-

Ifpw A[ym-]-Icpw A√msX F{X-t]¿ lmfn-ep-≠v.

30

NUMATS D]-Pn-√m-Xe ]co£ 2017-˛2018amXrIm tNmZy-t]-∏¿ ˛ 10

`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√)

1. XpS¿®-bmb 5 FÆ¬kw-Jy-I-fpsS XpI 50 BWv. kwJy-I-fpsS icm-icn 10 Bbm¬ kwJy-Iƒ Gh?

2. Hcp NXp-c-Øns‚ ]c-∏-fhv 1/2 NXp-c-{i-ao-‰¿. Hcp hi-Øns‚ \ofw 3/4 ao‰¿. at‰-h-i-Øns‚\ofw F¥mWv?

3. Hcp ka-N-Xp-c-°´ 64 sNdnb ka-N-Xpc I´-Iƒ tN¿Øp-≠m-°n-b-Xm-Wv. AXns‚ F√m aqe-bn¬ \n∂pw Hmtcm I´-hoXw am‰n-bm¬ _m°n F{X I´-I-fp-≠m-bn-cn°pw?

4. 1 en‰¿ Af-hp≈ Hcp ]m{X-Øn¬ \ndsb sh≈-ap-≠v. AXn¬ 1 sk.-ao. hi-ap≈ 10 ka-N-Xp-c°´-Iƒ C´m¬ F{X sh≈w ]pd-tØ°v HgpIpw? ]m{X-Øn¬ an®-ap≈ sh≈-Øns‚

Af-hv F{X?

5. 5 Intem-ao-‰¿ 5 ao‰-dns\ Intem-ao-‰-dn-te°v am‰n Fgp-XpI.

6. 12 aWn 20 an\n‰v F∂v t¢m°n¬ ImWn-°p-tºmƒ aWn-°q¿ kqNnbv°pw an\n‰v kqNnbv°pwCS-bn-ep≈ tIm¨ F{X Un{Kn-bn-em-bn-cn°pw?

7. 86x50 +14x50 = ................

8. 213 s\ F{XsIm≠v KpWn-®m¬ 1 In´pw?

9. Hcp NXp-c-Øns‚ Np‰-fhv 24 sk.-ao. BWv. F¶n¬ B NXp-c-Øn\vsd ]c-am-h[n ]c-∏-fhvF{X?

10. 3 en‰-dns‚ \men-sem∂p `mKhpw 41

en‰-dns‚ 3 aSßpw XΩn-ep≈ _‘w F¥v?

`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: `n∂-kw-Jy-bn¬ \n∂pw Zimw-i-kw-Jy-bn-te-°p≈ bm{X.

31`mKw: kn

{]mtbm-KnI ]co£


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. Nn{XØn¬ ImWp∂ ]mt‰¨ hc-bv°p-I. Cu Nn{X-Øn-\p-≈n¬ 21`mKw, 4

1`mKw F∂nh

hyXykvX coXn-bn¬ sjbvUv sNøp-I.

2. 15 sk.-ao. \ofhpw 10 sk.-ao. hoXnbpw 12 sk.-ao. Db-c-hp-ap≈ NXp-c-s∏´n \n¿Ωn-°p-I.amXrI ImWn-°-Ww.

3. ¢m v dqanse tai-bpsS apIƒ`m-K-Øns‚ ]c-∏-fhv Is≠Øn AXn¬ H´n-bv°m-\p≈ssa°-bpsS Afhv Is≠-Øp-I.

32`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

1. Hcp ¢m nse 20 Ip´n-I-fpsS icm-icn `mcw 30 In.{Kmw BWv. ]pXn-b-Xmbn h∂ So®-dns‚`mcw IqSn tN¿∂-t∏mƒ Ah-cpsS icm-icn `mcw 32 Intem-{Km-ambn. ]pXp-Xmbn h∂ A[ym-

]n-I-bpsS `mcw Is≠-Øp-I.

2. Hcp \o¥¬°p-f-Øn\v 30 ao‰¿ \of-hpw, 15 ao‰¿ hoXnbpw 2 ao‰¿ Bg-hp-ap-≠v. CXn¬ ]IpXnDb-c-Øn¬ sh≈-ap-s≠-¶n¬ BsI F{X en‰¿ sh≈-ap-≠m-Ipw. Cu Ipf-Øn¬ 1 sk.-ao.

