Entrance Examination for Freshmen in Jinyuan (Longhu) Experimental Middle School in 2009 (B)

mathematics

The full mark of this volume is 1 10, and it will be completed in 70 minutes; Additional questions with a score of 10 can be recorded in the total score, but the total score shall not exceed 1 10.

I. True or False (the first item 1 point, ***6 points)

1, the prime factors of a number are all prime numbers. ( )

2. The quotient of a number divided by a fraction must be greater than the original number. ( )

A quadrilateral with four equilateral sides is a square. ( )

4. Two identical triangles can form a parallelogram. ( )

5. The volume of the cylinder is constant, and the radius of the bottom surface is inversely proportional to the height. ( )

6. Salt content 15% means that salt accounts for 15% of water. ( )

Second, multiple-choice questions (2 points for each small question, *** 10)

1, the total area of Shantou city is 2064.

A, square meters b, square kilometers c, kilometers

2, the following is the equation formula is ()

a、8+6= 14 B、X- C、4X+2=5 D、 15X

3, equilateral triangle is ()

A, obtuse triangle b, acute triangle c, right triangle

4. The rolling distance of wheel A is 4 rounds, and wheel B rotates 3 rounds. The ratio of the diameters of wheel A and wheel B is ()

a、3:4 B、4:3 C、9: 16 D、 16:9

5, estimate the calculation results of the following four formulas, the biggest is ()

a、7777×( 1+ ) B、7777 \u( 1+)C、7777 \u( 1-)D、7777×( 1-)

Fill in the blanks (2 points for each small question, 20 points for * * *)

1, the hundreds and thousands of digits of a number are all 5, and the rest are all 0. This number is written as:, and the number written as ten thousand is:.

2, 150 minutes = hours; 0.24 ton = kg.

3. A number consists of three 1 and four 0. 1. This number is, and its reciprocal is.

Class 4.6 (1) planted 200 trees, but 10 trees did not survive. The survival rate is.

5. The top angle of an isosceles triangle is 90゜, and the bottom angle is degrees.

6. At present, the annual interest rate of one-year time deposit is 2.25%. Grandma will deposit 40,000 yuan in the bank and get the principal and interest (excluding interest income tax) at the end of one year.

7. Among the bold letters ○ 1M, ○2N, ○3O and ○4P, those are axisymmetric figures (fill in the serial number).

8. The distance between A and B is m kilometers. The car started from A to B and traveled for n hours at a speed of 85 kilometers per hour, which means that the car is still kilometers away from B. ..

9. Arrange 8, 5 and 0 into a three-digit number to make it an even number. There are three such figures.

10, number of people who fill vacancies according to the law:,,, (),

Four, calculation (***28 points)

1, write the numbers directly (each small question 1 point, ***8 points)

4-4÷2= - = 0. 125×2.5×8=

0.4 = × 1 = 5 ×0÷0.935= 0.63÷99×0.63=

2. Find the number of knowledge X (3 points for each question, ***6 points)

=×(x–3)= 3

3. Reasonable and flexible operation (3 points for each question, *** 12 points)

27- - 6.6÷ 1.5 - 1.5×0.8

( - )× 16 7.8÷[( ÷0.75)×2 ]

4. Column calculation (4 points for each question, *** 12 points)

What's the difference between the quotient of (1)6.4 divided by 14 minus 0.36?

(2) A number is three times that of 28 times 4. Find this number (equation solution).

(3) Find the area of the shaded part in the figure below (numerical unit in the figure: cm).

Five, the application problem (6 points for each small question, ***36 points)

1.The per capita disposable income of residents in a western city from 2005 to 2008 is shown in the following statistical chart. Fill in the blanks:

(1) This statistical chart is called a statistical chart.

(2) In the past four years, the per capita disposable income of residents in this city was RMB.

(3) In 2008, the per capita disposable income increased by% compared with 2005.

2. A bag of rice is 40kg. I ate 20% in the first week and 20% in the second week. How many kilograms are left?

There are 8.4 cubic meters of sand. How thick can a room with a length of 4.2 meters and a width of 5 meters be padded?

Bind exercise books of the same size with a batch of paper. If each book is 15, 240 volumes can be bound. If each book has 18 volumes, how many volumes can be bound? (Use proportional solution)

5. A pile of coal is cone-shaped, with a bottom circumference of12.56m and a height of1.2m.. If each cubic meter of coal weighs about 1.4 tons, how many tons does this pile of coal weigh? (The number shall be kept to one decimal place)

6. A math contest was held in a city this year, and several first, second and third prizes were awarded as a result of the contest. Among them, those who won the first and second prizes accounted for the total number, and those who won the first and third prizes were 45 more than those who won the second prize. How many people won the first, second and third prizes respectively?

Vi. Additional questions (* *10)

1. The number of teachers in a primary school is between 80 and 90. As we all know, the ratio of male teachers to female teachers is 5: 9. Let's do the math: there are male teachers and female teachers. (2 points)

2. Stack 2009 cubes with a side length of 1cm into a cuboid, and the length, width and height are all greater than 2cm. The length, width and height of this cuboid are centimeters, centimeters and centimeters respectively. (2 points)

On New Year's Eve this year, Xiao Huan's family went to the restaurant for a reunion dinner and didn't enter the restaurant until after 5 pm. The hour hand and minute hand on the dining room wall clock just coincided and ate for more than an hour. At 7 o'clock, the meal is over. At this time, the hour hand and the minute hand are in a straight line. How long does Xiao Huan's family eat in the restaurant on New Year's Eve? (6 points)