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Worksheets最大公因數與最小公倍數(高)
Total questions: 125
Worksheet time: 45mins
Name
Class
Date
1.
部隊師長點兵接近萬人 , 每 7 人一數餘 2 人 , 每 8 人一數餘 2 人 , 每 11 人一數餘 4 人,求最多 人。
(a)
2.
天文資料顯示, x 彗星每 24 年出現一次, y 彗星每 30 年出現一次, 已知西元 2026 年 x 彗星會出現,西元 2032 年 y 彗星也曾出現,
求下一次 x , y 同時出現於 西元 年。
(a)
3.
B 為三位數,它的百位數為6,已知 B+10 能被8整除, B-9 能被 11 整除,求A最小為
(a)
4.
毛利帶柯南去踏雪,一圓形花園,兩人同地方同方向沿同一路線先後出發,毛利 步長 70 cm ,柯南步長 42 cm ,有些腳印重和,走完一圈,雪地上有56 個腳印,求圓周長 cm。
(a)
5.
設A、B兩數都含質因數 2 和 5，最大公因數是 100，A 有 15 個因數、B 有 12 個因數 、求A+B=
(a)
6.
1.What _____ this late at night? It's noisy.
a)
A. is doing he
b)
B. is he doing
c)
C. he is doing
d)
D. he doing is
7.
2.Choose the correct sentence.
a)
A. What are you doing later?
b)
B. Later are you doing what?
c)
C. What you are doing later?
d)
D. Are you doing what later?
8.
3.Tom _____ TV.
a)
A. always watching
b)
B. watching
c)
C. is watching always
d)
D. is always watching
9.
4.Andy and his girlfriend _____ a walk in the park now.
a)
A. take
b)
B. taking
c)
C. are taking
d)
D. are take
10.
5.A: What are you doing? B: I _____ a picture of my dog.
a)
A. is taking
b)
B. am taking
c)
C. take
d)
D. taking
11.
1.A: What are you doing? B: I _____ a picture of my dog.
a)
A. is taking
b)
B. am taking
c)
C. take
d)
D. taking
12.
2.Tom _____ TV.
a)
A. always watching
b)
B. watching
c)
C. is watching always
d)
D. is always watching
13.
3.My mother _____ a book in the living room right now.
a)
A. read
b)
B. reading
c)
C. is read
d)
D. is reading
14.
4.He's ______ to the beach tomorrow.
a)
A. go
b)
B. is going
c)
C. going
d)
D. is go
15.
5.Jimmy is kicking the dog! He _____ it! He's so bad!
a)
A. is hurt
b)
B. is hurting
c)
C. hurting
d)
D. are hurt
16.
1.A: _____ the dog _____ right now? B: Yes, it is.
a)
A.Isn't; sleeping
b)
B.Is; sleeps
c)
C.Does; sleep
d)
D.Does; sleeping
17.
2.I _____ the bathroom right now. Call me back later.
a)
A.am clean
b)
B.clean
c)
C.am cleaning
d)
D.cleaning
18.
3.What _____ this late at night? It's noisy.
a)
A.is doing he
b)
B.is he doing
c)
C.he is doing
d)
D.he doing is
19.
4.Mom _____ dinner in the kitchen right now.
a)
A.is make
b)
B.is making
c)
C.making
d)
D.makes
20.
5.My mother _____ a book in the living room right now.
a)
A.read
b)
B.reading
c)
C.is read
d)
D.is reading
21.
1.I _____ the new movie a lot. It was a very good movie.
a)
A. enjoyed
b)
B. am enjoying
c)
C. am enjoyed
d)
D. was enjoyed
22.
2.I _____ with some of my friends over the weekend. It was a lot of fun.
a)
A. barbecue
b)
B. barbecued
c)
C. was barbecue
d)
D. were barbecue
23.
3.Where _____ Henry _____ the house keys this morning?
a)
A. did; put
b)
B. did; puts
c)
C. do; put
d)
D. do; puts
24.
4.Why _____ you _____ Mark to this party? Don't you like him?
a)
A. isn't; invited
b)
B. aren't; invite
c)
C. weren't; invited
d)
D. didn't; invite
25.
5._____ this chocolate cake? It's really delicious!
a)
A. Who is baking
b)
B. Who are baking
c)
C. Who baking
d)
D. Who baked
26.
1._____ going to bed, I read an English magazine.
a)
A. But
b)
B. Before
c)
C. When
d)
D. After
27.
2._____ you start cooking, you need to wash your hands.
a)
A. Because
b)
B. Because of
c)
C. After
d)
D. Before
28.
3.The students became quiet _____ the teacher came into the classroom.
a)
A. so
b)
B. after
c)
C. but
d)
D. before
29.