Db-c-Øn¬ sh≈w IqSn-bm¬ F{X en‰¿ sh≈w IqSpw?

3. NXp-cm-Ir-Xn-bmb Hcp ÿeØv ]b¿, sh≠, Noc, hgp-X\ Ch Irjn sNøp-∂-Xn\v ÿewXncn-®n-cn-°p-∂Xv Xmsg ]d-bp∂ coXn-bn-em-Wv.

a) BsI ÿe-Øns‚ F{X `mK-ØmWv ]bdpw sh≠bpw Irjn sNbvXn-cn-°p-∂Xv?

b) Nocbpw hgp-X-\bpw Irjn sNbvXn-cn-°p-∂Xv F{X `mKw?

c) ]b¿ Irjn sNbvX-Xns‚ F{X `mK-ØmWv hgp-X\ Irjn sNbvXn-cn-°p-∂Xv?

4. Hcp NXp-c-Øns‚ ]c-∏-fhv 2

17 NXp-c-{i-ao-‰¿. Hcp hi-Øns‚ \ofw

4

11 ao‰¿ Bbm¬ at‰

hi-Øns‚ \ofw F{X?

]b¿

sh≠

Noc hgp-X\

33


`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√)

1. KptKmƒ πIvkv F∂-dn-b-s∏-Sp∂ kwJy.

2. kvIqƒ Akw-ªn-bn¬ Bdmw-¢m-knse cmPp-hns‚ ÿm\w ap∂n¬ \n∂v 18-˛maXpw ]n∂n¬\n∂v 23-˛maXp-am-sW-¶n¬ B hcn-bn¬ BsI F{X Ipń-Iƒ D≠v?

3. Hcp kwJy-bpsS ]Ip-Xn-bpsS Im¬ `mKw B kwJy-bpsS F{X `mK-amWv?

4. Hcp ka-N-Xp-c-Øns‚ hi-Øns‚ \ofw 6 sk.-ao. BWv. AXns‚ hi-ß-ƒ 1 sk.-ao. hoXw\oń-bm¬ In´p∂ ka-N-Xp-c-Øns‚ ]c-∏-fhv BZy-tØ-Xn-t\-°mƒ F{X IqSp-X-emWv?

5. (1 – 21

) (1 – 31

) (1 – 41

) (1 – 51

) = .......

6. Hcp Znh-k-Øn¬ F{X an\n-‰p-Iƒ D≠v?

7. 61

t\mSv F{X Iqń-bm¬ 51

In´pw.

8. Hcmƒ Xs‚ hoSns‚ aXn-ens‚ 73

`mKw H∂mw Znhkw s]bn‚ v sNbvXp. tijn-°p∂Xns‚

41

`mKw c≠mw Znhkw s]bn‚ v sNbvXp. c≠p Znh-khpw IqSn s]bn‚ v sNbvXXv F{X

`mKw?

9. 1, 22, 333, 4444, .......... Cu t{iWn-bn¬ 9˛masØ ]Z-Øns‚ A°-ß-fpsS XpI F{X?

10. 256 F∂ kwJy-bn¬ F{X LS-I-ßƒ D≠v?

`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: hym]vXw

34`mKw: kn

{]mtbm-KnI ]co£


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. CjvS-ap≈ Hcp ka-N-Xpcw hc-bv°p-I. ka-N-Xp-c-Øns‚ \mep aqe-I-fnepw IqSn IS∂p t]mIp∂Hcp hrØw hc-bv°p-I. XpS¿∂v aqe-Iƒ hrØ-Øn¬ hc-Ø-°-hn[w ka-j-Uv`pPw hc-

bv°pI.

a) hrØ-Øns‚ Bcw Af-s∂-gp-Xp-I.

b) ka-j-Uv`p-P-Øns‚ Hcp hihpw hrØ-Øns‚ Bchpw XΩn-ep≈ _‘w Is≠-Øp-I.

c) ka-j-Uv`p-P-Øns‚ tIm¨ Af-s∂-gp-Xp-I.

352. NXp-c-s∏ń \n¿ΩmWw. (amXrI \¬I-Ww)

3. ¢mkv apdn-bpsS Hcp P\m-ebv°v sImXp-Ip-he ASn-°p-∂-Xn\v Bh-iy-amb he-bpsS ]c-∏-fhv ImWp-I.

