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\".. Glossary Area the amount of surface occupied by a shape Ascending order arrangement in the order of the smallest to the largest Bar graph a chart with equally spaced vertical or horizontal bars of the same width to represent the data Bill a statement of money owed for goods or services received Chord a line segment that joins two points on the boundary of a circle Circumference the length of the boundary of a circle Closed curve a curve which begins and ends at the same point composite number a number which has more than two factors Descending order arrangement in the order of the largest to the smallest Diameter a chord of a circle which passes through the centre of the circle Estimation a rough calculation of the value, numbet quantity, or extent of something Even Number a number that is divisible by 2 Factors a number which divides a given number without leaving any remainder Highest Common Factor the greatest common factor of two or more numbers lmproper Fraction a fraction that has its numerator greater than or equalto the denominator Least Common Multiple the smallest common multiple of two or more numbers Like Fractions fractions having the same denominator Mixed Fraction a combination of a whole number and a fraction Net a two-dimensional structure of a three-dimensional figure that can be folded to form the figure Odd Number a number that is not divisible by 2

Open Curve a curve that does not end at the starting point Perimeter Pie Chart the sum ofthe lengths all the sides of a figure Polygons a circular chart in which the whole circle is divided into ptrtf to Prime Numbers Proper Fraction represent the data. Radius closed shapes made up of three or more line segments Regular Polygon Roman Numerals a number which has only two factors, L and the number ltself a fraction that has its numerator less than the denominator Symmetry distance between the centre and any point on the boundary of Tangram a circle Tessellation a polygon with equal sides, for example, square Timeline Unlike Fractions Romans used letters to represent numbers. Forexample, 5 = V 9=lX shown by an image, picture or an object that have two halves that are exactly the same Chinese geometric puzzle consisting of a square cut into seven pieces that can be arranged to make various other shapes the process of repetition of a design without leaving any gap, for example, honeycomb. organisation of events in the order oftheir happening fractions which have different denominators

