甘肅省小學(xué)六年級(jí)上學(xué)期數(shù)學(xué)計(jì)算題專項(xiàng)競(jìng)賽試卷一、直接寫出得數(shù)（共10小題，每小題1分，共10分）(\frac{3}{4}+\frac{1}{6}=)(0.75-\frac{1}{3}=)(5.6\times\frac{5}{7}=)(\frac{9}{10}\div\frac{3}{5}=)(3.2\div0.08=)(\frac{5}{8}\times1.6=)(1\div\frac{7}{12}=)(\frac{3}{4}\times\frac{2}{3}\div\frac{3}{4}\times\frac{2}{3}=)(0.4^2=)(\frac{7}{9}-\frac{7}{9}\times0=)二、脫式計(jì)算（共15小題，每小題3分，共45分）(\frac{5}{6}+\frac{7}{12}-\frac{1}{3})(3.6+2.4\div\frac{3}{5})(\frac{8}{9}\times\left(\frac{3}{4}-\frac{1}{2}\right))(12.5\times3.2\times0.25)(\frac{7}{15}\div\frac{14}{5}+\frac{2}{3})(4.8\times\frac{5}{6}+5.2\div\frac{6}{5})(\left(\frac{3}{8}+\frac{5}{12}\right)\times24)(7.2-\frac{3}{5}\div0.3+1.8)(\frac{9}{10}\times\left[\frac{5}{6}\div\left(\frac{7}{9}-\frac{1}{3}\right)\right])(36\times\left(\frac{1}{4}+\frac{1}{6}-\frac{1}{9}\right))(0.625\times\frac{4}{5}+\frac{5}{8}\div5)(15.6\div\left[0.8\times(3.2-2.95)\right])(\frac{3}{4}\times\frac{5}{7}+\frac{3}{4}\times\frac{2}{7}+\frac{3}{4})(10-\frac{1}{2}\div\frac{3}{4}-\frac{1}{3})(\left(\frac{5}{7}\times\frac{4}{9}+\frac{4}{9}\times\frac{2}{7}\right)\div\frac{4}{21})三、解方程（共10小題，每小題3分，共30分）(x+\frac{2}{5}x=21)(\frac{3}{4}x-\frac{1}{2}=\frac{5}{8})(1.2x-0.8x=4.8)(\frac{5}{6}x\div\frac{3}{4}=\frac{10}{9})(3x+1.5\times4=18)(\frac{2}{3}x-\frac{1}{4}=\frac{1}{2})(0.75x+25%x=6.4)(\frac{3}{5}:x=\frac{3}{4}:\frac{5}{6})(4(x-2.5)=18)(\frac{x}{8}=\frac{3}{4}:\frac{1}{5})四、列式計(jì)算（共5小題，每小題4分，共20分）(\frac{3}{4})與(\frac{1}{2})的和乘它們的差，積是多少？一個(gè)數(shù)的(\frac{2}{3})是18，這個(gè)數(shù)的(\frac{5}{9})是多少？12.5減去3.6與2.5的積，所得的差再除以0.5，商是多少？比24的(\frac{5}{6})多(\frac{1}{4})的數(shù)是多少？一個(gè)數(shù)的(\frac{3}{5})比它的50%多12，這個(gè)數(shù)是多少？（列方程解答）五、簡(jiǎn)便計(jì)算（共10小題，每小題5分，共50分）(\frac{7}{13}+\frac{5}{11}+\frac{6}{13}+\frac{6}{11})(1.25\times0.7\times80\times4)(\frac{5}{9}\times\frac{7}{12}+\frac{5}{12}\times\frac{5}{9})(9.9\times4.5+0.45)(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32})(3.6\times99+3.6)(\frac{13}{17}\times\frac{11}{19}+\frac{13}{19}\times\frac{8}{17})(8.4\div0.56-0.84\div0.056)(\frac{1}{4}\times39+\frac{3}{4}\times25+\frac{26}{4}\times\frac{3}{13})(1999\times\frac{1997}{1998})六、解決問題中的計(jì)算（共8小題，每小題6分，共48分）某小學(xué)六年級(jí)有學(xué)生120人，其中(\frac{3}{5})參加了數(shù)學(xué)競(jìng)賽，參加競(jìng)賽的學(xué)生中有(\frac{1}{3})獲得了獎(jiǎng)項(xiàng)，獲獎(jiǎng)的學(xué)生有多少人？