4._____ Gary goes to school, he eats breakfast at home.
a)
A. Before
b)
B. After
c)
C. So
d)
D. When
30.
5.Greg lived in the US _____ he moved to Taiwan.
a)
A. before
b)
B. after
c)
C. so
d)
D. because
31.
1.Julia _____ dinner for us yesterday.
a)
A.cook
b)
B.cooks
c)
C.cooked
d)
D.is cooking
32.
2.The dog jumped up _____ it heard a cat outside.
a)
A.when
b)
B.before
c)
C.because of
d)
D.so
33.
3.We _____ go to the beach yesterday; it was rainy all day.
a)
A.don't
b)
B.didn't
c)
C.wasn't
d)
D.weren't
34.
4.A: What happened? Your face looks so red! B: I got too much sun _____ I went to the beach.
a)
A.when
b)
B.before
c)
C.so
d)
D.but
35.
5.You wanted to have steak for dinner? Why _____ you tell me?
a)
A.was
b)
B.wasn't
c)
C.do
d)
D.didn't
36.
1._________go for a bike ride together later this afternoon.
a)
A. Let’s
b)
B. Why don’t I
37.
2._________ help you carry the trashcans out to the street?
a)
A. Let’s
b)
B. Why don’t I
38.
3.__________ go to the neighbors’ party. It should be fun!
a)
A. Let’s
b)
B. Let’s not
39.
4.__________ offer to help Elaine wash the dishes?
a)
A. Let’s
b)
B. Why don’t we
40.
5.___________ eat at this restaurant again. It’s horrible!
a)
A. Let’s not
b)
B. Why don’t we
41.
1.This soap ________ a little like lemons. I really like it.
a)
A. smells
b)
B. sounds
42.
2.We need to buy new towels. These ones ________ like sand.
a)
A. feels
b)
B. feel
43.
3.She _______ a little like her mother, but a lot like her dad.
a)
A. looks
b)
B. sounds
44.
4.Their new song ________ a lot like all their old songs.
a)
A. feel
b)
B. sounds
45.
5.Do you want to try my soup? It _________ a little like Vietnamese pho.
a)
A. tastes
b)
B. sounds
46.
1.It’s important to _______ 8 hours of sleep.
a)
A. get
b)
B. getting
47.
2.It’s not necessary to ________ a nap every day.
a)
A. taking
b)
B. take
48.
3.It’s normal to _________ all night.
a)
A. sleep
b)
B. sleeping
49.
4.It’s fun to ________ to the movies.
a)
A. going
b)
B. go
50.
5.It’s common to _________ weight in your 40s.
a)
A. gain
b)
B. gaining
51.
1.I didn't do well on the test because I didn't study _____.
a)
A. hardly
b)
B. hard
c)
C. in a hardly way
d)
D. in a hard way
52.
2._____ to look for food.
a)
A. The mouse quietly walked into the kitchen
b)
B. The mouse walked into quietly the kitchen
c)
C. The mouse walked into the quietly kitchen
d)
D. The quietly mouse walked into the kitchen
53.
3.When Ted jumped into the water, the fish _____.
a)
A. swam quick away
b)
B. swam in a quickly way
c)
C. quickly swam away
d)
D. swam in a quick way
54.
4.Vern looked at his watch and knew he would arrive _____.
a)
A. in a lately way
b)
B. in a late way
c)
C. lately
d)
D. late
55.
5.Henry _____ after seeing a good movie.
a)
A. walked happy home
b)
B. happy walked home
c)
C. walked happyly home
d)
D. walked home happily
56.
1.Norma's friend made a funny joke and _____.
a)
A. she loud laughed
b)
B. she laughed loudly
c)
C. she laughed in a loud way
d)
D. in a loud way she laughed
57.
2.I didn't do well on the test because I didn't study _____.
a)
A. hardly
b)
B. hard
c)
C. in a hardly way
d)
D. in a hard way
58.
3.The dog _____ when its owner called its name.
a)
A. happily jumped
b)
B. jumped happily
c)
C. happy jumped
d)
D. jumped happy
59.
4.Lisa _____ ever studies _____. She often gets bad grades.
a)
A. hard; hardly
b)
B. hardly; hard
c)
C. hard; hard
d)
D. hardly; hardly
60.
5.Charlie petted the dog and _____.
a)
A. it licked his hand happily
b)
B. it licked happily his hand
c)
C. happy it licked his hand
d)
D. it licked his hand happy
61.
1.Ben is sitting on the couch _____ in the living room.
a)
A. comfortable
b)
B. comfortably
c)
C. with a comfortable way
d)
D. in a comfortably way
62.
