2023年南外冲刺数学试卷小升初-优质版.pdf

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1、南外冲刺数学姓名 _ 本期主要数学术语的英语表述：prime number 质数decimal 小数approximate value近似值to the nearest 四舍五入natural number 自 然 数remainder 余 数multiple 倍 数divisor 约 数parallelogram平 行 四 边 形straight line直 线parallel 平 行lateral 边quadrilateral 四边形1.Calculate 计算 102(350+60 15)59 1 7=_.2.ABC were discussing（讨论）the problem of t

2、he addition（和）of two prime numbers.A said,“The addition of two prime numbersmust be a prime number.”B said,“The addition may not be aprime number.”Who was right?3.ais a four-digit decimal.The approximatevalue to the nearest is 4.68.Its maximumvalue is_.th4.There is a series of numbers:(1,1,1),(2,4,8

3、),(3,9,27),In the 1998group,we add the threenumbers and get a new number.The sum of the last two digits of the new number is _.5.A natural number bigger than 1 is divided by 442,297 and 210,and the remainders are the same.The natural number is _.6.The prices of ABC candies are 9,7.5,and 7 per kilogr

4、am respectively.Nowwe mix（混）5kilograms of candy A,4 kilograms of candyB,and 3 kilograms of candy C._kilogramsof this mixed candy can be bought with 10 yuan.7.A natural number is the multiple of 3 and 4.Ithas 10 divisors including 1 and itself.The naturalnumber is _.8.There are at most(最多)5 Sundaysin

5、 a month.Howmany months with 5 Sundays arethere atmost in 12 months of a year?9.A clock is four and half minutes behind the standardtime(标准时间)at 00.00 on 29thJuly.Itthkeeps working until 7 am on 5Aug,and at the time it is 3 minutes ahead of the standard time.Theright time which the clock shows will

6、be _.10.Wang Gang,Li Qiang,and Zhang Jun each said three sentences.Wang Gang:I am 22,2 years younger than Li Qiang,1 year older than Zhang Jun.Li Qiang:I am not the youngest.There are 3 years between Zhang Jun and me.Zhang Jun is 25.Zhang Jun:I am younger than Wang Gang.Wang Gang is 23.Li Qiang is 3

7、 years older than Wang Gang.If there are only 2 sentences right in each 3 sentences,what is Wang Gang s age?11.The teacher in a kindergarten(幼儿园)give some pictures to the three classes of ABC.Each student can get 6 pictures.If all pictures are given to class B,everyone can get 15 pictures.If all pic

8、tures are given to class C,each student will get 14.If all pictures are given to class A,how many pictures can a student get?12.In the following parallelogram,two straight lines(直线)that parallel(平行)the laterals(边)divide the parallelogram into 9 small parallelograms.The area of the big parallelogram

9、is 99 2cm,the area of the small parallelogram in the middle(the shadow)is 19 2cm,what is the area of quadrilateral（四边形）ABCD？13.Truck A and Truck B start from place A and place B at the same time.The two places are 300 kilometers away from each other.Truck A goes at 60 kilometers per hour toward plac

10、e B,and Truck B goes at 40 kilometers per hour toward place A.When Truck A gets place B,it stops for 2 hours and returns at the same speed.Truck B arrives place A,stays for half an hour and returns at the same speed.When the two trucks meet on the way,how many kilometers is the place away from place

11、 A?14.There are 15 students and they are numbered from 1 to 15.No.1 write a natural number,no.2 says,“The number can be divided by 2 evenly.”No.3 says,“This number can be divided by 3 evenly.”Then all the students say that this number can be divided evenly by their own numbers.No.1 checks one by one,and he finds that only 2 students are wrong.The numbers of the 2 students are next to each other.If the natural number written by No.1 is a six-digit number,what is the number at least(至少)?