`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

1. Np‰-fhv 32 sk.-ao. BI-Ø-°-hn[w F{X NXp-c-ßƒ hc-bv°mw. (h-i-ßƒ FÆ¬ kwJy-I-fm-I-Ww). Ch-bn¬ G‰hpw IqSp-X¬ ]c-∏-fhv D≈ NXp-c-Øns‚ hi-ß-fpsS \ofw F{X?

2. 180 sk.-ao. Np‰-f-hp≈ NXp-cm-Ir-Xn-bn-ep≈ Hcp Sn≥ jo‰ns‚ \mep aqe-bn¬ \n∂pw XpeyAf-hp≈ ka-N-Xp-c-ßƒ apdn®p am‰p-∂p. tijn® `mKw aS°n NXp-c-s∏ń \n¿Ωn-°p-∂p.

F¶n¬ s]ń-bpsS Dbcw F{X? AXns‚ D≈-fhv F{X en‰-dm-bn-cn°pw?

3. kptcjv Xs‚ hcp-am-\-Øn¬ \n∂pw 45% `£-W-Øn\pw 18% hkv{X-Øn\pw 12% Ipń-I-fpsShnZym-`ym-k-Øn\pw 15% Btcm-Ky-Øn\pw 6% hnt\m-Z-Øn\pw _m°n C‘-\-Øn\pw th≠n

sNe-h-gn-°p-∂p. kptc-jns‚ hcp-am\w 24000 cq]-bm-sW-¶n¬ C‘-\-Øn-\p-th≠n sNe-h-gn-

°p-∂Xv hcp-am-\-Øns‚ F{X iX-am\w? Hmtcm-∂n\pw sNe-h-gn-°p∂ XpI F{X-sb∂v

IW-°m-°pI?

4. sjbvUv sNbvX `mK-ß-fpsS ]c-∏-fhv BsI-bp≈Xns‚ F{X `mK-am-sW∂v Fgp-Xp-I. CuAf-hp-Iƒ Btcm-l-W-{I-a-Øn¬ Fgp-Xp-I.

36

NuMATS D]-Pn-√m-Xe ]co£ 2017-˛2018amXrIm tNmZy-t]-∏¿ -˛ 12

`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√)

1. cmap-hn\pw aI\pw bm{X sNtø≠ s{Sbn-\ns‚ kabw 16:15 F∂v tÃj-\n¬ Fgp-Xn-sh-®n-cn-°p-∂p. CXp I≠ Ipń s{Sbn≥ hcp-hm≥ F{X kabw D≠v F∂v tNmZn-®p. C\n 5 an\n‰v

IqSn F∂v cmap ]d-™p. F¶n¬ cmap-hns‚ hm®nse kabw F{X?

2. Hcp kwJy-bpsS 25% s‚ 25% 25 Bbm¬ kwJy GXv?

3. 815

s‚ 21

`mKw F{X?

4. Hcp kwJy-bpsS 5 aS-ßn-t\mSv 5 Iqń 5 sIm≠v lcn-®m¬ 5 In´pw F¶n¬ kwJy GXv?

5. 6, 6, 6, 6, 6, 6 F∂o Bdv kwJy-I-fpsS hyp¬{I-a-Øns‚ XpI F¥v?

6. 100 cm2 hoXw ]c-∏-fhv D≈ 4 ka-N-Xp-c-ßƒ Hcp hcn-bn¬ tN¿Øv sh°p-∂p. Ct∏mƒInńb NXp-c-Øns‚ Np‰-fhv F¥v?

7. Hcp tcJob tPmSn-bnse Hcp tImWns‚ ]Ip-Xn-bmWv at‰ tIm¨ F¶n¬ tImWp-I-fpsSAf-hp-Iƒ Gh?

8. Hcp ¢m nse 20 Ipń-I-fpsS `mc-Øns‚ icm-icn 30 In. {Kmw BWv. Hcp Ipń-IqsS ]pXp-Xmbn h∂-t∏mƒ icm-icn 31 In.{Kmw Bbn. F¶n¬ ]pXp-Xmbn h∂ Ipń-bpsS `mcw F¥v?

9. 103x25-75 = k x 25 Bbm¬ k bpsS hne F¥v?