2.Vern looked at his watch and knew he would arrive _____.
a)
A. in a lately way
b)
B. in a late way
c)
C. lately
d)
D. late
63.
3.I _____ so I could watch TV sooner.
a)
A. finished my quickly homework
b)
B. finished my homework in a quickly way
c)
C. quickly finished my homework
d)
D. finished my homework in a quick way
64.
4.Charlie petted the dog and _____.
a)
A. it licked his hand happily
b)
B. it licked happily his hand
c)
C. happy it licked his hand
d)
D. it licked his hand happy
65.
5.The bird _____ and flew up into a tree.
a)
A. in a sudden way jumped up
b)
B. jumped up in a sudden way
c)
C. jumped suddenly up
d)
D. suddenly jumped up
66.
1.I didn't do well on the test because I didn't study _____.
a)
A.hardly
b)
B.hard
c)
C.in a hardly way
d)
D.in a hard way
67.
2.It's raining _____ hard today; I don't want to go out at all.
a)
A.pretty
b)
B.little
c)
C.much
d)
D.more
68.
3.Lisa _____ ever studies _____. She often gets bad grades.
a)
A.hard; hardly
b)
B.hardly; hard
c)
C.hard; hard
d)
D.hardly; hardly
69.
4.When Ted jumped into the water, the fish _____.
a)
A.swam quick away
b)
B.swam in a quickly way
c)
C.quickly swam away
d)
D.swam in a quick way
70.
5.Kevin closed the door _____ after he got into a fight with his girlfriend.
a)
A.in an angrily way
b)
B.angry
c)
C.angrier
d)
D.angrily
71.
1.The ______ student looked at the teacher and didn't know what they were saying.
a)
A. confuses
b)
B. confuse
c)
C. confusing
d)
D. confused
72.
2.The ______ father can't sleep because his daughter hasn't come back home.
a)
A. being worrying
b)
B. worried
c)
C. worries
d)
D. worry
73.
3.It's ______ when I walk home alone in the middle of the night.
a)
A. exciting
b)
B. interesting
c)
C. touching
d)
D. frightening
74.
4.A: What's wrong? B: Oh, I'm _____ of cats, and there are some cats in this restaurant. Can we pick another place?
a)
A. excited
b)
B. interested
c)
C. surprised
d)
D. scared
75.
5.My parents ______ my high grades on the final exams.
a)
A. were satisfied with
b)
B. were satisfying with
c)
C. were satisfied to
d)
D. were satisfying to
76.
1.The trip to the museum _____ Scott.
a)
A. bored by
b)
B. boring to
c)
C. was bored by
d)
D. was boring to
77.
2.The ______ father can't sleep because his daughter hasn't come back home.
a)
A. being worrying
b)
B. worried
c)
C. worries
d)
D. worry
78.
3.A: What's wrong? B: Oh, I'm _____ of cats, and there are some cats in this restaurant. Can we pick another place?
a)
A. excited
b)
B. interested
c)
C. surprised
d)
D. scared
79.
4.Sandy is ______ her little sistery endless questions.
a)
A. tiring for
b)
B. tiring to
c)
C. tired as
d)
D. tired of
80.
5.The ______ student looked at the teacher and didn't know what they were saying.
a)
A. confuses
b)
B. confuse
c)
C. confusing
d)
D. confused
81.
1.Sandy is ______ her little sistery endless questions.
a)
A.tiring for
b)
B.tiring to
c)
C.tired as
d)
D.tired of
82.
2.All of that work sounds really _____ to me; do I have to do it?
a)
A.tires
b)
B.tire
c)
C.tiring
d)
D.tired
83.
3.Do you believe it? The coach is scared ______ bugs, but I don't think bugs are frightening at all.
a)
A.to
b)
B.on
c)
C.of
d)
D.with
84.
4.My friend Vera is frightened ______ cockroaches; she cries loudly every time she sees one.
a)
A.in
b)
B.with
c)
C.of
d)
D.on
85.
5.My parents ______ my high grades on the final exams.
a)
A.were satisfied with
b)
B.were satisfying with
c)
C.were satisfied to
d)
D.were satisfying to
86.
1.We're really surprised _____ this bad news. Is it true?
a)
A.to
b)
B.over
c)
C.by
d)
D.with
87.
2.This TV program _____ young people.
a)
A.is excited about
b)
B.exciting about
c)
C.is excited to
d)
D.is exciting to
88.
3.The ______ father can't sleep because his daughter hasn't come back home.
a)
A.being worrying
b)
B.worried
c)
C.worries
d)
D.worry
89.
