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MathsChapter6SquaresandSquareRootswithAnswers

數(shù)學(xué)第六章平方和平方根1.ThePythagoreantripleswhosesmallestnumberis8:

1.畢達(dá)哥拉斯的最小數(shù)字為8的三元組:a)8,1617b)8,17,18c)8,15,17d)8,15,16Answer/Explanation回答/解釋Answer:(c)Explanation:ThegeneralformofPythagoreantripletsis2m,m2-1,m2+1

答:(c)說明:畢達(dá)哥拉斯三胞胎的一般形式是2m,m2-1,m2+1So,m=4

所以,m=4m2–1=42-1=16-1=15

m2+1=42+1=16+1=172.Whichofthefollowingisaperfectsquare?

2.下列哪一項(xiàng)是完全平方?a)1057b)625c)7928d)64000Answer/Explanation回答/解釋Answer:(b)Explanation:Thenaturalnumberswhichendwith0,2,3,7and8arenotperfectsquares.Hence,625isaperfectsquare.

答:(b)說明:以0、2、3、7、8結(jié)尾的自然數(shù)不是完全平方。因此,625是一個(gè)完全的平方數(shù)。25x25=6253.Whichofthefollowingwillhave6atunitplace?

3.以下哪一項(xiàng)在個(gè)位有6個(gè)?a)192b)112c)242d)132Answer/Explanation回答/解釋Answer:(c)Explanation:242=24x24=576

回答:(c)說明:242=24x24=5764.If5278issquared,thenwhatwillbeatunitplace?

4.如果5278平方后,那個(gè)位是多少?a)8b)7c)6d)4Answer/Explanation回答/解釋Answer:(d)Explanation:Ifwesquaretheunitdigitofthenumber5278weget:

回答:(d)說明:如果我們把數(shù)字5278的個(gè)位數(shù)字平方,我們得到:82=64Hence,attheunitplaceof52782thenumberis4.

因此,52782的個(gè)位數(shù)數(shù)字是4。5.Whatwillbethenumberofzerosinsquareof400?

5.400的平方,零的數(shù)目是多少?a)2b)3c)4d)6Answer/Explanation回答/解釋Answer:(c)Explanation:4002=400x400=160000

答:(c)說明:4002=400×400=160000,有4個(gè)0.6.Howmanynaturalnumbersliebetween92and102?

6.有多少個(gè)自然數(shù)介于92和102之間?a)17b)18c)19d)20Answer/Explanation回答/解釋Answer:(b)Explanation:Thenumberofnaturalnumbersbetweenn2and(n+1)2isequalto2n.

答:(b)說明:n2和(n+1)2之間的自然數(shù)等于2n。Here,n=9

因?yàn)閚=9Therefore,2n=2x9=18

因此,2n=2x9=187.Whatisthesumoffirstfouroddnaturalnumbers?

7.前四個(gè)奇數(shù)的和是多少?a)16b)17c)18d)20Answer/Explanation回答/解釋Answer:(a)Explanation:Thesumoffirstoddnaturalnumbers=n2

答:(a)說明:第一個(gè)奇數(shù)自然數(shù)之和=n2Here,n=4

這里,n=4So,n2=42=16

所以,n2=42=168.Thevalueof92–1isequalto:

8.92–1的值等于:a)81b)80c)79d)Noneoftheabove

a)81b)80c)79d)以上都不是Answer/Explanation回答/解釋Answer:(b)Explanation:92-1=81–1=80

回答:(b)解釋:92-1=81–1=809.Thesumof1+3+5+7+9+11+13+15+17+19is:

9.1+3+5+7+9+11+13+15+17+19之和為:a)121b)120c)100d)110Answer/Explanation回答/解釋Answer:(c)Explanation:Sumofnoddnumbers=n2

答:(c)說明:n個(gè)奇數(shù)之和=n2102=10010.Thesquareof42is:

10.42的平方是:a)1764b)1664c)1564d)1504Answer/Explanation回答/解釋Answer:(a)Explanation:422=(40+2)2=40(40+2)+2(40+2)

答:(a)說明:422=(40+2)2=40(40+2)+2(40+2)=402+40x2+2x40+22=402+40x2+2x40+22=1600+80+80+4=176411.Whichofthefollowingisnotasquarenumber?