10. AHcp H‰-kwJy Bbm¬ ASpØ H‰-kwJy GXm-bn-cn°pw?

`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: Zimwi kwJy-I-fpsS hyh-I-e\w

37`mKw: kn

{]mtbm-KnI ]co£


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. 6 sk.-ao. hymk-ap≈ Hcp hrØ-Øn¬ Hcp ka-N-Xpcw hc-bv°p-I. Cu Nn{Xw hc-bv°m≥Bh-iy-amb ka-N-Xp-cm-Ir-Xn-bn-ep≈ t]∏-dns‚ Ipd-™-]-c-∏-f-sh{X?

2. hym]vXw 64 sk.-ao. Iyq_v hcp∂ Hcp Iyq_v \n¿Ωn-°p-I.

3. KWn-X-]m-T-]p-kvX-I-Øn-s‚bpw KWnX t\m´v _p°n-s‚bpw \ofhpw hoXnbpw Is≠-Øp-I.{]kvXpX Af-hp-Iƒ ao‰-dn¬ Fgp-Xp-I.

`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

1. 50 sk.-ao. \ofhpw 30 sk.-ao. hoXnbpw 20 sk.-ao. Db-c-hp-ap≈ Hcp NXp-c-∏m-{X-Øn¬ 6 sk.-ao. Db-c-Øn¬ sh≈-ap-≠v.

a) ]m{X-Øn¬ F{X en‰¿ sh≈-ap≠v?

b) ]m{X-Øns‚ D≈-fhv F{X en‰¿ BWv?

c) ]m{X-Øn¬ C\n F{X en‰¿ sh≈w IqSn \nd-bv°m-\mIpw?

2. 50 Hmh-dp-I-fp≈ Hcp {In°‰v a’-c-Øn¬ c≠m-aXv _m‰v sNøp∂ Sow BZysØ 20 Hmh-dn¬t\Snb d¨ icm-icn 3.5 BWv. a’-c-Øn¬ hnP-bn-°p-∂-Xn\v BsI 250 d¨kv Bh-iy-am-

sW-¶n¬ tijn® 30 Hmh-dnse d¨ icm-icn F{X-bm-bn-cn-°Ww?

383. F´v A-f-hp-I-fpsS icm-icn 7 BWv. AXn¬ 6 Af-hp-I-fpsS icm-icn 9 Bbm¬ _m°n c≠v

A-f-hp-I-fpsS icm-icn F{X-bm-bn-cn°pw?

4. Poh≥ Xn¶ƒ apX¬ sh≈n-hscbp≈ Znh-k-ß-fn¬ 25 aWn-°q¿ tPmen sNbvXp. At±lw

Xn¶-fmgvN 433 aWn-°q¿, sNmΔmgvN 2

15 aWn-°q¿, _p[-\mgvN 316 aWn-°q¿, hymgmgvN

435 aWn-°q¿ tPmen sNbvsX-¶n¬ sh≈n-bmgvN F{X aWn-°q¿ tPmen sNbvXp?

39


`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√)

1. 11 ao. hi-ap≈ ka-N-Xp-cm-Ir-Xn-bmb Hcp lmfn¬ 10 ao. hi-ap-≈Xpw ka-N-Xp-cm-Ir-Xn-bn-ep-≈-Xp-amb Ib-‰p-]mb hncn-®n-cn-°p-∂p. tijn-°p∂ ÿe-Øns‚ Af-sh¥v?

2. A\p-hns‚ ]°-ep≈ a[p-c-]-e-lm-c-ß-fn¬ 41

`mKw Nph-∏p-\n-dhpw 52

`mKw a™-\n-d-hp-amWv.

tijn-°p∂Xv Hmd©p \nd-Øn-ep≈XmsW-¶n¬ AXv BsI-bp-≈-Xns‚ F{X-̀ m-K-am-bn-cn°pw.

3. 1200 s‚ 4% s‚ 3% F{X?

4. 1+2+3+4 = 10 CXp-t]mse XpS¿®-bmb 4 FÆ¬ kwJy-I-fpsS XpI-bmbn 22 s\ Fgp-Xp-I.

5. Hcp ka-N-Xp-c-Øns‚ hi-ßƒ Cc-ń-°p-tºmƒ ]c-∏-f-hn¬ hcp∂ am‰w F¥v?

6. 8 kwJy-I-fpsS icm-icn 21 BWv. Hmtcm kwJy-tbbpw 8 sIm≠p KpWn-®m¬ icm-icn F{X-bmIpw?

7. Hcp kwJy-bpsS Cc-ń-bn¬ \n∂v AXns‚ ]IpXn Ipd-®-t∏mƒ 30 Inń. kwJy GXv?

8. \qdm-asØ H‰-kw-Jybpw \qdm-asØ Cc-´-kw-Jybpw tN¿∂m¬ F{X-bmIpw?