4.Hallie was bored _____ her old doll and wanted a new one.
a)
A.about
b)
B.in
c)
C.with
d)
D.at
90.
5.The speaker's ______ story moved me to tears.
a)
A.touched
b)
B.touching
c)
C.touches
d)
D.touch
91.
1.My uncle _____stinky tofu before.
a)
A. have eaten never
b)
B. has never eaten
c)
C. have not eaten never
d)
D. have never not eaten
92.
2._____ Ken arrived? The boss is waiting for him in the car.
a)
A. Have
b)
B. Has
c)
C. Is
d)
D. Was
93.
3.A: How long _____ here? B: Ten years, but I'm thinking about quitting.
a)
A. you will work
b)
B. will you work
c)
C. you have worked
d)
D. have you worked
94.
4.My aunt Cathy _____ to a foreign country. She hopes she can go abroad one day.
a)
A. never go
b)
B. has never been
c)
C. never went
d)
D. has never gone
95.
5.How long _____ in Tainan?
a)
A. have you lived
b)
B. have you live
c)
C. you live
d)
D. you living
96.
1.It has been five years since I _____ in Taichung.
a)
A. work
b)
B. worked
c)
C. have worked
d)
D. has worked
97.
2._____ Ken arrived? The boss is waiting for him in the car.
a)
A. Have
b)
B. Has
c)
C. Is
d)
D. Was
98.
3.A: How long _____ here? B: Ten years, but I'm thinking about quitting.
a)
A. you will work
b)
B. will you work
c)
C. you have worked
d)
D. have you worked
99.
4.How many times _____ that movie?
a)
A. have you watched
b)
B. you have watched
c)
C. has you watched
d)
D. you has watched
100.
5.I have _____ to Japan many times, and I think Tokyo Disneyland is my favorite place there.
a)
A. go
b)
B. went
c)
C. gone
d)
D. been
101.
1.I ________ access my email from home.
a)
A. couldn’t
b)
B. couldn’t to
102.
2.We _________ install all the software.
a)
A. were able
b)
B. were able to
103.
3.He _________ operate the remote control.
a)
A. couldn’t to
b)
B. couldn’t
104.
4.My friends _________ make a short film at home.
a)
A. were able to
b)
B. were able
105.
5.I could send email, but I _________ open my messages.
a)
A. wasn’t able to
b)
B. wasn’t able
106.
1.There are _____ eggs in the basket.
a)
A. two dozen
b)
B. dozen of
c)
C. dozen
d)
D. dozens
107.
2.There are ______ people working in this office.
a)
A. a hundred of
b)
B. hundreds
c)
C. hundreds of
d)
D. two hundreds of
108.
3.There are _____ people at the baseball game.
a)
A. thousands of
b)
B. two thousands
c)
C. a thousand of
d)
D. three thousands of
109.
4.Can you hand me _____ book over there, please?
a)
A. that
b)
B. this
c)
C. these
d)
D. those
110.
5.There are _____ students at my school.
a)
A. hundred of
b)
B. hundreds of
c)
C. hundred
d)
D. two hundreds
111.
1.This is my ______ favorite television show.
a)
A. mother's
b)
B. father's and mother's
c)
C. parents's
d)
D. fathers
112.
2.The room is full of ______ toys.
a)
A. my sons'
b)
B. son's
c)
C. my two son's
d)
D. sons's
113.
3.______ sister lives in Thailand.
a)
A. Joe and Jim's
b)
B. Joe's and Jim
c)
C. Joe's and Jim's
d)
D. Joes' and Jims'
114.
4.Can you hand me _____ book over there, please?
a)
A. that
b)
B. this
c)
C. these
d)
D. those
115.
5.Who are _____ people? I don't know them.
a)
A. their
b)
B. they
c)
C. these
d)
D. this
116.
1.There are ________ eggs. You don’t need to buy any more.
a)
A. a lot of
b)
B. much
117.
2.I don’t drink ________ coffee, just one cup.
a)
A. many
b)
B. a lot of
118.
3.I didn’t have _________ choices, so I just got some fast food.
a)
A. many
b)
B. much
119.
4.How ________ water does a dishwasher use for one wash?
a)
A. much
b)
B. many
120.
5.How ________ chickens does a British person eat in their lifetime?
a)
A. much
b)
B. many
121.
1.There’s too _____ rain.
a)
A. many
b)
B. much
122.
2.There are too _____ tourists.
a)
A. many
b)
B. much
123.
3.There are too _____ skyscrapers.
a)
A. much
b)
B. many
124.
4.There aren’t _____ cabs.
a)
A. enough
b)
B. much
125.
5.There are ______ parks here.
a)
A. enough
b)
B. much
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