11.下列哪項(xiàng)不是平方數(shù)?(a)4(b)9(c)16(d)24Answer回答Answer:(d)

回答:(d)12.Thesquareof23is:

12.23的平方是:(a)529(b)526(c)46(d)429Answer回答Answer:(a)

答:(a)13.Thesquareofwhichofthefollowingwouldbeevennumber?

13.下列哪一項(xiàng)的平方是偶數(shù)?(a)2826(b)7779(c)1057(d)131Answer回答Answer:(a)

答:(a)14.Thesquareofwhichofthefollowingwouldbeoddnumber?

14.下列哪一項(xiàng)的平方是奇數(shù)?(a)431(b)272(c)1234(d)7928Answer回答Answer:(a)

答:(a)15.Whichofthefollowingisaperfectsquare?

15.下列哪一項(xiàng)是完全的平方數(shù)?(a)45(b)81(c)18(d)54Answer回答Answer:(b)

回答:(b)16.Whatwillbethe“one’sdigit”inthesquareof1234?

16.1234平方的“個(gè)位數(shù)”是多少?(a)6(b)2(c)8(d)9Answer回答Answer:(a)

答:(a)4X4=1617.Whatwillbethenumberofzerosinthesquareof400?

17.400的平方中的零是多少?(a)5(b)1(c)3(d)4Answer回答Answer:(d)

回答:(d)18.Theperfectsquarenumberbetween30and40is:

18.30到40之間的完全平方數(shù)是:(a)35(b)39(c)36(d)32Answer回答Answer:(c)

回答:(c)19.Whichofthefollowingnumberwouldhavedigit6atunitsplace?

19.以下哪一個(gè)數(shù)字的個(gè)位處會有數(shù)字6?(a)192(b)242(c)252(d)132Answer回答Answer:(b)

回答:(b)20.Whichofthefollowingnumberwouldhavedigit5atunitsplace:

20.以下哪個(gè)數(shù)字的個(gè)位處有數(shù)字5:(a)952(b)592(c)242(d)422Answer回答Answer:(a)

答:(a)21.Whichofthefollowingnumberwouldhavedigit1atunitsplace?

21.以下哪一個(gè)數(shù)字的個(gè)位處會有數(shù)字1?(a)812(b)182(c)5422(d)952Answer回答Answer:(a)

答:(a)22.Howmanynaturalnumbersliebetween92and102?

22.有多少個(gè)自然數(shù)介于9之間2和102?(a)15(b)19(c)18(d)17Answer回答Answer:(c)

回答:(c)23.Howmanynonsquarenumbersliebetween112and122?

23.112和122之間有多少個(gè)非平方數(shù)?(a)21(b)23(c)22(d)20Answer回答Answer:(c)

回答:(c)24.25canbeexpressasthesumoffirst_________consecutiveoddnumbers.

24.25可以表示為第__個(gè)連續(xù)奇數(shù)的和。(a)(b)4(c)6(d)3Answer回答Answer:(a)

答:(a)25.Howmanynumbersliebetweensquareof12and13?

25.有多少數(shù)字在12和13的平方之間?(a)21(b)23(c)22(d)24Answer回答Answer:(d)

回答:(d)26.Whatwillbethevalueof?x?inPythagoreantriplet(6,8,x)?

26.勾股三元組(6,8,x)中“x”的值是多少?(a)5(b)7(c)10(d)11Answer回答Answer:(c)

回答:(c)27.Thesquareof-9is__

27.-9的平方是___(a)-81(b)81(c)18(d)-18Answer回答Answer:(b)

回答:(b)28.Thesquarerootof6400is__

28.6400的平方根是___(a)80(b)81(c)32(d)23Answer回答Answer:(a)

答:(a)29.Bywhichsmallestnumber90mustbemultipliedsoastomakeitaperfectsquare?