9. c≠p kwJy-I-fpsS XpIbpw KpW-\-^-ehpw Xpey-am-Wv. AXn¬ Hcp kwJy 5 BsW-¶n¬at‰ kwJy I≠p-]n-Sn-°p-I.

10. Hcp t]\bv°v 5.50 cq]-bmWv hne. 66 cq]bv°v F{X t]\ e`n°pw?

`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: hym]vXw \nXy-Po-hn-X-Øn¬

`mKw: kn

40{]mtbm-KnI ]co£


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. Xmsg sImSp-Øn-cn-°p∂ Nn{Xw hc-bv°p-I.

2. Hcp NXp-c-kvXw`w \n¿Ωn-°p-I.

(Hcp NXp-c-kvXw-`-Øns‚ amXrI {]Z¿in-∏-°p-I.)

3.

{XntImWw ABC bpsS hi-ßƒ Af∂v AXns‚ Np‰-fhv Is≠-Øp-I. AS-bm-f-s∏-Sp-Øn-bn-cn-°p∂ tImWp-I-fpsS Af-hp-Iƒ Is≠-Øp-I.

41`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

1. Ac-°n-tem{Kmw tI°v 4 ]mbv°-‰p-I-fn¬ Xpey-ambn hoXn-®p. AXn¬ 3 ]mbv°‰v H∂n-s®-Sp-Øm¬ AXns‚ `mcw F{X Intem{Kmw?

2. 3 en‰¿ sh≈w Htc t]mep≈ 4 Ip∏n-I-fn¬ \nd-®p. AXn-semcp Ip∏n-bnse sh≈w Htc-t]m-ep≈ 5 Ip∏n-I-fn¬ \nd-®p. Ct∏mƒ Hcp Ip∏n-bn¬ F{X an√o-en-‰¿ sh≈-ap-≠v.

3. 1 ao‰¿ \ofhpw 60 sk.-ao. hoXnbpw 40 sk.-ao. Db-c-hp-ap≈ NXp-cm-Ir-Xn-bmb ]m{Xw \ndsbsh≈-ap-≠v. Cu sh≈w ]q¿Æ-ambn H∂c ao‰¿ \ofhpw 80 sk.-ao. hoXn-bp-ap≈ NXp-cm-Ir-

Xn-bmb as‰mcp ]m{X-Øn-tebv°v Hgn-°p-∂p. F¶n¬ Cu ]m{X-Øn¬ F{X Db-c-Øn¬

sh≈-ap-≠m-Ipw.

4. Iyq_ns‚ BIr-Xn-bp≈ Hcp Sm¶ns‚ Hcp hi-Øn\v 14400 sk.-ao. kvIz-b¿ ]c-∏-f-hp-≠v.

Sm¶n¬ \ndsb sh≈w Ds≠-¶n¬ 3 en‰¿ sIm≈p∂ F{X Ip∏n-I-fn¬ sh≈w \nd-bv°m≥

km[n-°pw.

42NuMATS D]-Pn-√m-Xe ]co£ 2017-˛2018


`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√)

1. H∂p apX¬ 100 hsc-bp≈ FÆ¬ kwJy-I-fpsS XpI F{X?

2. Hcp _°‰v \nd-bm≥ 20 I∏v sh≈w thWw. Hcp Sm¶v \nd-bm≥ 20 _°‰v sh≈w thWw.F¶n¬ Hcp Sm¶v \nd-bm≥ F{X I∏v sh≈w thWw?

3. Hcp t¢m°n¬ 9 aWn 10 an\n‰v ImWn-°p-tºmƒ aWn-°q¿ kqNn°pw an\n‰v kqNn°pw CS-bn-ep≈ tIm¨ F{X-bm-bn-cn°pw?

4. 1000 \v F{X LS-I-ß-fp≠v?

5. Hcp hrØ-Øns‚ 83

`mKw FSp-Øm¬ tI{μ-Ønse tIm¨ F{X?

6. L F∂ tdm-a≥ kwJy kqNn-∏n-°p∂ kwJy?

7. Hcp L\-ao-‰¿ F{X en‰-dmWv?

8. 21

+ 41

+ 81

+ 161

˛s‚ Zimwi cq]w F¥mWv?

