南外冲刺数学试卷小升初(全英文)

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 the addition（和）of two prime numbers. A said,“The addition of two prime numbers must be a prime number.”B said,“The addition may not be a prime number.”Who was right?

3.a is a four-digit decimal.The approximate value to the nearest is

4.68.Its maximum value is ____________.

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4.There is a series of numbers:(1,1,1),(2,4,8),(3,9,27),…In the1998group,we add the three numbers 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 are9,

7.5,and7per kilogram respectively.Now we mix（混）5 kilograms of candy A, 4 kilograms of candy B, and 3 kilograms of candy C. ________kilograms

of this mixed candy can be bought with 10 yuan.

7. A natural number is the multiple of 3 and 4. It has 10 divisors including 1 and itself.The natural number is __________.

8. There are at most(最多) 5 Sundays in a month. How many months with 5 Sundays are there at most in 12 months of a year?

9.A clock is four and half minutes behind the standardtime(标准时间)at00.00on29th July.It

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keeps working until 7 am on 5Aug, and at the time it is 3 minutes ahead of the standard time. The right time which the clock shows will 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 years older than Wang Gang.

’s age?

If there are only 2 sentences right in each 3 sentences, what is Wang Gang

11. The teacher in a kindergarten (幼儿园) give some pictures to the three classes o f ABC. Each student can get 6 pictures. If all pictures are given to class B, everyone can get 15 pictures. If all pictures 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)

cm, divide the parallelogram into 9 small parallelograms. The area of the big parallelogram is 99 2

cm, what is the area of the area of the small parallelogram in the middle (the shadow) is 19 2

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 place 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 A?

14. There are 15 students and they are numbered f rom 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 n umber written by No. 1 is a six-digit number, what is the number

at least (至少)?