乐灵南外冲刺六年级寒假数学
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1、As is shown in the picture, two ants are walking along the side of a standard triangle;
they start at the same time from Point A and Point B to Point C. AntA waik along theside clock wisely(顺时针)by 1cm per second; AntB get back when meet Point A or C by1.8cm per second. How long will Anta and B meet each other for the first fime?
2、LaoMa learnt a flying trick from Monkey King. He can either fly 45km from east to
west or 108km from west to east by one somersault,one day, LaoMa went to visit Monkey King who lived to the east of his home, and the distance is 135km. How many somersaults should LaoMa turn to reach Monkey King?
3、A plus B is 171.6. We do not know which of them is larger, but we know that if we
move the decimal point once backward, the two,numbers become equal. So what is A, and what is B?
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4、As is shown in the picture, PointB is the midpoint of AB, F is the midpoint of AD, the
ared of Triangle EBC is 6 square centimeters , and the area of TriangleABF is 4 square centimeters. What is the area of TrapeziumABCD?
5、As is shown in the picture, every two lines make a 15 degree included angleI(夹角)，so
what is the total degree of all the angles shown in the picture?
6、What is the sum of the number of triangles and that of the trapeziums shown in the
picture below？
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7、There are 6 presents which are the same to give away to 4 children. Every child should
have at least one present. How many ways do you have to give away the presents?
8、There is a square. If the side length (边长)become 5cm longer, its area would be
425square centimeters larger. What is the original area of this square?
9、There are 9 different Chinese books, 7 different English books, 5 different Japanese
books. Now you choose any 2 books from them, and you can only choose bilingually. How many ways are there for you to make such a choice?
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10、Given that there are 6 numbers form 0-5, and you are asked to use thse 6 numbers
to make a 5-digit number(五位数)without repeated number in it(没有重复数字). So how many new numbers like this can you make?
11、There are several students going boating. If each boat seats 6 children, there would
be 4 vacancies(空位);if each boat seats 5 students, there would be 4 children having no seats. How many students are there going boating?
12、A teacher needed badly some exercise books, whick cost 1.3 Yuan each He sent
Xiaotao to the task and gave him some money. We know that form each exercise book he bought, Xiaotao could get 0.5 Yuan as. the change. But unluckily, Xiaotao lost 5 Yuan on his way and could not make it to get bake in time to make up for the 5 Yuan he lost, so he had to buy another kind of exercise book in the same quantity, whick cost 1.1 Yuan each. He got 2.5 Yuan back as the change. Well, how much money did the teacher give Xiaotao at first?
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13、The load bearing capacity(承重能力)of a ship is 260ton, and the ship can seat goods
which takes as much the volume as 1000 cubic meters. Now if the goods on board can be divided into 2 categories: A & B and the volume of A is 8 cubic meters per ton, and that of B is 2 cubic meters per ton, how should we load A&B so as to make the best use of this ship?
14、There is a 201 digit-number(201位)made of natural numbers(自然数)starting form
1. If we divide it by 3, what will be the remaining number?
15、There is a round track(环形跑道)with the length of 600 meters, A and B start from
the same place and go in the opposite directon(背向而行).They meet each other 4 minutes later. If they go in the same direction at the same time from the same place and A catch up with B 20minutes later. How many meters do A and B separately run per minute?
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16、There are Train A and Train B going towards each other form two places; and they
meed in somewhere 15km away form the midpoint. Train A goes 55km per hour and Train B goes 50km per hour. How distant are the two places from each other?
17、Uncle Li and Uncle Wang raise 521 heads of cattle in total. 67% of the cattle raised
by Uncle Li are females while that among Uncle Wang is only reaches 1/13. So how many heads of cattle do they raise separately?
18、M/7 is a simplest proper fraction. If we add several number on its continuing digits
from the first digit behind the decimal point, and add them form left to right, after transforming it into a decimal, we got 2004. What is M？
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乐宁南外冲刺数学试卷
