(Answer time: 90 minutes)

Achievement _ _ _ _ _ _ _

I. Calculation (24 points)

1. Find the unknown X(6 points)

4+0.5 X =9 40X÷ 10% =820 X :=:

2. Calculate with recursive equation (if it can be calculated simply) (15 points)

×( + 16) 3.7×99+3.7 ÷(+)

5. 17-( 1. 17+3.05) 3636÷〔36-(290-272)〕

3. Find the area of the shaded part (unit: cm) (3 points)

Two. Fill in the blanks (each blank 1, * * each blank 2 1)

1. Since the Yushu earthquake, all walks of life have donated 440.99 million yuan to the disaster area. This figure has been rewritten as () billion yuan, and the mantissa after omitting billion yuan is about () billion yuan.

2. Among the numbers -2, +5, -4, -7, -8, -0. 1, 1, () is the closest to 0.

3. Form an equilateral triangle with a 24cm iron wire, and the length of each side is () cm; If any triangle is enclosed, the length of the longest side should be less than () cm.

4. The ratio between the number of unqualified students and the number of qualified students in a class is 1: 19. The pass rate of the whole class in this exam is ()%, and there are 60 people in the class, and there are () people who fail.

5. The age statistics of the students in the school dance team are as follows.

Age (years)

1 1

12

13

14

number of people

four

three

2

1

The mode of this set of data is () and the average is ().

There are six red balls, six black balls and six white balls in the box, except the colors are exactly the same. 1 The possibility that the ball is a red ball is (); Pull out at least () balls to ensure that two of them are the same color.

7. If the length of a rectangular plot (as shown at the bottom left) is increased by 5 meters, its area will increase by () square meters; If the width is increased by 5 meters, its area will increase by () square meters.

8. As shown in the upper right, fold a rectangle with a length of 20 cm and a width of 12 cm in half, and the perimeter of the shaded part is () cm.

9. The picture on the right shows the relationship between the time and distance of the train. The distance of the train is proportional to the time (). According to this calculation, the train will travel () kilometers in 7.5 hours.

10. There is a row of trees by the lake, and the distance between every two trees is 5 meters. Xiao Ming ran from the starting point to the finish line and ran () meters.

1 1. As shown on the left, the bottle contains some wine and is poured into a wine glass. The diameter of the glass mouth is half the diameter of the bottom of the bottle, which can hold about () cups.

12. A row of decorative bricks was pasted on the wall of Feng Chun Restaurant. The length of a rectangular tile is 8 cm longer than its width (both length and width are whole centimeters). If all rectangular tiles are used (for example, 1 in the upper right figure), you need 41; If rectangular and square tiles are pasted at intervals (as shown in Figure 2 on the upper right), only 26 rectangular tiles are needed, and the length of the rectangular tiles is () cm.

13. The picture on the right is an object made of a small cube with a side length of 5 cm. its

The circumference of the bottom surface is () cm; If you want to put it in a big square.

Body, at least need () a small cube.

Third, choose (the serial number of the correct answer in brackets) (10)

1. There is no car on the road on the right. The time for cars to travel on this road is () hours a day.

a . 1 1 b . 13 c . 1 1.5

2. Nanjing Yangtze River Tunnel has been opened. To record the changes in the number of cars passing through every day since the opening, () is the most suitable choice.

A. Bar chart B. Line chart C. Fan chart

You estimate that the orange juice in No.2 glass weighs () grams.

130

4. The common factor of12 and 45 is ().

A.2 B.3 C.5

5. If 1 cube is represented by, then 2 cubes are superimposed and 3 cubes are superimposed. The figure on the right is a geometry formed by the superposition of six cubes. Seen from the front, the plane figure that can be drawn is ().

A. BC

6. Multiply the former term of the ratio, divide the latter term of the ratio by 2, and the ratio ().

A. Four times smaller B. Four times larger C. No change.

7. As shown in the figure, the height of the parallelogram is 8 cm, and its area is () square cm.

48 BC to 60 BC

8. Given a2-b2=(a+b)×(a-b), then 8.752- 1.252= ().

A.75℃ 15

9. The following statement is true ().

A. Because 31÷ 7 = 4 ... 3, 3.1÷ 0.7 = 4 ... 3.

B and 2a represent the addition of two A's and a2 represents the multiplication of two A's, so 2a must be less than a2.

C. Two trapezoids with equal areas may not spell out a parallelogram.

10. Write the words "Love Mathematics" in red, yellow and blue. If you write different words in different colors, there are () different ways to write them.

A.9 B. 6 C. 3

4. Lian Lian (A, B and C are natural numbers other than 0) (4 points)

Backward strategy

If a÷b=c

Then 3(a÷b)=3c.

Properties of equality

If a×b= 12

Then 3a×3b= 108

The changing law of products

a \b \c

= a \(b×c)

The essence of division

If a÷b×c =3

Then a=3÷c×b

Verb (abbreviation of verb) operation (2+4 = 6 points)

1. Four exhibition halls are connected on the Expo axis of the Shanghai World Expo, as shown below: (1) The China National Pavilion is 500 meters south of the central point; (2) The Expo Cultural Center is located 300 meters northeast of the central point. Please mark the locations of these two exhibition halls with ""on the map. (Continue to draw traces)

2.( 1) Rotate the parallelogram 90 clockwise around point B? , draw the rotated figure.

(2) Draw the other half with the straight line L as the symmetry axis, making it an axisymmetric figure.

(3) Reduce the circle by 1:2 and draw it at the position with the center of the circle at (5,8).

Six, explore the law (3+ 1+ 1=5 points)

……

(1) Complete the table according to the changing law of the graph. (2 points)

Number of squares

1

2

three

four

five

……

n

Number of right triangles

four

eight

……

(2) According to the drawing method above, if you want to get 100 right triangles, you should draw () squares.

(3) If the area of the first square is 256 square decimeters. According to the above drawing method, the area of the sixth square is () square decimeter.

Seven, solve the problem (5 x 4+6+4 = 30 points)

How many cubic meters of water do Americans have per capita?

The total water resources in China is about 280 million cubic meters. However, due to the large population, the per capita water resources are less than 2300 cubic meters, second only to the United States.

1.

2. The current electricity consumption of residents in a city is 0.52 yuan/hour. In order to advocate the construction of a "conservation-oriented society", citizens are encouraged to install time-sharing meters and implement peak-valley electricity prices. The charging standards are as follows:

a period of time

Peak hours (8: 00 ~ 2 1: 00)

Valley time (2 1: 00 ~ 8:00 the next day)

Per kwh/yuan

0.55

0.35

Xiaohongjia consumes about 100 kwh of electricity a month, with the peak of electricity consumption at the low point. Is Xiaohong's time-sharing meter economical?

3. Su Peng Construction Real Estate Company actually invested 5 1 10,000 yuan to build houses, saving 15% than planned. How much do you plan to invest?

4. As shown in the figure, how many cubic centimeters does this figure need to rotate around AB?

5. The following is the statistical chart of the daily schedule distribution and the periodic test results of student A in the graduation review stage.

(Figure 1) (Figure 2)

(1) As can be seen from the figure 1, the online time of classmate A is () hours.

(2) As can be seen from Figure 2, a student's sixth grade dropped by ()% compared with the first grade.

(3) What does the above statistical analysis tell you?

6. The sides of the rectangular box are triangles and parallelograms (as shown below), including 65438 triangles * *+092, and the right-angled sides of triangles are 4 cm long. Please calculate the side area of this rectangular box (excluding seams).