I Answers to Selected Questions Chapter I l-a 2.c 3.d 4.a 5.c 6.c 7.c Exercis€ l.l c.52,3t6 8. a- XVI b. XXIII c. XLIX d. LXXV '1.4.42,362 B.23,410 c.42,316 b. 25 c. 50 9. a. 32 d. 60 42,662 b. 27,410 d. 1.68,000 e. 3,99,000 2. b. ^4.4,010 b. 63,257 3. b. Seventy-eight tholsand eidb/-one L a. Amapma < Lholse < K2 < Mount Everesl c. .Two lakh twetrty\"two thousand one hundred twelve b. Annapuma+26500, Lhotse -t 27,900, K2 -+ 28,300 d. Four lakh fifty six rhousand two hundred one rMount Everesr 29,000 e. Eight lakh ninety-nine thousard five c. 7100 d. 6000 e. 7 I I,11,765 feel,765 2. 95310 ) 039s f. ThFe lakh eiShl $ousand one hundred ninety-six 4. b- 65,281 c. 5,01,063 d. 76,508 e. 1,20,005 10395 13905 13905 95310 5. b.5hudEdsor500 c. 5 thousands or 5000 or50.000d. 5 teD thousands e. 5 lakhs or 5,00,000 6. b. 40,000 or 4 len thousards c.4or4ones Chapter 2 d. 4,00,000 or 4 lakhs e. 400 or 4 hmdreds Exercise2.l '7- a. 16,454 l. a. 79568 b. 80239 c. 60223 d. 76000 b. 1,5t,206 c.5,1J,847 e. 58997 f.9a124 h. 576806 e. 544154 8- a. 45,640; 45,650: 45,660; 45,6?0 i. 853847 j. 991866 b. 43,300; 43.400t 43,500: 43,600 2.<35,980 l. ?1,71,371 4. 63462 c. 73.260i'l 4260, 7 5.260t 76,260 .15,43,678 d. 35,290; 45290; 55,290; 65,290 9. a. 7.895; Seven thousmd eidt hudred ninety-live Exerctse 2.2 b. 34.952i Thirry-fou thoDsed nine hudred fifty-two L a. 1.32,423 b. 3,73,543 c. 0 d. 1 e. 56,234 c. 14.236; Fouiteen thouwd two hudred thirty-six 2. 49,9t3 b.7,98,510 d- 1,48,325; One lakh forty-eidt thoMd thre€ hundred ^c.. 7,29,410 d. 13.85,0?0 e. 4Jl,214Foulakhfony-onethousandfwohundredtwelve Exercise 2.3 Exercise 1.2 l. 632200,632210 b. 491000,490950 d. 150000,149967 L b. iii c.v d.i. e. ii 2.a.< b.> c.> d.= ^c.. r017100, l0l?099 b. t59000, 159799 L a. 71,985 b. 4,68,249 c. 98,986 d. 1,43,898 2. a. 85000,85861 d. 133000, 133827 e. 4,99,999 t 86,998 c. ?99000,799091 d.4,99,580 4- a. 84,500 b. 5,68.324 c. 15,297 Ercrcise 2.4 e. 80,000 f. 11,379 b.1,84,100 b. 12,108 6. a. 81,005 L a. 31552 b. 28321 c. 53313 d. 61138 e. 294611 5. a. 4274 f.323066 s.967 h. 237322 7. a. 75,462 <76,452 <94.652 <95,264 < 96,524 2.30,922 3.4,47,389 4. 5,13.878 b. 4,19,887<4,89,?81 <4.91,887<4,98,871 lu:l2,ro,oe3 8. a. 86,654 > 86,546 > 86365 > 84.665 > 84,s66 Exerctse 2.5 b. 1,51.971> 1,51,791 > 1,15,791> 1,15,197 \\- a.65,432 b- 1,25,125 c. 0 0d. e. 88,373 9. 98,432.23,489 b. ?5,430;30,457 f 93,838 g. 0 h. 99,998 ^c.. 85,410; 10,458 d. 1,53,2l0t 1,02,357 2. a. 56,234 b. o .. 83.134 d. 5,96,142 E ercise 1.3 Erercise 2.6 c. 83837 d. 11382 l. a. 90 b- 190 c. 1300 d. 4840 e. 3010 t 7630 2- a. 8300 b. 7300 c. 700 d. 4800 e. 3200 | 5500 l. 23313 b. 32207 c. 1,98,963 t3. a- 4000 b. 2000 c. 14,000 d. 21,000 e. 53,000 75,000 ^e..862t22 f. 245150 4. a. l4,ll,l00;43.10J00;12,78,300 b. {9,99,900; {50 2. 10,930 b. 10.028 ^- UE l5,e?3i a. rs,e?o b. 16,000 c. 16,000 L a. 9,200t9,120 b. 30,200;30,202 c. xv d. xx c. 1.10,000; 1,09,918 d. 3,00,700; 3,00,705 b. 16,000; 15.274 L a. \\.II b. XII h, XXXI i. XXXV e. xx\\rl 2. a. 11,000;11,109 d. 6,75,000i 6,74,819 t )C<lX g. )O<X c. 15 d. 16 j. Dcxrx h. 20 i. t7 c. 1,92,000; 1,92,013 c. 5,95,000 d. 2.50,000 2.^.8 b.40 e. 27 t38 9.34 j.19 3. a- 46,000 b. 36.000 4. 11,000 5.21.000