一個(gè)長(zhǎng)方形的長(zhǎng)是(\frac{5}{8})米，寬是長(zhǎng)的(\frac{4}{5})，這個(gè)長(zhǎng)方形的面積是多少平方米？一堆煤有24噸，第一次運(yùn)走了(\frac{1}{4})，第二次運(yùn)走了剩下的(\frac{2}{3})，第二次運(yùn)走了多少噸？修一條長(zhǎng)1800米的公路，第一天修了全長(zhǎng)的(\frac{1}{5})，第二天修了第一天的(\frac{5}{6})，兩天一共修了多少米？某工廠計(jì)劃生產(chǎn)一批零件，原計(jì)劃每天生產(chǎn)120個(gè)，15天完成，實(shí)際每天比原計(jì)劃多生產(chǎn)(\frac{1}{4})，實(shí)際多少天完成任務(wù)？學(xué)校圖書館有故事書800本，科技書的本數(shù)是故事書的(\frac{3}{4})，又是文藝書的(\frac{5}{6})，文藝書有多少本？一個(gè)長(zhǎng)方體的長(zhǎng)、寬、高分別是(\frac{3}{4})米、(\frac{2}{5})米和(\frac{5}{6})米，這個(gè)長(zhǎng)方體的體積是多少立方米？甲、乙兩車同時(shí)從兩地相對(duì)開出，甲車每小時(shí)行60千米，乙車每小時(shí)行的路程是甲車的(\frac{4}{5})，經(jīng)過(\frac{3}{2})小時(shí)兩車相遇，兩地相距多少千米？七、拓展提高計(jì)算（共7小題，每小題8分，共56分）計(jì)算：(\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+\cdots+\frac{1}{9\times10})計(jì)算：(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99})已知(a+\frac{1}{a}=5)，求(a^2+\frac{1}{a^2})的值。若(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\cdots\times\frac{n}{n+1}=\frac{1}{2023})，求n的值。計(jì)算：(\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)\times\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}\right)-\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}\right)\times\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right))定義新運(yùn)算：(a\triangleb=a\timesb-a+b)，求(3\triangle4+5\triangle6)的值。計(jì)算：(1+3\frac{1}{6}+5\frac{1}{12}+7\frac{1}{20}+9\frac{1}{30}+11\frac{1}{42}+13\frac{1}{56})八、遞等式計(jì)算（共10小題，每小題5分，共50分）(\frac{3}{8}+\frac{5}{12}+\frac{5}{8}+\frac{7}{12})(1.25\times32\times2.5\times0.5)(\frac{5}{9}\div\frac{5}{7}+\frac{4}{9}\times\frac{7}{5})(4.6\times9.9+0.46)(\frac{1}{2}\div\left[\left(\frac{2}{3}-\frac{1}{4}\right)\times\frac{6}{5}\right])(7.8\div\left(1-0.96\right)\times0.06)(\frac{7}{12}\times\frac{3}{4}+\frac{5}{12}\div\frac{4}{3}-\frac{3}{4})(100-25.6-24.4+18.5)(\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)\times24)(\frac{3}{5}\times\frac{1}{6}+\frac{2}{5}\div6+\frac{1}{6})九、分?jǐn)?shù)、小數(shù)混合運(yùn)算