9. 17 ao‰¿ \of-ap≈ Hcp NcSv 25 ka-`m-K-ß-fm-°n. Hmtcm Ij-W-Øn-s‚bpw \ofw F{X ao‰-dmWv?

10. Hcp hc-bn¬ \n∂pw as‰mcp hc hc-bv°p-tºmƒ D≠m-Ip∂ c≠p tImWp-I-fn¬ sNdnbtImWns‚ 5 Cc-´n-bm-Wv. henb tIm¨ F¶n¬ henb tImWns‚ Af-sh{X?

`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: hnhn-[-Xcw tImWp-Iƒ

43`mKw: kn

{]mtbm-KnI ]co£


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. X∂n-cn-°p∂ Nn{Xw hc-bv°p-I. AXns‚ 52

`mKw \ndw sImSp-°p-I.

2. X∂n-cn-°p∂ Nm¿´v t]∏¿ D]-tbm-Kn®v ka-`p-P-{Xn-tImWw \n¿Ωn®v hihpw tImWpw Af-s∂-gp-Xp-I.

3. X∂n-cn-°p∂ Nm¿´v t]∏¿ D]-tbm-Kn®v 30 20 N. sk.-ao. ]c-∏-f-hp≈ Hcp t]∏¿ D]-tbm-Kn®vka-`p-P-{Xn-tImWw \n¿Ωn-°p-I. hiw, tIm¨ Ch Af∂v Fgp-XpI?

`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:



44 DØ-c-Øn-se-Øn-t®¿∂ Hmtcm L´hpw kq£va-ambn hne-bn-cpØn kvtIm¿ \¬tI-

≠-Xm-Wv.

1. tkma≥ ]pXn-b-Xmbn \n¿Ωn-°p∂ hoSn\v 4,00,000 cq] _m¶n¬ \n∂pw temsW-Sp-Øp. BZy-

L-´-ambn hoSns‚ 31

`mKw ]Wn-]q¿Øo-I-cn-®-t∏mƒ temsW-SpØ XpI-bpsS 41

`mKw e`n®p.

ASpØ L´-ambn 52

`mKw ]Wn ]q¿Øo-I-cn-®-t∏mƒ temsW-SpØ XpI-bpsS 21

`mKhpw

e`n-®p. C\nbpw hoSns‚ F{X-`mKw ]q¿Øo-I-cn-°m-\p≠v? CXn-\mbn _m¶n¬ \n∂pw F{X

cq] e`n-°pw.

2. 10 sk.-ao. hi-ap≈ Hcp Iyq_ns‚ Hmtcm hihpw aq∂v aSßv h¿≤n-∏n-®m¬ hym]vXw F{XaSßv h¿≤n-°p∂p?

3. Hcp henb ka-N-Xp-c-°-´sb 4 sk.-ao. hi-ap≈ 8 sNdnb ka-N-Xp-c-°-´-I-fm-°p-∂p. henbka-N-Xp-c-°-´-bpsS hym]vXw F{X?

4. 20 sk.-ao. Np‰-f-hp≈ NXp-c-Øns‚ \ofhpw hoXnbpw GsXm-s°-bmhmw? (]q¿Æ-kw-Jy-Iƒ) NXp-c-ß-fpsS ]c-∏-fhv ImWpI? G‰hpw IqSp-X¬ ]c-∏-f-hp≈ NXpcw GXv?

45


`mKw: F

Iznkv

kabw: 30 an\n´v

kvtIm¿ ̨ 10

\n¿t±-i-ßƒ:


hbv°-Ww.


{]Jym]n-t°-≠-Xn-√)

1. 1 apX¬ XpS¿®-bmb 50 H‰-kw-Jy-I-fpsS icm-icn F{X?

2. 7 * 35, 9 s‚ KpWn-X-amb 4 A°kwJy BsW-¶n¬ * F{X?

3. 2 In. {Kmw s‚ Hcp tI°v 5 Xpey Ij-W-ß-fm-°n. AXn-temtcm Ij-W-sØbpw ho≠pw]Ip-Xn-bm-°n-bm¬ Hmtcm Ij-W-Øn-s‚bpw `mcw F{X?

4. 3:30 kabw BIp-tºmƒ t¢m°n-ep-≠m-Ip∂ tImW-fhv F{X?

5. t{iWn-bnse ASpØ kwJy GXv?

2, 6, 14, 30, ..........

