Question 1

下列那一個數在數線上的位置最接近-1？

Accepted Answer

$\frac{-4}{5}$

Answer

$\frac{-3}{4}$

Answer

$\frac{-1}{2}$

Answer

$\frac{-2}{3}$

Question 2

已知 $\frac{3}{甲}$=$\frac{乙}{4}$=$\frac{-3}{4}$，則下列敘述何者正確？

Accepted Answer

甲+乙=-7

Answer

乙=3

Answer

甲=4

Answer

甲+乙=-1

Question 3

下列何者為最簡分數？

Accepted Answer

$\frac{33}{26}$

Answer

$\frac{-37}{185}$

Answer

$\frac{-26}{91}$

Answer

$\frac{51}{18}$

Question 4

下列那一個算式的值最大？

Accepted Answer

-5$\frac{1}{6}$ - ($\frac{-5}{3}$ - 3)

Answer

-5$\frac{1}{6}$ - ($\frac{-5}{3}$ + 3)

Answer

-5$\frac{1}{6}$ - ($\frac{5}{3}$ + 3)

Answer

-5$\frac{1}{6}$ - ($\frac{5}{3}$ - 3)

Question 5

若甲為 ( -7 + $\frac{1}{8}$ )，乙為 -7$\frac{1}{8}$，丙為 ( -7 - $\frac{1}{8}$ )，則甲、乙、丙的大小關係為何？

Accepted Answer

甲 > 乙 = 丙

Answer

甲 < 乙 =丙

Answer

甲 = 乙 =丙

Answer

甲 = 乙 >丙

Question 6

下列算式的結果，何者錯誤？

Accepted Answer

$\frac{1}{4}$ + $\frac{4}{5}$ = $\frac{5}{9}$

Answer

- $\frac{5}{7}$ - $\frac{2}{7}$ = -1

Answer

$\frac{3}{7}$ - $\frac{1}{2}$ = - $\frac{1}{14}$

Answer

-4 - $\frac{5}{6}$ = -4 $\frac{5}{6}$

Question 7

將 $\frac{8}{9}$ 的分子與分母同時減去1，其值會如何改變？

Accepted Answer

變小

Answer

不一定

Answer

變大

Answer

不變

Question 8

下列觀念何者不正確？

Accepted Answer

- $\frac{21}{100}$ > - $\frac{21}{1000}$

Answer

- $\frac{4}{23}$ > - $\frac{12}{23}$

Answer

-2 $\frac{2}{5}$ < -2 +  $\frac{2}{5}$

Answer

- $\frac{5}{14}$ < - $\frac{6}{21}$ < - $\frac{8}{35}$

Question 9

比 -3$\frac{1}{2}$ 小 $\frac{2}{3}$ 的數為何？

Accepted Answer

-4$\frac{1}{6}$

Answer

-2$\frac{1}{6}$

Answer

-2$\frac{5}{6}$

Answer

-5$\frac{1}{6}$

Question 10

下列那個數最大？

Accepted Answer

-5$\frac{1}{81}$

Answer

-5.8

Answer

-5$\frac{1}{8}$

Answer

-5.81

Question 11

若 a=$\frac{3}{4}$，b=$\frac{8}{9}$，c=$\frac{10}{11}$，則 a、b、c的大小關係為何？

Accepted Answer

c > b > a

Answer

a > b > c

Answer

b > a > c

Answer

c > a > b

Question 12

將 $\frac{63}{18}$ 的分母減6，則分子減去多少後，分數的值不會改變？

Accepted Answer

21

Answer

7

Answer

14

Answer

28

Question 13

下列那一個數的值與其它數不同？

Accepted Answer

$\frac{14}{30}$

Answer

$\frac{18}{45}$

Answer

$\frac{2}{5}$

Answer

$\frac{6}{15}$

Question 14

30若甲數為負整數，且 -$\frac{4}{5}$ < $\frac{甲}{30}$ < -$\frac{4}{6}$，則符合這個式子的甲數共有幾個？

Accepted Answer

3個

Answer

4個

Answer

2個

Answer

5個

Question 15

下列那一個數介於 -$\frac{3}{7}$ 與 -$\frac{1}{7}$ 之間？

Accepted Answer

-$\frac{1}{5}$

Answer

-$\frac{1}{9}$

Answer

-$\frac{10}{21}$

Answer

-$\frac{4}{7}$

Question 16

若 a = -$\frac{3}{2}$，則下列何者的值最小？

Accepted Answer

a

Answer

$\frac{1}{a}$

Answer

$a^2$

Answer

$a^4$

Question 17

有關最簡分數的敘述，下列何者錯誤？

Accepted Answer

最簡分數的分子一定是1

Answer

若兩分數化為最簡分數後相等，則兩分數相等

Answer

欲將分數化為最簡分數，可以將分子及分母同時除以分子與分母的最大公因數

Answer

最簡分數的分子和分母一定互質

Question 18

甲、乙、丙三人合起來吃一塊蛋糕，甲先吃 $\frac{5}{12}$，再由乙吃 $\frac{1}{3}$，其餘由丙全部吃完，請問誰吃的最多？

Accepted Answer

甲

Answer

乙

Answer

丙

Answer

一樣多

Question 19

設 a = $\frac{1}{6}$，b = -$\frac{5}{8}$，則下列各數中何者最小？

Accepted Answer

| a | - | b |

Answer

| a | + | b |

Answer

| a - b |

Answer

| a + b |

Question 20

下列那一個數字的值介於 $\frac{5}{6}$ 和 $\frac{7}{8}$ 之間？

Accepted Answer

$\frac{41}{48}$

Answer

$\frac{17}{24}$

Answer

$\frac{43}{48}$

Answer

$\frac{19}{24}$

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