1. If100th of a certain number is 7, then a quarter of this number is ().

(A)0.002(B)0.003(C)0.004(D)0.005

2. Two people walk in opposite directions from A and B at the same time and meet at A. If two people speed up by 20% respectively, but still walk in opposite directions from A and B at the same time and meet at B, then ()

(A)A is between A and B.

(C)A and B coincide. (d) The positional relationship between A and B is uncertain.

3. The figure 1 is a cuboid composed of 48 small cubes, and its side length is 1. It is placed on the desktop, and it is drawn without touching its surface. So, the six small cubes that are not drawn are ().

(1) 12.

Eight.

Six.

Four.

4. The following four graphs, from left to right, are rectangle, triangle, trapezoid and circle, and their related data are shown in the graph, among which the smallest one is ().

3 Long-distance runners A, B and C start running at the same time. A runs 5 meters per second on average, B runs 288 meters per minute on average, and C runs 18.3 kilometers per hour. The order of the average speed of the three of them from big to small is ()

(a) C, A, B, B, C, A, B and D, A, C and B.

6.A, B, C and D all contain sugar water. The sugar in cup A is 1.2%, the sugar and water in cup B are 3g and 297g respectively, and the water in cup C is 98. 7%.D cup of raw sugar 3g, 240g, and then add 70g of water. The lowest percentage of sugar in four cups of sugar water is ()

(a) A. (b) B. (c) C. (d) D

7. When Party A and Party B travel, Party A brings 35,000 Hong Kong dollars, and the money brought by Party B is less than that brought by Party A 150 Hong Kong dollars, so the money brought by Party B ().

(a) There is less money than A. (b) There is as much money as A. 。

(c) HK$ 8,000 more than the money brought by Party A, (d) 65,438+0.2 times the money brought by Party A. 。

8. Party A, Party B, Party C and Party D sit around the square table and play poker. A said: I don't sit south, B said: I sit opposite C, and C said: I sit facing west, so the square table sits in four directions in turn ()

(a) ethylene propylene glycol. Ethylene propylene glycol. (c) ethylene propylene glycol. (d) ethylene propylene glycol

9. Xiao Qiang and Xiaogang often borrow books from Grandpa Wang. It is known that Grandpa Wang has 100 books, of which 60 have been read, Xiaogang has read 50, and both of them have read 20, so ()

There are 20 books that neither of them has read.

There are 30 books that Xiao Qiang has read, but Xiaogang hasn't.

Xiao Gang has read 40 books, but Xiao Qiang hasn't.

Only one person has read 70 books.

10. Fold a circular piece of paper twice and then fold it in half to get Figure 2, and then cut it along the dotted line in the figure. Get two parts, one of which is the expanded plane figure ()

Second, fill in the blanks.

1.2006×2008× __________。

2._______×999。

3. If,,, then the largest is _ _ _ _ _ _ _, and the smallest is _ _ _ _ _ _.

4. If the price of a commodity is increased by 25%, if the sales amount after the price increase is the same as that before the price increase, the sales volume will be reduced by _ _ _ _ _ _ _ _ _%.

The integer part of 5 is _ _ _ _ _ _.

In 2008, the 29th Olympic Games will be held in China. The unit number of is _ _ _ _ _ _ _.

7. If the difference between two four-digit numbers is 2008, we call them number pairs, such as 32 10 and 1202, 6 158 and 4 150. There are _ _ _ _ _ _ pairs of four-digit "number pairs" like this.

8. Observe the following serial numbers and equations, and fill in ().

( 1) 1 + 2 + 3 = 6;

(2) 3 + 5 + 7 = 15;

(3) 5 + 8 + 1 1 = 24;

(4) 7 + 1 1 + 15 = 33;

( ) ( ) + ( ) + 7595 = ( )

9. 10 Matchsticks are connected in turn to form a triangle, and _ _ _ _ _ can be connected into different triangles.

10. Figure 3 is the statistical chart of Xiaohua's five math exams. The average score of Xiaohua's five tests is _ _ _ _ _.

1 1. A decimal, if its decimal part is expanded five times, it becomes17.92; If all its decimals are enlarged by 8 times, it becomes 20.38. Then this decimal is _ _ _ _ _ _.

12. As shown in Figure 4, the vertex o of ∠AOB is on a straight line, and it is known that the sum of all angles less than a right angle in the figure is 400 degrees, then ∠ AOB = _ _ _ _ _ _ _ _ _.

13. There are _ _ _ _ _ _ _ triangles in this picture.

14. There are two ropes, the length is three times shorter, and the two ropes are cut off 10 cm, and the length is five times shorter. Can you tell me the original length of the short rope is _ _ _ _ cm?

15. If the maximum integer does not exceed, such as [2. 1]=2, [3.9]=3, [5.0]=5, then [0.1234×100] ÷.

16. According to Figure (a) and Figure (b), it can be judged that the _ _ _ end of the balance in Figure (c) will sink. (Fill in "left" or "right")

17. The sum of the three fractions is that their denominators are the same, and the molecular ratio is 1: 2: 3, of which the smallest fraction is _ _ _ _ _ _ _ _.