Exerclse 2.8 .. 33,142 d. l.l I,524 L Monahs a. t2.25t b. 24,364 e.7.43445 f. 5,52,724 '7750 L a. 47504 b. 81588 c. 888279 d. 1449405 7000 2. ?. 874\\ b.22208 c. 187384 d. 229993 7750 d. l l0o0 7500 3. a. 39000 b. 28000 c. 289000 7750 d_ 8509181 4. ^. 34344 b. 21405 c. 572451 Mav e. d. 482556 66768 t 115520 5. a. 31748 b. 10489 c.446268 a. 4000 students b. 7800 students c. 12.250 students 6. 94,276 2. Number of Nunb€r of Nrmber of legF a. 64560 b. 44955 c. 8900 l0 40 20 120 25 100 100 600 Chapter 3 50 200 250 1500 Exe.ctue3.1 b. 53 c. 164 d. l Chapter 4 I. 1068 l. a. 82 l0 b. 3738 Exerclse4.t e.0 i. 1953 j. 2907 c. ii d- iii e. i l. a. Q=ll7l,R=0 b. Q=99,R=0 c. Q=34,R=5 b.iv d. Q=36,R=8 e. Q=559,R=0 2.a.\\ Q=580,R=14 t Exerctse3.2 c. Q-43,R=4 h. Q=480.R=0 l. a. ll00 b. 18.000 c. 1,30,000 d. 40,300 2. 384 L 17; I 4.529 e. 2,63.400 f. 11.000 g. 40,000 h. 73.000 1. 42,600 j. 7,23.000 k. 24,000 t.9,18,000 5. b. Q =24,647, R=3 2. a. 1089 b.2172 c. 6435 d. Q = 249, R=0 e. 3564 f. 5148 g. 4059 d. 7821 c. Q:47,R=0 t. 735 j. 2492 k. t326 h. 846 I Q= 1645, R=4 m.5293 n. 1537 o. 4214 t. 4012 e. Q:103, R= l0 p- 6408 g. Q= 1094, R=4 h. Q=541,R=0 c. 30,197 Exercis€ 3.3 b. 368 c_ 1178 6.a.42 b.5 c. 4600 b.230t6 L a. 132 t 984 7- a. Q = 230, R=6 e. t220 j. ll05 d_ 612 i. 555 e. 325 ilgllo;: ll52 h. 784 2. a.232 k. t. 494 Exercise 4.2 e.2t6 i. 6552 b. 324 c. 434 d. 1863 1 a. Q=40,R=0 b. Q=2,R=0 c. Q=6000,R=0 g. 957 h. l58l d. Q=27,R=327 e. Q=476;R=47 t Q=38,R=757 f,x€rcise3.4 f. 224 k. 47,244 t. 27,248 g. Q:8731. R = 8 h. Q=986,R=98 1242 L a.8701 j. e. 2,08,256 b. 55,024 c. 68,238 d. 66,942 562. a. 6105, 6; 610, 56; 61, b. 8604,4t 860,.14; 86,,14 f- 3,60,584 g. I,18,218 b. 9,39,348 i. 6,78,223 c. 1163,8; ll6,38i 11,638 d. 2906,5t290,65t29,65 Erercise3.5 3. 43,83 4. < 724 5. 22 1.52.398 6. a. 6;98 b.7;6 c. 15l d. 9;684 5. 7500 e. 5; 123 I 8?06 3. 2,72.440 4. 67,500 2. 24,795 [x€rcis€ 4.3 c. 7125 d- 0 7.4980people 6. t 4500 l a. l U9r6,872 b. 7663 Ex€rcise 3.6 t0 l. a. 40,000 b. 60,000 c. 1,20,000 d. 80,000 1. a. l0 b. 30 g. lo 80003. ? 4. chewing gum e. 30 f. 20 4.6 2. 15,400 2_ 57 3. 32 l.a.i b. ii c. iv c. iii f. iii Mlxed B1g l. {3892 2.29columns 2. a. {9000 b. 19950 c. 152,200 3. a. 80.000 b, 3,00.000 c. 90,000 lyElr03e