（共10小題，每小題4分，共40分）(0.75+\frac{5}{8})(3.5-\frac{7}{12})(2.4\times\frac{5}{6})(\frac{3}{4}\div0.6)(1.25+\frac{3}{4}-0.5)(4.8\div\frac{4}{5}+5.2\times\frac{5}{4})(0.375\times\frac{2}{3}+\frac{5}{8}\times\frac{2}{3})(7.2\times\frac{3}{4}-2.8\div\frac{4}{3})(\frac{5}{6}\times1.8+\frac{1}{3}\div0.5)(10-\frac{3}{4}\times1.6-7.8)十、化簡(jiǎn)比并求比值（共5小題，每小題4分，共20分）(\frac{3}{4}:\frac{5}{8})（化簡(jiǎn)比）(0.6:1.5)（求比值）(25:15:10)（化簡(jiǎn)比）(\frac{1}{2})小時(shí):45分鐘（化簡(jiǎn)比并求比值）(\frac{3}{5}:0.75)（化簡(jiǎn)比并求比值）十一、分?jǐn)?shù)乘法與除法綜合計(jì)算（共10小題，每小題5分，共50分）(\frac{5}{6}\times\frac{3}{10}\div\frac{1}{4})(\frac{7}{8}\div\frac{14}{15}\times\frac{4}{5})(\frac{3}{4}\times\left(\frac{8}{9}\div\frac{2}{3}\right))(\frac{5}{9}\div\left(\frac{5}{6}\times\frac{3}{10}\right))(\frac{2}{3}\times\frac{3}{4}+\frac{3}{4}\div3)(\frac{7}{10}\div\frac{14}{5}-\frac{1}{4}\times\frac{2}{5})(\left(\frac{5}{8}-\frac{1}{4}\right)\div\frac{5}{12})(\frac{3}{5}\times\left(\frac{5}{6}+\frac{1}{3}\right)\div\frac{3}{4})(\frac{4}{9}\div\left(\frac{1}{3}+\frac{1}{6}\right)\times\frac{3}{4})(\frac{5}{7}\times\frac{1}{4}+\frac{3}{4}\times\frac{5}{7}+\frac{5}{7}\times\frac{1}{2})十二、小數(shù)四則混合運(yùn)算（共8小題，每小題5分，共40分）(3.6+2.4\times5-8.6)(12.5\times0.8\div12.5\times0.8)(4.5\div(1.5\times0.2)+3.7)(0.75\times1.6+1.4\times0.75+0.75)(10-0.34-0.66+2.5)(7.2\div[(1.25+0.25)\times0.4])(3.6\times(1.2\div0.8)-4.5)(0.25\times4.8+5.2\div4)十三、簡(jiǎn)便運(yùn)算專項(xiàng)訓(xùn)練（共10小題，每小題3分，共30分）(25\times3.6)(1.25\times8.8)(4.8\times99)(7.2\div0.125)(\frac{5}{7}+\frac{3}{10}+\frac{2}{7}+\frac{7}{10})(\frac{8}{15}-\frac{1}{7}-\frac{6}{7}+\frac{7}{15})(10.1\times3.5)(8.4\div3.5)(\frac{3}{8}\times\frac{5}{11}+\frac{5}{11}\times\frac{5}{8})(0.63\times101-0.63)十四、列式計(jì)算綜合訓(xùn)練（共5小題，每小題5分，共25分）(\frac{2}{3})與(\frac{1}{4})的差乘(\frac{12}{5})，積是多少？一個(gè)數(shù)的(\frac{3}{8})是24，這個(gè)數(shù)的(\frac{5}{6})是多少？2.5的8倍比一個(gè)數(shù)的3倍少2.1（列方程解答）8.4與3.6的和除以它們的差，商是多少？比一個(gè)數(shù)的(\frac{2}{5})多3的數(shù)是18，這個(gè)數(shù)是多少？（列方程解答）十五、綜合計(jì)算題（共10小題，每小題6分，共60分）計(jì)算：(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64})計(jì)算：(1-\frac{1}{2}-\frac{1}{4}-\frac{1}{8}-\frac{1}{16}-\frac{1