6. 33.33 Cu kwJy-bnse hesØ A‰sØ A°-Øns‚ F{X aS-ßmWv CSsØ A‰sØA°w?

7. Hcp NXp-c-Øns‚ ]c-∏-fhv 80 N. sk.-ao. Cu NXp-c-Øns‚ \ofw 3 aSßv Iq´pIbpw hoXn

31

`mKw Ip-d-bv°p-Ibpw sNbvXm¬ ]c-∏-fhv F{X?

8. 10001

˛s‚ Zimw-i- cq-]-sa{X?

9. XpS¿®-bmb 3 kwJy-I-fpsS XpI 99 Bbm¬ sNdnb kwJy-tbXv?

10. Hcp ka-N-Xp-c-°-´-bn¬ 27 sNdnb I´-Iƒ D≠v. CXns‚ F√m hihpw s]bn‚ v sNbvXm¬Hcp hiØpw s]bn‚-Sn-°mØ F{X sNdnb I´-Iƒ D≠mIpw?

`mKw: _n


kabw: 30 an\n´v

kvtIm¿ ̨ 10

hnjbw: LS-I-ßƒ

46`mKw: kn

{]mtbm-KnI ]co£


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ: (A-≤ym-]-I¿°v)








1. Xmsg sImSp-Øn-cn-°p∂ Nn{Xw hc-bv°p-∂-sX-ß-s\-sb∂v Ipdn∏v Xøm-dm-°p-I. CjvS-ap≈

Af-hn¬ Nn{Xw hc-bv°p-I.

2. NXp-cm-Ir-Xn-bn-ep≈ Hcp Nn{Xw {]Z¿in-∏n-°p-I. CXv s{^bnw sNøm-\m-h-iy-amb s{^bn-

ans‚ Afhv I≠p-]n-Sn-°p-I.

3. hißfpsS-sb√mw \ofw 10 sk.-ao. Bb Hcp Iyq_v \n¿Ωn-°p-I. (am-XrI \¬I-Ww)

`mKw: Un


kabw: 30 an\n´v

kvtIm¿ ̨ 15

\n¿t±-i-ßƒ:




≠-Xm-Wv.

471. NXp-cm-Ir-Xn-bn-ep≈ Ipf-Øn\v 25 ao. \ofhpw 20 ao. hoXnbpw 2 ao. Bghpw thWw. CXns‚

\n¿Ωm--WØn\v aÆv 2 ao. \ofhpw 2 ao. hoXnbpw 1 ao Db-c-ap≈ s]ńI-fn¬ \o°w sNbvXm¬

F{X s]ń aÆv D≠m-Ipw.

2. Hcp hm´¿ Sm¶n-tebv°v 2 ss]∏p-Iƒ _‘n-∏n-®n-cn-°p-∂p. H∂m-asØ ss]∏n-eq-sS- am{Xwsh≈w h∂m¬ 10 an\n´psIm≠pw c≠m-asØ ss]∏n-eqsS am{Xw sh≈w h∂m¬ 15 an\n-

‰p-sIm≠pw Sm¶v \nd-bpw. 2 ss]∏p-I-fn-eq-sSbpw Htc kabw sh≈w h∂m¬ Sm¶v F{X

kabw sIm≠v \ndbpw?

3. 5 Ipń-I-fpsS icm-icn ̀ mcw 32 In. {Kmw BWv. HcmƒIqSn Ah-cpsS {Kq∏n-tebv°v h∂-t∏mƒicm-icn `mcw 33 In. {Kmw Bbn amdn. ho≠pw Hcmƒ IqSn h∂-t∏mƒ icm-icn `mcw 31

In.{Kmw Bbn Ipd-™p. Ah-km\w h∂ Ipń-bpsS `mc-sa¥v?

4. 10 ao. \of-ap≈ dn_-Wn¬ \n∂v 43

ao‰¿ hoXw 6 Ipń-Iƒ°mbpw 21

ao‰¿ hoXw 6 Ipń-

Iƒ°mbpw apdn-®p-sIm-Sp-Øp. an®-ap≈ dn_-Wns‚ \of-sa{X?

(Nurturing Mathematical Talent in Schools) · 2017. 11. 26. · 1 \yqamXvkv – (NuMATS) (Nurturing...

Documents

Transcript of (Nurturing Mathematical Talent in Schools) · 2017. 11. 26. · 1 \yqamXvkv – (NuMATS) (Nurturing...