! MLlliples of 5: 5, 10, 15, 20, 25 3,584;448 Comon multiple: 20 c. Muliples of3:3,6,9, 12, 15 < 52, < 26 Muliples of9: 9, 18,27, 36,45 l.c Z.c l.b 4.b 5.d 6.c 7.b Common multiple: 9 8.c q.c 10. a ll.a l) c d. Muliples of5: 5, 10, 15,20,25 L a. 40 sludenls b. 33 studenrs Muliples of6: 6, 12, 18,24, 30 Common multiple: rone c. III -+ 30 studeDts d. 50 studors; 2 students 3. a. 72 b. 224 c. 40 d. 45 e. 168 IV J 32 studdls e.95studenrs t 60 c. 66 h. 858 i. 360 j. 350 VJ 33 srudents 4,9i216 HOTS: Raehav has 45 narbles and Kunal has 43 mdbles. Chapter 5 l. 305,310, 315,320,325, 330,335. 340,345 Er.rcise 5.1 2. Divisible by2: 132, 280, 9ft. I50. 236. I00, 764 L a. 30, 15,3,6 Divisible by l0:280, 150, 100 Divisible by bolh 2 and 10: 280, 150, 100 FactoB of30: 1,2.3.5,6, 10, 15,30 Speed Mrths 2. yes b. r, 18. 12,9,6 Faclon of 36: 1. 2, 3,4, 6, 9, 12, 18, 36 l. I and 13 c- 56,24,4,7 3. a. nulliple Fac1o6 of 56: l,2,4,7.8. 14,28.56 4. 16,12,48,64 and 32,64,96, 128 d. t,27,9 Faclors of 8l: 1,3,9,27,81 LCM = 32 L a. 1,2,4. 5, 8, 10,20,40 b. l,2,4.7.14.28 L a. 1,5 b. r,5 c. 1.2,3,6 c. 1,2,3,4,6,9, 12, 18.36 d. t,2,4.17,34,68 h. ).2,4 d. 1,2 f. t.2,4 e. 1,2,3,4. 6. 8,9, 12. t8,24,36. 72 h. ./ g. l,2 t.r' r. t, 2, 3. 4, 6, a, t2, t6, 24, 32, 48, 96 2.a.r' 2.^_/ b../ c.r' d.! ix E-/ h-t i.r' j.r' k.! Lt 3. a. l,2.4,8, 16.32 b. t, 2, 3, 6, tl,22. 33, 66 3. a. Multiples ofz:2,4,6,8, 10, 12. 14. 16. 18.20 Multiples of4:4, 8, 12. 16,20,24,28,32,36,40 c. r.3.5, 15,25, ?5 d. l. 3,9,27,8l e. l,3,11,93 b. MDltiples of6:6. 12, 18, 24, 30. 36, 42, 48, 54, 60 Multiplesof?: 7. 14,21,28.35.42.49,56.63, 70 Erercise 5,3 b. 1,2,4,8 c. 1,2,4 c. Multiplesof 8: 8. I6,24,32.40.48.56,61,72,80 2. 1,2,3,1,6,12 e. 1,7 t 1,5 Multiples of 9l 9. 18, 27, 36. 45. 54. 63, 72, 81, 90 d^.. 1,2,3.4,6,8,12.24 g. 1,2 h. l,5 i. l, 3,9 d. Multiples of l0: 10.20, 30, 40, 50, 60, 70, 80, 90, 100 j. t,2.4.8 Multiples of I l: 11,22.13,44, 55,66, ?7,88,99, I l0 L Pime numbeB: 13,23,31, 17,41,7, 19,5,29,31 b. 40 c. 30 Compositenumbea: 15.20,35.99. 72,81,64,58 d. 150 e. 96 4. 2,3,5,7, r t. 13. 17,19 5.2 b.5 6.4. I b.50 c..1 d.5 e-4 t lt d_ 50 e. l. 56 c.5 9.33 h.7 i.8 j.3 6.^-2 b.6 1. Multiples of4:4, 8, 12, 16,20.24,28,32,36.40 d.8 e.5 9. 84, 86,88,90 Multiples of5: 5. 10, 15. 20. 25, 30, 35, 40, 45, 50 ?. yes il ispossible 8. 50,60,70 I0. 90 ) 2,3. 5.6 ConDon Dultiples: 20, 40 13 ,13,26,39,52,65 2. a. Mlltiples ofz:2.4,6. 8, l0 Multiples of4:4, 8, 12, I6,20 2.21t6t8t2 Common dultiplesr4,8 1,2,3,1,6,4.12,21 b. Muliples of 4: 4, 8, 12, 16.20

Chapter 6 lg;lzlm* E e.cise 6.1 Elerctue 6.5 .2 -lt:0= _20l!_:.-l!5. != !=.1. t2 !- .'.9-'I] l5 3 \" 6 lt,2 .!t d. !=.l_ . _L:..l.q l6 3\"2 2 l0 l6 32 .98' _-t12.'' 16' 20' : -, J2.. .ts 1I 2' It6''mI , 4'' 3. .Iq..!!!61t,'.,48t8!..' ^L. .,ltz5.'.'l&20tt.''2295.'30 d. Ei.3q -t_\"-L |l L!q '\"t-3L _E1L4 r0)' l2 3. a.,*d,e-*.,+\".++-?-+-+ . +-*.+.i+ t4..4- lt02',18,.':p24t._, .L.'3lq6 t z.._1 1. '221t'2211a8',35t' 42 8 '.2l?t.'.2:..!.8qg.''35''42 L.'.2-L2144.'!-3,12,- _. _9_ 44),t48 . tT;.,2_91_.,'3:-_6L6!,..'I4q5.''54 j. JZ..2211t9'2.42l4t!8'3lq5L\\.' l4q2 -r\"*i5 ,l ,_t3l0:I ^ll o. -ta1, 29 t *kc I s. a+.6+.3+ 4 ! h. .!.1 8. Micky 9. 