18. As shown in the figure, if the perimeters of three graphs are equal, then _ _ _ _ _ _ _ _.

Third, answer the question.

1.ISBN consists of 10 digits, which are divided into four segments, and the first nine digits are divided into three groups; They are used to represent the group number, publishing house and book number respectively, and the last digit is used for checking. The check code can be calculated according to the first nine bits in a certain order. For example, the book number of a book is ISBN 7-107-17543-2, and its check code is calculated in the following order:

①7× 10+ 1×9+0×8+7×7+ 1×6+7×5+5×4+4×3+3×2=207;

②)207÷ 1 1= 18……9;

③ 1 1-9 = 2.2 This is the check code of the book number.

In the above order, find ISBN 7-303-076 18-□.

2. Calculation:

1 ÷ (2 ÷ 3) ÷ (3 ÷ 4) ÷ (4 ÷ 5) ÷ ...÷ (40 14 ÷ 40 15) ÷.

2008×2007-2007(3 points)

3.□ and △ represent two numbers respectively, and □-△ = 10, then □ =?

How many tables does Party A have and how many chairs does Party B have? If Party B replaces all chairs with the same number of tables, then Party A needs to make up 320 yuan. B if you don't chip in, you can switch back to five tables. It is known that three tables are less than five chairs, 48 yuan. B How many chairs are there?

Xiaoming's family has two old clocks, one is fast 12 minutes, and the other is 20 minutes slow. At 6 am standard time, two clocks are aligned with standard time. Stop the fast clock when it shows 3: 00pm, and keep the fast clock moving until the slow clock shows 3: 00pm. How long has the fast clock stopped (standard time)?

Reference answer

First, multiple choice questions

1 .

A number is 0.07 and its fourteenth power is 0.005.

Article 2, paragraph 3.

Party A and Party B speed up by 20% respectively, and the intersection points coincide.

Article 3, paragraph 2.

The six unpainted surfaces are eight between the second and third layers.

Article 4, paragraph 1.

Through calculation, we can know that the area of A is the smallest.

Article 5, paragraph 1.

A runs 5× 60 = 300 meters per minute. B runs 288 meters per minute. C running every minute 18300 ÷ 60 = 305 meters.

Article 6, paragraph 4.

The percentage of sugar content is higher than that of sugar water. According to the calculation, the percentage of sugar content in butyl is the lowest.

Article 7, paragraph 3.

It is calculated that the money brought by B is 43,000 Hong Kong dollars, which is 8,000 Hong Kong dollars more than that brought by A. ..

Article 8, paragraph 4.

C sits facing west, indicating that C sits facing east; B and C sit opposite each other, indicating that B is sitting in the west; If a doesn't sit south, we can know that a sits north; The rest of Ding sits in the south.

Article 9 (d) 。

Of the 60 books that Xiao Qiang has read, 20 have just read, while Xiao Qiang himself has read 40. Of the 50 books Xiao Gang has read, 20 were read by Xiao Qiang and 30 were read by Xiao Gang himself. So only one person has read 40+30 = 70 books.

10，D .

Second, fill in the blanks

1、2.

2、9.

3、c、a

4、20

5、 1

6、6

7、6992

8、 1899,3797,5696, 17088

9、2

10、92

1 1、 13.82

12、40

13、2 1

14、20

15、0. 12

16, right

17, twenty sevenths

18、20:25:24

Third, answer questions.

1、

Step one:

7× 10+3×9+0×8+3×7+0×6+7×5+6×4+ 1×3+8×2

=70+27+0+2 1+0+35+24+3+ 16

= 196

Step two:

196÷ 1 1= 17……9

Step two:

1 1-9 = 2, and the check code of ISBN is 2.

2、

( 1)2008 。 First, change the division in brackets into components, then change the division outside brackets into multiplication, and then subtract points.

(2)2008×20072008-2007×20082007

=2008×(20072007+ 1)-2007×(20072007+ 10000)

=2008×20072007+2008-2007×20072007-20070000

=20072007+2008-20070000

=40 15

3. method of substitution solved this problem with method of substitution, □ = 50.

4, the price of the table, 320 ÷ 5 = 64 yuan;

The price of the chair, (64× 3+48) ÷ 5 = 48 yuan;

Number of chairs owned by B: 320 ÷ (64-48) = 20;

It is 9 hours from 6 am to 3 pm. It's 3 o'clock in the afternoon, which is faster than the correct time 12× 9 = 108 minutes, that is to say, it will take 108 minutes before the correct time is 3 o'clock in the afternoon. So this 108 minute has to stop. The slow clock will be 20 minutes slower every hour. When it arrives at the correct time of 3 pm, it will have to wait for 20× 9 = 180 minutes. This 180 minutes, the fast clock will also stop. A * * * shutdown 108+ 180 = 288 minutes.