29.哪個(gè)最小的數(shù)字和90相乘才能成為一個(gè)完全的平方數(shù)?(a)10(b)2(c)5(d)3Answer回答Answer:(a)

答:(a)30.Bywhichsmallestnumber48mustbedividedsoastomakeitaperfectsquare?

30.為了得到完全平方數(shù),必須用哪個(gè)最小的數(shù)字被48除?(a)2(b)3(c)6(d)4Answer回答Answer:(b)

回答:(b)31.whichsmallestnumbershouldbeaddedto80soastomakeitaperfectsquare?

31.為了得到完全平方數(shù),哪個(gè)最小的數(shù)字應(yīng)該加到80上?(a)2(b)3(c)1(d)4Answer回答Answer:(c)

回答:(c)32.Whatcouldbethepossible“one’sdigit”ofthesquarerootof625?

32.625的平方根的個(gè)位可能是多少?(a)5(b)0(c)4(d)8Answer回答Answer:(a)

答:(a)33.Whichisthesmallestthree-digitperfectsquare?

33.哪一個(gè)是最小的三位數(shù)完全平方數(shù)?(a)100(b)101(c)121(d)144Answer回答Answer:(a)

答:(a)34.Whichisthegreatestthree-digitperfectsquare?

34.哪一個(gè)是最大的三位數(shù)的完全平方數(shù)?(a)999(b)961(c)962(d)970Answer回答Answer:(b)

回答:(b)35.Whichisthegreatest4-digitperfectsquare?

35.哪一個(gè)是最大的4位數(shù)的完全平方數(shù)?(a)9999(b)9990(c)9800Answer回答Answer:(a)

答:(a)36.Whichisthesmallest4-digitperfectsquare?

36.哪一個(gè)是最小的4位的完全平方數(shù)?(a)1024(b)1025(c)1000(d)1016Answer回答Answer:(d)

回答:(d)37.Whatwillbethenumberofdigitsinthesquarerootof25600?

37.25600的平方根的位數(shù)是多少?(a)3(b)2(c)5(d)4Answer回答Answer:(a)

答:(a)38.Whatwillbethenumberofdigitsinthesquarerootof1296?

38.1296的平方根的有幾位數(shù)?(a)2(b)3(c)1(d)4Answer回答Answer:(a)

答:(a)39.Thesquarerootof12.25is_______________.

39.12.25的平方根是。(a)3.5(b)2.5(c)35(d)25

Answer回答Answer:(a)

答:(a)40.Whatisthelengthofthesideofasquarewhoseareais441cm2?

40.面積為441平方厘米的邊長是多少?(a)21(b)22(c)20(d)12Answer回答Answer:(a)

答:(a)41.InarightangletriangleABC,rightangledatB,AB=6cm,BC=8cm,thenAC=____.

41.在直角三角形ABC中,在B處成直角,AB=6cm,BC=8cm,然后AC=___。(a)10(b)12(c)21(d)14Answer回答Answer:(a)6*6+8*8=10*10

答:(a)42.Whichleastnumbershouldbesubtractedfrom629soastogetaperfectsquare?

42.從629中減去哪個(gè)最小的數(shù)才能得到一個(gè)完全平方?(a)4(b)5(c)6(d)3Answer回答Answer:(a)

答:(a)43.Thesquarerootof1.21is___

43.1.21的平方根為___(a)1.1(b)11(c)21(d)2.1

Answer回答Answer:(a)

答:(a)44.Whatisthesmallestsquarenumberwhichisdivisiblebyeachofthenumbers6,9and15?

44.能被6、9和15整除的最小平方數(shù)是多少?(a)900(b)810(c)630(d)720Answer回答Answer:(a)

答:(a)(2*3*5)2=30*30=90045.Thesquareof1.2is____

45.1.2的平方是__(a)144(b)1.44(c)14.4(d)2.4

Answer回答Answer:(b)

回答:(b)46.The

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