5 6 E*rctse 6.2 d; 9 -26 2. a. 2 kg carmts -+ t 50; 3 kg beans + { 120; Toial -+ t170 |c. 122.5;< 377.50 La-d.e 2.b.i.i 4.a. > b.> c-< d.= e.> l< g.< Chapter 7 ,.+-+.*-* s. \". ,.Ti.;. rl Ererclse 7.2 \";.it.n.41 a,.+\"L-*.-i.#1-.#z l. a. Open l:We b. closed cwe d. Opq cwe e. Open curve \"\\1 t1 t7 t7 g. Closed curve h. Open cufle \" +,+,+,+ Exerclse 7.3 ,;'*'*'+6. .. ;';' rs' ,, L a. l6cm b.30cm c.34cn d- 60cm e.200cm e rT'16'rT'- '*,*,+,* 2. a. 3cm b. ll cm c. 24cn d. 25cm e. 100 crn 3. 30 cm 4. 35 cm Exercise 6.3 -8 r2f85t68 \"t5 15 15 t !\"L=L '\"1r61.11=6-L16 - 5\\4.624 \" ll L a. Cuboid b. Spherc d. Cylinder -21 2t 21 e. cuboid t Cube ^.5 3 2 12 12 12 --t5ltl5t56 5 -\"t7I _t1q=_tL1 \"1 a- .l5r . -^4.21 r_L 2. a. corc b. Sphere c. Cylinder d. Cube 62l00,ll \"2t 1l 4. a. 6 fac6, 8 vertices and 12 edges 1. 1 b. 6 faces, 8 vertic€s and 12 edges 4. ikc = l kc c. 3 faces (2 flal I cuwen), 2 edg€s and no v€riex -.'\"ll_{ r-2.!11 -\"2-tL _All!. ^-2t1 d. 2 faces (l flat, I curved), I edge and I venex 5 0 ' 15 21 i: i6. Mondar ofa chocobte 2. a. Oletr curve b. Closed cwe c. closd cwe d OpeD cufle e. OpeD cwe -\"|l 8 ^\" 69 2 lg,sl ri,.\"a\"r,$=| pa 3 6. a. 6 faces, 8 vertics dd 12 edges Eftrcile 6.4 b. 2 faces (l flat, I cwed), I edge dd I vertex r . r! -r,'5rl \"|- d.6; c. 3 faces (2 flat, I curved), 2 edg$ and no venex . .l s. 8l h.4; i4i d. 6 faces,8 venices ud 12 edges d. 16cm b.T r.\"f ,t 1! 8. a. 8cm b. l2cm c. locm e. 30cm f. 42 sa o.^. 3+.+ b 5+,+ \" 5+,+ 9. 38 cm 10. l5m

Chapter 8 Exercise8.l 1. d^..2622gko8248m69g9 b. 32 kg895 mg c. 548568n9 e. 104 g loq mg l. 18t22;26 b. 25;30;35 8. 137 g ll5 mg h. 169 kg 768 ng I l0l kg 507 e d. J55i455i555 ^c.. 16,4 r 4t25,5 / 5t )6,6 / 6 2. a.2lg?o{g b.6kgl4tg c. og52l mg d. l4g650mg e.20g90lmg I l5kgl2lg 2. a. 9i 12: 15 b. 100; 3000i 30000 c. 60;60i 60 9.369240m9 h. 56 kg 900 mg d. 110; lll0t llll0 3. a. 1234321t 123454321 b. 303;404;505 3.3kg665g 4. 1047g617mg 5. 10k99429 c. 1234,4i 12345,5 d. 16-9 = 7t25 - 16= 9;36 25=11 Exercise 9.5 'l.a.2L 4. a. 1200i 12000; 120000 b. 2000i 200;20 b.3L30mL c.4L280mL d.5L500mL e.6L785mL f.7L575rJ- c. 3200;32000j 320000 d. I I li I lll; ll lll 980mL h.9lL250mL i.24L35lmL L k.84L735mL l.93L734mL j9.. 34 L 548 mL 73 2. a. 50t 50;50 b.3;4;5 2. a. 32000mL b.42254itL c.48645 mL d.85000mL e.'72320mL f. 66150 nL g.97827mL h.95566mL Chapter 9 i. 83736mL j.'7781'tlJ,L k 82991mL l.91450mL Exercise 9.r Erercise 9.6 l a.23m50cm b.43m20cm c.55ml0cm l. 214L648 nL b. 388LI89mL c. 600L589mL d. l8m88cm e.63m5cm l84n d^. 587 L765 nL e.749L377mL I 945 L665 mL js. -9868mm7s7ccmm h.96m25cm i.73n63cm k.94n80cm l.99m12cm 2. l'7 L58mL b. l00L8l5mL c. 94L84mL ^d..32lL863nL e. l94L36lmL f. ll0L30lmL 2. a. 32kn48m b.23km200m c.54km765m d.28kn8m e.65kn25ln t87knl25m 3. 