Question 1

下列那一個數最小？

Accepted Answer

$(-\frac{2}{3})^3$

Answer

$(-\frac{2}{3})^5$

Answer

$(-\frac{2}{3})^2$

Answer

$(-\frac{2}{3})^4$

Question 2

-0.375的相反數與$-3\frac{1}{5}$的倒數之和為多少？

Accepted Answer

$\frac{1}{16}$

Answer

$\frac{5}{6}$

Answer

$-\frac{5}{6}$

Answer

$-\frac{1}{16}$

Question 3

計算 $\frac{3}{8} - \frac{3}{4} 	imes (-\frac{4}{3}) \div (-1.25) =$  ？

Accepted Answer

-0.425

Answer

0.425

Answer

-0.325

Answer

0.325

Question 4

下列運算何者錯誤？

Accepted Answer

$6 \div \frac{3}{4} = 6 \div 3 \div 4$

Answer

$\frac{5}{6} \div 5= 5 \div 6 	imes \frac{1}{5}$

Answer

$\frac{3}{7} \div 3= 3 \div 7 \div 3$

Answer

$\frac{2}{5} \div \frac{2}{3}= (2 	imes 3) \div (5 	imes 2)$

Question 5

若 a 是 b 的 $\frac{8}{3}$ 倍，且 a 為 $5\frac{3}{8}$ ，則可由下列那一個式子求出 b ？

Accepted Answer

$\frac{3}{8} 	imes 5\frac{3}{8}$

Answer

$5\frac{3}{8} + \frac{3}{8}$

Answer

$\frac{3}{8} 	imes \frac{8}{43}$

Answer

$\frac{8}{3} + 5\frac{3}{8}$

Question 6

有一棟大樓共有8層，每層高度都一樣，則從1樓爬到8樓的高度是爬到4樓高度的幾倍？

Accepted Answer

$\frac{7}{3}$

Answer

3

Answer

2

Answer

$\frac{9}{5}$

Question 7

計算 $(-\frac{5}{8})^4 	imes (1-2\frac{3}{5})^3=$？

Accepted Answer

$-\frac{5}{8}$

Answer

$-\frac{8}{5}$

Answer

$\frac{5}{8}$

Answer

$\frac{8}{5}$

Question 8

老板將蔥油餅分裝成小袋出售，每小袋裝 $1\frac{3}{5}$塊葱油餅。當老板快裝好時，發現還有 $11\frac{2}{5}$塊葱油餅，如果他照上面的規則把能裝袋的都裝完後，還剩下幾塊葱油餅？

Accepted Answer

$\frac{1}{5}$

Answer

$\frac{1}{8}$

Answer

1

Answer

$\frac{57}{40}$

Question 9

已知 $A=(-\frac{1}{2})^6$，$B=(-\frac{1}{5})^3$，$C=(-\frac{1}{3})^2 	imes \frac{1}{8}$，則A、B、C的大小關係為何？

Accepted Answer

A > C > B

Answer

C > A > B

Answer

B > A > C

Answer

A > B > C

Question 10

下列敘述何者正確？

Accepted Answer

-7的倒數是 $-\frac{1}{7}$

Answer

$2\frac{4}{9}$的倒數是$2\frac{9}{4}$

Answer

若兩數互為倒數，其乘積為 -1

Answer

任何數都有倒數

Question 11

計算 $\frac{6}{4} 	imes (-\frac{10}{12}) - [(-2)-\frac{4}{3} \div \frac{8}{9}]=$？

Accepted Answer

$\frac{9}{4}$

Answer

$\frac{11}{2}$

Answer

$\frac{11}{4}$

Answer

$\frac{81}{8}$

Question 12

下列敘述何者錯誤？

Accepted Answer

$(-5)^6 \div (-5)^2 = -125$

Answer

$(-\frac{2}{3})^6 \div (-\frac{2}{3})^4 = \frac{4}{9}$

Answer

$(-3)^4 	imes (-3)^2 = 3^6$

Answer

$3 \div 2 \div \frac{3}{2}= 1$

Question 13

一條繩子剪去繩長的 $\frac{1}{4}$後，再剪去剩下部分的$\frac{1}{4}$，此時剩下的部分是原來繩子的幾分之幾？

Accepted Answer

$\frac{9}{16}$

Answer

$\frac{6}{16}$

Answer

$\frac{8}{16}$

Answer

$\frac{7}{16}$

Question 14

某校的女生人數占全校人數的 $\frac{3}{8}$，且比男生少160人，則男生有多少人？

Accepted Answer

400人

Answer

452人

Answer

640人

Answer

360人

Question 15

甲的倒數是 3，乙的倒數是 $1\frac{2}{3}$，而丙 = 甲 + 乙，則丙的倒數是多少？

Accepted Answer

$\frac{15}{14}$

Answer

$\frac{13}{15}$

Answer

$\frac{3}{14}$

Answer

$4\frac{2}{3}$

Question 16

下列那一個數比它的相反數小，卻又比它的倒數大？

Accepted Answer

$-\frac{1}{5}$

Answer

-5

Answer

5

Answer

$\frac{1}{5}$

Question 17

計算 $\frac{5}{21} - \frac{2}{7} 	imes (\frac{1}{6} - \frac{1}{2})$

Accepted Answer

$\frac{1}{3}$

Answer

$\frac{2}{7}$

Answer

$\frac{4}{21}$

Answer

$\frac{2}{5}$

Question 18

$-\frac{6}{5}$、$\frac{10}{3}$、$\frac{7}{2}$、$-\frac{4}{5}$四數中，任取三數相乘使乘積最大，則乘積最大值為何？

Accepted Answer

$\frac{84}{25}$

Answer

$\frac{86}{15}$

Answer

$\frac{16}{5}$

Answer

$\frac{28}{3}$

Question 19

$\frac{5}{28}$ 的 ($-\frac{7}{10}$) 倍是 $\frac{1}{16}$ 的幾倍？

Accepted Answer

-2

Answer

2

Answer

$-\frac{1}{2}$

Answer

$\frac{1}{2}$

Question 20

若某數的 $\frac{2}{5}$ 倍等於 4 的 $\frac{3}{5}$ 倍，則某數為何？

Accepted Answer

6

Answer

$\frac{24}{25}$

Answer

10

Answer

8

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