769L 16l mL 4.431L215mL jg. .28l0kkntr375070mIn h.97km500m k. 98km677m i. 36hn5l7m l:tr<'\"_r<'\">nn -\"r\" '.\"r\"_>\"n-n-r_ l- 92km837m 3- a- 23l0cm b.3522cm c. 10,t42 cm d. l2555cm e.43400cn t 75270cm h. 34245 cm i. 87700 cm Bk..9686676l26ccmm l.64795cm ti c. ii d. iii j.95600cm c. 8km446m 4. a.22330m b. 23000m c. 3l1l0m d. 35550m me. 76600 jf..87l282l73n2n g.74031m h.97707 n 3. 14 kg l00g 4. 63 m 30cm l544cn5tm i. 93657m k.94884m i. lg400mg L97160m 5. a. 44m30cm b. 3l m l2cm d.7L535mL e.5g68lmg l-941cn5mn 5. a. 3m4cm b.4km200m g.6kgl24g h. 1L927 mL c. 1920 cm j.2l7cm3inm k.4m4lcm d. 14342 n m6. 12 km 562 7. l2430mm 8- 7,234 m mL6. a. 58 L996 b. 29 km 561 m [!€rcise 9.2 L a.35cm5mm b.28nl0cm c. 27 km 340 m l. a. I kgglog b. yes c. 160 mL d. 78 cn e. l0l7m75cm il 890 km 302 d d. 20 2. a. 16cm3mm b. 14m96cm c. 16 km 796 m Chapter 10 d. l4cm6mn e. 412 m 60 cm i: t53 km 6l m Elercis€ 10.1 3. 502 mm= 50cm 2 mm L b. 52n ..22i\\ d. 20n 2. a. 18cn b. 18cm c. 20cm 5. 334 m 45 cm !916 kn; 42 kn I 128 cn i 20 cm g.20cm h.20cm f,lercire 9.3 4. a. 56cn b.47cm c.30cm e. 22 cm L a. 220009 b. 350009 ..521208 d. 111008 t 218 n e. 134 m gC. 5. a. locm b. 8cD c. 9cm e. 54032 g f. 4444 e.67606e h. 73330s 6. 136 cm 7.70nl. k.931209 1.99543s i. 82251 g j. 90000 2. b.4kg4g c.8k220g d.4ks500s e^..35kkgg422530eg t 8kg750g s.2kgl0g h.6kg42s i.4kg j. 8kg700g k. 9kg505g l. 9kg621s 3. a. lg223mg eb..259g63253ii4en. g .. 3 A524 mA Ex€rcis€ 10.2 d. 5 g43l ng mgh. 6 g ?45 f.6g546mg cml. a. 48 sq. b. 56 sq. cm c.40sq-cm d. 32 sq. cm k.8g254mg je..67geZ33a44mngs i. 7 9463 mg Ele.cire 10.3 l. 9 9453 ng l. a. 8 sq. cm 4. mg mgb. 18243 e. l7 sq. cm b. 8 sq. cm e^.. 12132 mg I s5987 ms c. 25287 d. 34765 mE 42453 88927 m9 2. a. l0 sq. cln t ll sq. cm ng j. 9.65837mg h.75923Ds e. 6 sq. cm i- 86876 ng k- 9l876mg 1.97175 ing b. 8 sq. cm I 14 sq. cm

L5 30 sq. cm; Humanily 2. a. t 129.15 b. t 153,20 c, 1217.26 d. ? 566.76 c. (135,e0 i Il2ll,t0 l. a. 23 sq. cm b. 16 sq. cm i3. I883.75 4, i24t,J0 I It50 6. 14il2,25 e. 20 sq. cm i 14 sq. cn Exercise 12,2 ', 2. a. 30cm e. 67 cm b. l20cm c. 22 .m d. 153 cm t. < 9t2 b. ( I452,20 c, l allt,2, 5. 981m l.||!^d.. < 53,239.25 e. I r,re,lte4,2! f, 3. 120 cm f. l'74 cm ,t0 4.74n 2. a. < 29.15 b. f 68.22 c. ?44,78 d, I tt,1l e. { 203.0r f. I 1070 l.66units 2. 12squits 3. Rest room; 9 sq units 3. { 1020 4. I105.l0 5. { 13524 4. ll sq mits 5. 18 unils 6. 206 sq unih 6- <275.t0 Ug a.{55 b. ? 102.50 Chapter 11 Exercise 12.3 Ex€rcis€ ll.l l. a 1213.50 2. ( 1553.50,t.l46.50 l. a. 2:38 b. 2:55 c. 7-21 d. 9:02 e. 9:15 LSLl ll23.so Exercise ll.2 l. 1384 2. < 1157.50 3. {248.50 4. | 227.50 5. T 502.75 6. l5l 1 a. a.m.,p.m. b. a.m.,p.m. c. a.m.,p.m. d. a.m.,p.m. a. < 3,20,000 b. 12.70,000 c- < 1,42,500 2.a ti h vi, c. iir d.v eiv f.i 8. ti d. {40,000 e. 190,000 t < 2,30,000 3. a.06:30hous b. 18:30hours c.2l:30hou6 d. 19:30hours e.00i30hous t 00:00hours f,xercise ll.3 l. a.2h30min b.5h20min c. l3h2nri') Chapter 13 d. 2h l0min e. 4h 15min g.2hl0min h.9h12min i Bh f,x€rcise l3.l L a. Sleeping b. l4hours 2- 30min 3. th lyEl rs 'ni trrcs 2. a. TY L a.83days b- 34 days c.60dnf d. l26dtrys b. Microwave oven andAc;25 2. a.48days b- 34 days c.67dnF .1,2r)4dtrys 3. a. True b. False 3. 5l days 4. 33 days Lh:r9E1l _,rr)<_- 'h4l {5. a. 12.01.1980 b. 23.04.2009 10.12.2024 1. a. 2:25 p.m.; 14:25 hours b.6120p,r,i l8r2{)lrours c. 1250 c. 9:05 p.m.:21:05 hours d. l0rlrn,ni l(lrl5l$urr c. p,m, d, l nr, 2. a. p.m b. a.m. l. a. 60 children b. Network c. 50 children l. 2l dc)s 4 5 50 p.m. 5. 2100 hn lo lyo r d. Discover e. Nicky 6. a. 16:06 hours b. 00:34 hour| c, 22r51 llorrrri 2 a. 55 plates b. Panee. wrrp c.'15 d. Hotd0t d. 2l:33 hou6 e. 08103houl8 8. a. 1:56p.m. b. 9:200.m. c, l0rll)l'r,rrr, L E-skills 2. Science& Etrglish 3, Truc d.6:40p.m. e. l2r16&m, f, lltloi,tn, 9. ^c..301.50.082.2.1071757 b,24,0!,t0|i0 d,0I.09,101t a. 2 houB 20 inulci b, 10100 iN t0 6||lllID L a. False b. Like d, 5,41,000 d, It houfi c. 22:30 hourg e. l3 f_2 g. 480 h?+ Chapter 12 i. 99,999 .J. 82 [xercise l2.l 2.78125 3.23&2s 4. 14,se6 r lo!,ft,{i,ll 1. a. 1258.25 b. ?407,77 6. HCF+8 7. LCM + 48 d. 1649.63 e. 14193.83 !, l r!0, 8. One lakh fou thousmd two hudrcd twelve ti I t00t0,ar 9. ?,00,000+4,000 +500 + 90+ 7i 7.00.000& 7

10. 5825 1r+ 12. { 26,300 2. a.0 b. PQ c. OP d. oR +3718 6. 1239.90 3. l0 n 32 cm 4. 16 sq. cm 5. 122 days 9563 '7.2L450nL 815313. 4 14. 10,272 apples 9. Week + 882 rMonth 3780 B.+.+.+.+t +.\\+ 15. 2l rows 17. 12,24,36 Yed -+ 46,116 21. 12 biscuits 19.54roses 20. 498 stamps 10. 3 kn400m 11.1k925oB 22. HCF -., 4 t2. S.No. Item Rte Qurndty LCM J 480 { 23.7 26,185 I 1.50 2l 2. 12.25 49 1. e^..2( 4521.60 b. Ecm c. l2O2 B d.2,22 3. BotLle 28.40 142 Total 2t2

@ Log on to our onlinellathr portai now available ex.lusivelywith the book for more practice Fssioni, + l oreMaths is a diagnostic question bank for ctasses 4-10 with over 10000 questions. it ,\\loreMaths evaluates a child's teaming and suggests remedial measures to fitl up learning gaps. + The ouestions in l,loreMaths are r tisted toDic wise r graded as per difficutty tevet of Difficutt, Medium and Easy r tagged to tearning outcomes of Xnowtedge, Understanding, Apptication and Synthesis t have marks alLocated to them .|. MoreMaths altows students to gmerate practice sheets from the portaL and practise on their own. + l oreMaths is supported by stide shows, animations and videos to enharrce learning. |{olhs Ypr\"ss 'a\\ 'a::xsil:i t\\7u \"6j I ?\\ 9\\ Ll B 3-. ;-i il 3/ d/ wMao47zpagzt1 3l l 473853€40772st Mac-Genie, Anytime! Anywhere! At your Pace! Macmiltan Education brings you a must-have educational app 'Mac'Genie. l ac-Genie provides you with an array of fun-fitted, interactive exercises on mathematics and Engtjsh grammar on your smartphones for learners between 5 and 14 years. Yor] can now access the app at home, on the Why Mac-Genie? > Provides high-quatity practice exercises such as MCQS, gap-fitts and matching > Inctudes quick tips to soLve maths probtems > Gives step-by-step feedback to each sotution

Maths Xpress for Oasses I to 8 has been developed by Factising teach€rs afld madts experts. Based on the lat€st pedagogical approach€s to teaching mathematics, the series prol'rdes a strodg mathematical focus and plenty ofopportunities for Continuous and cofirprehensive Evaluation. The series is based on the premise that all shrdents can become powerfirl mathematical learne$. S-Decial Features . Leds Rccall recapitulates prevrous knowledge of concepts . Maths A$und U6 helps students apply mathernatical concepts in real-lif€ situations . HOTS[arg€t Olympiad/Problem Solving empovre$ stud€nts to think out-of-the-box . Speed Maths/Mental Maths prepares students to carry out quick calculations . Tak€ Carc helps studenls avoid common errors . Maths Lab Artivity and Proi€ct connect maths ririth real-life situations . Fun With Maths and Maths Game reinforce the concepts taught in a fun way . Enrich Yours€f provides ileeper insight into the conc€pt under study . Revision Station helps students in assessing their understanding ofthe concepts learnt . WorLsheet helps in reinforcing the concepts learnt . Glossary serves as a ready rcference . Practice Sheets aid in comprehensive evaluation . Maths Engine indudes tasks that foster creative thinking and problem-solving skills.among students About the Authors Dr Reyathy Param€swirad, vice pdncipal of P S. Senior Sec School is also the recipient of Distinguised Fullbright award for teaching. She is also the recipient ofTeacher of Outstanding Merit Award 2010 by Ramanujan Maths Academy. She has 24 years of teaching expe ence and enioys conducting workshops. Her work has b€en published in International journals. Usha Varadarajan is former Vice Principal ard HOD Matlemati6 in P S. Senior Seconalary School, Chennai. She has more than 30 years ofteaching experience. A highly motivated teacher, Ms Varaalaraian has conducted workshops on 'Maths LaD' and 'Maths Activity' for CBSE schools. She was a resource person of the Association of Mathematics Teachers of India in conducting wod<shops on non-routine problem solving. She is also th€ recipient ofan award for Long and Meritorious Service for the cause of maths education ftom Snnivasa RamanuiaD Academy for maths talent. IA tr5 trya Visit http//wwwmoremaths.macmillaneducation.in Macmillan Publlshers Indla Pvt Ltd, tiltfitffit[till www.macmillaneducation.in